Iranian Journal of Fuzzy SystemsIranian Journal of Fuzzy Systems
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Feed provided by Iranian Journal of Fuzzy Systems. Click to visit.Cover Vol 16, No 1, February 2019
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Thu, 31 Jan 2019 20:30:00 +0100Separable programming problems with the max-product fuzzy relation equation constraints
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In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The detection of the optimal solution of the second subproblem by finding all the minimal solutions will be very time-consuming because of its NP-hardness. To overcome such difficulty, two types of sufficient conditions are proposed to find some of its optimal components or all of them. Under the first type sufficient conditions, some procedures are given to simplify the original problem. Also, a value matrix is defined and an algorithm is proposed to compute an initial upper bound on its optimal objective value using the matrix. Then, a branch-and-bound method is extended using the matrix and initial upper bound to solve the simplified problem without finding all the minimal solutions. Thu, 31 Jan 2019 20:30:00 +0100A comparative performance of gray level image thresholding using normalized graph cut based ...
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In this research paper, we use a normalized graph cut measure as a thresholding principle to separate an object from the background based on the standard S membership function. The implementation of the proposed algorithm known as fuzzy normalized graph cut method. This proposed algorithm compared with the fuzzy entropy method [25], Kittler [11], Rosin [21], Sauvola [23] and Wolf [33] method. Moreover, we examine that in most cases, our algorithm gives the lowest absolute error that improves the segmentation process of gray images. Finally, we change different parameter values in fuzzy normalized graph cut and the effect of the substitutes is studied. Also, we analyze the computational complexity of fuzzy weight matrix (fuzzification) results with a weight matrix (classical) results. Thu, 31 Jan 2019 20:30:00 +0100Multimodal medical image fusion based on Yager’s intuitionistic fuzzy sets
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The objective of image fusion for medical images is to combine multiple images obtained from various sources into a single image suitable for better diagnosis. Most of the state-of-the-art image fusing technique is based on nonfuzzy sets, and the fused image so obtained lags with complementary information. Intuitionistic fuzzy sets (IFS) are determined to be more suitable for civilian, and medical image processing as more uncertainties are considered compared with fuzzy set theory. In this paper, an algorithm for effectively fusing multimodal medical images is presented. In the proposed method, images are initially converted into Yager’s intuitionistic fuzzy complement images (YIFCIs), and a new objective function called intuitionistic fuzzy entropy (IFE) is employed to obtain the optimum value of the parameter in membership and non-membership functions. Next, the YIFCIs are compared using contrast visibility (CV) to construct a decision map (DM). DM is refined with consistency verification to create a fused image. Simulations on several pairs of multimodal medical images are performed and compared with the existing fusion methods, such as simple average, discrete cosine transform (DCT), redundant wavelet transform (RWT), intuitionistic fuzzy set, fuzzy transform and interval-valued intuitionistic fuzzy set (IVIFS). The superiority of the proposed method is presented and is justified. Fused image quality is also verified with various quality metrics, such as spatial frequency (SF), average gradient (AG), fusion symmetry (FS), edge information preservation (QAB/F), entropy (E) and computation time (CoT). Thu, 31 Jan 2019 20:30:00 +0100Some improvements in fuzzy turing machines
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In this paper, we improve some previous definitions of fuzzy-type Turing machines to obtain degrees of accepting and rejecting in a computational manner. We apply a BFS-based search method and some level’s upper bounds to propose a computational process in calculating degrees of accepting and rejecting. Next, we introduce the class of Extended Fuzzy Turing Machines equipped with indeterminacy states. These states are used to characterize the loops of classical Turing machines in a mathematical sense. In the sequel, as well as the notions of acceptable and decidable languages, we define the new notion of indeterminable language. An indeterminable language corresponds to non-halting runs of a machine. Afterwards, we show that there is not any universal extended machine; which concludes that these machines cannot solve the halting problem. Also, we show that our extended machines and classical Turing machines have the same computational power. Then, we define the new notion of semi-universality and prove that there exists a semi-universal extended machine. This machine can indeterminate the complement of classical halting problem. Moreover, to each r.e or co-r.e language, we correspond a language that is related to some extended fuzzy Turing machines.Thu, 31 Jan 2019 20:30:00 +0100On generalized fuzzy numbers
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This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrated into a partial ordering set, a semi-ring and a complete non-separable metric space. Again, through two isomorphism theorem, the relationship between generalized fuzzy number space and fuzzy number space is established. Finally, as an application of generalized fuzzy numbers, the concept of continuous generalized fuzzy number-valued functions is introduced. And it is pointed out that many results of trapezoidal generalized fuzzy numbers can also be extended to generalized fuzzy numbers. Thu, 31 Jan 2019 20:30:00 +0100Restricted cascade and wreath products of fuzzy finite switchboard state machines
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A finite switchboard state machine is a specialized finite state machine. It is built by binding the concepts of switching state machines and commutative state machines. The main purpose of this paper is to give a specific algorithm for fuzzy finite switchboard state machine and also, investigates the concepts of switching relation, covering, restricted cascade products and wreath products of fuzzy finite switchboard state machines. More precisely, we study that the direct products/Cartesian compositions of two such fuzzy finite switchboard state machines is again a fuzzy finite switchboard state machine. In addition, we introduce the perfect switchboard machine and establish its Cartesian composition. The relations among the products also been examined. Finally, we introduce asynchronous fuzzy finite switchboard state machine and study the switching homomorphic image of asynchronous fuzzy finite switchboard state machine. We illustrate the definition of a restricted product of fuzzy finite switchboard state machine with the single pattern example. Thu, 31 Jan 2019 20:30:00 +0100Multiobjective security game with fuzzy payoffs
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A multiobjective security game problem with fuzzy payoffs is studied in this paper. The problem is formulated as a bilevel programming problem with fuzzy coefficients. Using the idea of nearest interval approximation of fuzzy numbers, the problem is transformed into a bilevel programming problem with interval coefficients. The Karush-Kuhn-Tucker conditions is applied then to reduce the problem to an interval multiobjective single-level problem. It is shown that the solutions of this problem are obtained by solving a single-objective programming problem. Validity and applicability of the method are illustrated by a practical example. Thu, 31 Jan 2019 20:30:00 +0100A duality between LM-fuzzy possibility computations and their logical semantics
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Let X be a dcpo and let L be a complete lattice. The family σL(X) of all Scott continuous mappings from X to L is a complete lattice under pointwise order, we call it the L-fuzzy Scott structure on X. Let E be a dcpo. A mapping g : σL(E) −> M is called an LM-fuzzy possibility valuation of E if it preserves arbitrary unions. Denote by πLM(E) the set of all LM-fuzzy possibility valuations of E. The denotational semantics assigning to an LM-fuzzy possibility computation from a dcpo D to another one E is a Scott continuous mapping from D to πLM(E), which is a model of non-determinism computation in Domain Theory. A healthy LM-fuzzy predicate transformer from D to E is a sup-preserving mapping from σL(E) to σM(D), which is always interpreted as the logical semantics from D to E. In this paper, we establish a duality between an LM-fuzzy possibility computation and its LM-fuzzy logical semantics. Thu, 31 Jan 2019 20:30:00 +0100L-valued Fuzzy Rough Sets
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In this paper, we take a GL-quantale as the truth value table to study a new rough set model—L-valued fuzzy rough sets. The three key components of this model are: an L-fuzzy set A as the universal set, an L-valued relation of A and an L-fuzzy set of A (a fuzzy subset of fuzzy sets). Then L-valued fuzzy rough sets are completely characterized via both constructive and axiomatic approaches. Thu, 31 Jan 2019 20:30:00 +0100A novel parametric ranking method for intuitionistic fuzzy numbers
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Since the inception of intuitionistic fuzzy sets in 1986, many authors have proposed different methods for ranking intuitionistic fuzzy numbers (IFNs). How ever, due to the complexity of the problem, a method which gives a satisfactory result to all situations is a challenging task. Most of them contained some shortcomings, such as requirement of complicated calculations, inconsistency with human intuition and indiscrimination and some produce different rankings for the same situation and some methods cannot rank crisp numbers. For overcoming the above problems, in this paper, a new parametric ranking method for IFNs is proposed. It is developed based on the concept α-cuts and β-cuts and area on left side of IFNs. The proposed ranking method is applied to solve partner selection problem in which the rating of partner on attributes are expressed by using triangular IFNs. The proposed method is much simpler and more efficient than other methods in the literature. Some comparative examples are also given to illustrate the advantages of the proposed method. Thu, 31 Jan 2019 20:30:00 +0100Coverings, matchings and paired domination in fuzzy graphs using strong arcs
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The concepts of covering and matching in fuzzy graphs using strong arcs are introduced and obtained the relationship between them analogous to Gallai’s results in graphs. The notion of paired domination in fuzzy graphs using strong arcs is also studied. The strong paired domination number γspr of complete fuzzy graph and complete bipartite fuzzy graph is determined and obtained bounds for the strong paired domination number of fuzzy graphs. An upper bound for the strong paired domination number of fuzzy graphs in terms of strong independence number is also obtained. Thu, 31 Jan 2019 20:30:00 +0100Generalized states on EQ-algebras
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In this paper, we introduce a notion of generalized states from an EQ-algebra E1 to another EQ-algebra E2, which is a generalization of internal states (or state operators) on an EQ-algebra E. Also we give a type of special generalized state from an EQ-algebra E1 to E1, called generalized internal states (or GI-state). Then we give some examples and basic properties of generalized (internal) states on EQ-algebras. Moreover we discuss the relations between generalized states on EQ-algebras and internal states on other algebras, respectively. We obtain the following results: (1) Every state-morphism on a good EQ-algebra E is a G-state from E to the EQ-algebra E0 = ([0,1],∧0,⊙0,∼0,1). (2) Every state operator µ satisfying µ(x)⊙µ(y) ∈ µ(E) on a good EQ-algebra E is a GI-state on E. (3) Every state operator τ on a residuated lattice (L,∧,∨,⊙,→,0,1) can be seen a GI-state on the EQ-algebra (L,∧,⊙,∼,1), where x ∼ y := (x → y) ∧ (y → x). (4) Every GI-state σ on a good EQ-algebra (L,∧,⊙,∼,1) is a internal state on equality algebra (L,∧,∼,1). (5) Every GI-state σ on a good EQ-algebra (L,∧,⊙,∼,1) is a left state operator on BCK-algebra (L,∧,→,1), where x → y = x ∼ x∧y. Thu, 31 Jan 2019 20:30:00 +0100Category and subcategories of (L,M)-fuzzy convex spaces
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Inthispaper, (L,M)-fuzzy domain finiteness and (L,M)-fuzzy restricted hull spaces are introduced, and several characterizations of the category (L,M)-CS of (L,M)-fuzzy convex spaces are obtained. Then, (L,M)-fuzzy stratified (resp. weakly induced, induced) convex spaces are introduced. It is proved that both categories, the category (L,M)-SCS of (L,M)-fuzzy stratified convex spaces and the category (L,M)-WICS of (L,M)-fuzzy weakly induced convex spaces, are coreflective subcategories of (L,M)-CS. It is also proved that three isomorphic categories, namely, the category MCS of M-fuzzifying convex spaces, the category (L,M)-CGCS of (L,M)-fuzzy convex spaces induced by M-fuzzifying convex spaces and the category (L,M)-ICS of (L,M)-fuzzy induced convex spaces, are coreflective subcategories of both (L,M)-SCS and (L,M)-WICS. Thu, 31 Jan 2019 20:30:00 +0100A kind of fuzzy upper topology on L-preordered sets
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Considering a commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of stratified L-filters, this paper introduces a kind of fuzzy upper topology, called fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completely distributive L-ordered set, the fuzzy S-upper topology has a special base such that it looks like the usual upper topology on the set of real numbers. For every complete L-ordered set, the fuzzy S-upper topology coincides the fuzzy Scott topology.Thu, 31 Jan 2019 20:30:00 +0100Persian-translation, Vol 16, No 1, February 2019
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Thu, 31 Jan 2019 20:30:00 +0100(1709-3919) FUZZY TYPE THEORY WITH PARTIAL FUNCTIONS
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This paper is a study of fuzzy type theory (FTT) with partialfunctions. Out of several possibilities we decided to introduce a special value"*" that represents "undefined". In the interpretation of FTT, this value lays outside of the corresponding domain. In the syntax it can be naturally rep-resented by the description operator acting on the empty (fuzzy) set, becausechoosing an element from its kernel gives no result. Among many results, wewill show that if, in a theory T, "*" is defined or provable then T is contra-dictory. We will also show completeness in the sense any consistent theory ofFTT with partial functions has a model.Sat, 30 Jun 2018 19:30:00 +0100(1703-3560) THE FUZZY GENERALIZED TAYLOR'S EXPANSION WITH APPLICATION IN FRACTIONAL ...
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In this paper, the generalized Taylor’s expansion is presented forfuzzy-valued functions. To achieve this aim, fuzzy fractional mean value theoremfor integral, and some properties of Caputo generalized Hukuhara derivativeare necessary that we prove them in details. In application, the fractionalEuler’s method is derived for solving fuzzy fractional differential equations inthe sense of Caputo differentiability. The effectiveness of the proposed methodis verified by three examples.Fri, 31 Aug 2018 19:30:00 +0100(1609-3147) A SYMBOL-BASED FUZZY DECISION-MAKING APPROACH TO EVALUATE THE USER SATISFACTION ON ...
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Academic libraries play a significant role in providing core servicesthat include research, teaching and learning. User satisfaction is an importantindicator for evaluating the performance of library service. This paper developsa method for measuring the user satisfaction in a group decision-makingenvironment. First, the performance of service is evaluated by using questionnairesurvey. The scores are recorded by using some simple symbols. Second,the symbol information along with nonresponse items in questionnaires arefused into an intuitionistic fuzzy information. Third, an experimental analysisis provided to illustrate the validity and effectiveness of introduced methodin this paper. Finally, the theoretical and practical implications of currentmodel are discussed, the important limitations are recognized, and somemain advantages and future research directions of current method are shownin conclusions.Fri, 31 Aug 2018 19:30:00 +0100(1609-3160) SYSTEM OF FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS IN GENERALIZED METRIC SPACE IN ...
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In this paper, we study the existence of integral solutions of fuzzyfractional differential systems with nonlocal conditions under Caputo gener-alized Hukuhara derivatives. These models are considered in the frameworkof complete generalized metric spaces in the sense of Perov. The novel fea-ture of our approach is the combination of the convergent matrix techniquewith Schauder xed point principle of vector valued operators in semilinearBanach spaces. Some computational examples are represented to demonstrateour theoretical results.Fri, 31 Aug 2018 19:30:00 +0100(1710-4006) STABILIZATION OF CHAOTIC SYSTEMS VIA FUZZY TIME-DELAYED CONTROLLER APPROACH
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In this paper, we investigate the stabilization of unstable periodicorbits of continuous time chaotic systems using fuzzy time-delayed controllers.For this aim, we present a control method that can achieve stabilization of anunstable periodic orbit (UPO) without any knowledge of the system model.Our proposal is attained progressively. First, we combine the input-to-statelinearizing controller with the fuzzy method to obtain one that achieves UPOstabilization. Then, we use reduced order sliding observer to estimate the necessarystate for the controller construction. Finally, the efficiency of the proposedmethods is demonstrated using numerical simulations applied to Chua’ssystem.Sat, 01 Sep 2018 19:30:00 +0100(1706-3740) COMPARING UNCERTAINTY DATA IN EPISTEMIC AND ONTIC SENSE USED TO DECISION MAKING PROBLEM
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In the paper aspect of comparability alternatives in decision makingproblem by imprecise or incomplete information is examined. In particular,new definitions of transitivity based on the measure of the intensity preferencebetween pairs of alternatives in epistemic and ontic case is presented and itsapplication to solve decision making problem is proposed.Sat, 01 Sep 2018 19:30:00 +0100(1711-4089) RELATIONSHIPS BETWEEN COMPLETENESS OF FUZZY QUASI-UNIFORM SPACES
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In this paper, we give a kind of Cauchy 1-completeness in probabilisticquasi-uniform spaces by using 1-filters. Utilizing the relationshipsamong probabilistic quasi-uniformities, classical quasi-uniformities and Hutton[0; 1]-quasi-uniformities, we show the relationships between their completeness.In fuzzy quasi-metric spaces, we establish the relationships between thecompleteness of induced probabilistic quasi-uniform spaces and both completenessof induced classical quasi-uniform spaces and induced Hutton [0; 1]-quasiuniformspaces.Sat, 01 Sep 2018 19:30:00 +0100(1710-3525) MOBILE ROBOT WALL-FOLLOWING CONTROL USING A BEHAVIOR-BASED FUZZY CONTROLLER IN ...
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This paper addresses a behavior-based fuzzy controller (BFC) formobile robot wall-following control. The wall-following task is usually usedto explore an unknown environment. The proposed BFC consists of threesub-fuzzy controllers, including Straight-based Fuzzy Controller (SFC), Left-based Fuzzy Controller (LFC), and Right-based Fuzzy Controller (RFC). Theproposed wall-following controller has three characteristics: the mobile robotkeeps a distance from the wall, the mobile robot has a high moving velocity, andthe mobile robot has a good robustness ability of disturbance. The proposedBFC will be used to control the real mobile robot. The Pioneer 3-DX mobilerobot has sonar sensors in front and sides, and it is used in this study. Theinputs of BFC are sonar sensors data and the outputs of BFC are robotsleft/right wheel speed. Experimental results show that the proposed BFCsuccessfully performs the mobile robot wall-following task in a real unknownenvironment.Sat, 01 Sep 2018 19:30:00 +0100(1711-4049) INCIDENCE CUTS AND CONNECTIVITY IN FUZZY INCIDENCE GRAPHS
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Fuzzy incidence graphs can be used as models for nondeterministicinterconnection networks having extra node-edge relationships. For example,ramps in a highway system may be modeled as a fuzzy incidence graph sothat unexpected ow between cities and highways can be effectively studiedand controlled. Like node and edge connectivity in graphs, node connectivityand arc connectivity in fuzzy incidence graphs are introduced in this article.Their relationships with fuzzy connectivity parameters are discussed and re-sults similar to Whitney's theorems are obtained. Also, the incidence is usedto model flows in human trafficking networks.Fri, 14 Sep 2018 19:30:00 +0100(1708-3877) RANKING TRIANGULAR INTERVAL-VALUED FUZZY NUMBERS BASED ON THE RELATIVE PREFERENCE ...
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In this paper, we first use a fuzzy preference relation with a mem-bership function representing preference degree for comparing two interval-valued fuzzy numbers and then utilize a relative preference relation improvedfrom the fuzzy preference relation to rank a set of interval-valued fuzzy num-bers. Since the fuzzy preference relation is a total ordering relation that satis-es reciprocal and transitive laws on interval-valued fuzzy numbers, the rela-tive preference relation is also a total ordering relation. Practically, the fuzzypreference relation is more reasonable on ranking interval-valued fuzzy num-bers than defuzzification because defuzzfication does not present preferencedegree between fuzzy numbers and loses messages. However, fuzzy pair-wisecomparison for the fuzzy preference relation is more complex and difficultthan defuzzification. To resolve fuzzy pair-wise comparison tie, the relativepreference relation takes the strengths of defuzzification and the fuzzy pref-erence relation into consideration. The relative preference relation expressespreference degrees of interval-valued fuzzy numbers over average as the fuzzypreference relation does, and ranks fuzzy numbers by relative crisp values asdefuzzification does. In fact, the application of relative preference relationwas shown in traditional fuzzy numbers, such as triangular and trapezoidalfuzzy numbers, for previous approaches. In this paper, we extend and utilizethe relative preference relation on interval-valued fuzzy numbers, especiallyfor triangular interval-valued fuzzy numbers. Obviously, interval-valued fuzzynumbers based on the relative preference relation are easily and quickly ranked,and able to reserve fuzzy information.Fri, 14 Sep 2018 19:30:00 +0100(1710-4029) STRATIFIED (L, M)-SEMIUNIFORM CONVERGENCE TOWER SPACES
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The notion of stratified (L;M)-semiuniform convergence towerspaces is introduced, which extends the notions of probabilistic semiuniformconvergence spaces and lattice-valued semiuniform convergence spaces. Theresulting category is shown to be a strong topological universe. Besides, therelations between our category and that of stratified (L;M)-lter tower spacesare studied.Mon, 17 Sep 2018 19:30:00 +0100(1704-3628) ON CHARACTERIZATIONS OF THE FULLY RATIONAL FUZZY CHOICE FUNCTIONS
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In the present paper, we introduce the fuzzy Nehring axiom, fuzzySen axiom and weaker form of the weak fuzzy congruence axiom. We establishinterrelations between these axioms and their relation with fuzzy Chernoffaxiom. We express full rationality of a fuzzy choice function using these axiomsalong with the fuzzy Chernoff axiom.Sat, 22 Sep 2018 20:30:00 +0100(1707-3832) A HYBRID FILTER-BASED FEATURE SELECTION METHOD VIA HESITANT FUZZY AND ROUGH SETS ...
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High dimensional microarray datasets are difficult to classify sincethey have many features with small number of instances and imbalanced distributionof classes. This paper proposes a filter-based feature selection methodto improve the classification performance of microarray datasets by selectingthe significant features. Combining the concepts of rough sets, weighted roughset, fuzzy rough set and hesitant fuzzy sets for developing an effective algorithmis the main contribution of this paper. The mentioned method has twosteps, in the first step, four discretization approaches are applied to discretizecontinuous datasets and selects a primary subset of features by combining ofweighted rough set dependency degree and information gain via hesitant fuzzyaggregation approach. In the second step, a significance measure of features(defined by fuzzy rough concepts) is employed to remove redundant featuresfrom primary set. The Wilcoxon Signed Ranked tes (A Non-parametric statisticaltest) is conducted for comparing the presented method with ten featureselection methods across seven datasets. The results of experiments show thatthe proposed method is able to select a significant subset of features and it isan effective method in the literature in terms of classification performance andsimplicity.Tue, 09 Oct 2018 20:30:00 +0100(1701-3408 ) EXPONENTIAL MEMBERSHIP FUNCTION AND DUALITY GAPS FOR I-FUZZY LINEAR PROGRAMMING ...
http://ijfs.usb.ac.ir/article_4141_0.html
Fuzziness is ever presented in real life decision making problems.In this paper, we adapt the pessimistic approach to study a pair of linearprimal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and provecertain duality results. We generate the duality results using exponential mem-bership and non-membership functions to represent the decision maker's sat-isfaction and dissatisfaction level. Further, two numerical examples have beengiven. In each of these illustrations, varying the values of the shape variablesin the exponential membership functions, various nonlinear optimization prob-lems have been constructed, analyzed and solved. The duality gaps for all theseoptimization problems have been computed and compared with the duality gapunder the linear membership function. We found that these gaps for the I-fuzzy linear primal-dual pair under the exponential membership functions aresmaller as compared with the linear membership functions. The main advan-tage of using the exponential membership function is that it has the flexibilityof altering the values of the shape parameters (as per the decision-maker'ssatisfaction). Finally, with the help of a suitable ranking defuzzification func-tion, we have extended our approach to the I-fuzzy linear problem with fuzzyparameters and fuzzy constraints.Fri, 12 Oct 2018 20:30:00 +0100(1803-4342) A FUZZY REASONING METHOD BASED ON COMPENSATING OPERATION AND ITS APPLICATION TO ...
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In this paper, we present a new fuzzy reasoning method based on the compensatingfuzzy reasoning (CFR). Its basic idea is to obtain a new fuzzy reasoning resultby moving and deforming the consequent fuzzy set on the basis of the moving, deformation,and moving-deformation operations between the antecedent fuzzy set and observationinformation. Experimental results on real-world data sets show that proposed method significantlyimprove the accuracy and time performance of fuzzy neural network learning.Sat, 27 Oct 2018 20:30:00 +0100(1801-4189) DETERMINING APPROPRIATE WEIGHT FOR CRITERIA IN MULTI CRITERIA GROUP DECISION MAKING ...
http://ijfs.usb.ac.ir/article_4236_0.html
Decision matrix in group decision making problems depends on alot of criteria. It is essential to know the necessity of weight or coefficient ofeach criterion. Accurate and precise selection of weight will help to achievethe intended goal. The aim of this article is to introduce a linear programmingmodel for recognizing the importance of each criterion in multi criteria groupdecision making with intuitionistic fuzzy data through similarity measure be-tween each alternative and ideal alternative. Based on this model, decisionmakers and experts will be prevented from making mistakes in recognizing theweight and shape of standardization of their mental measurement units. Byusing of determined weights, the alternatives will be ranked according to a newmethod based on ELECTRE III method. An applied and numerical exampleis presented and the obtained results are compared with other methods.Tue, 13 Nov 2018 20:30:00 +0100(1803-4357) REFUELING PROBLEM OF ALTERNATIVE FUEL VEHICLES UNDER INTUITIONISTIC FUZZY REFUELING ...
http://ijfs.usb.ac.ir/article_4237_0.html
Using alternative fuel vehicles is one of the ways to reduce theconsumption of fossil fuels which have many negative environmental effects.An alternative fuel vehicle needs special planning for its refueling operationsbecause of some reasons, e.g. limited number of refueling stations, uncertainrefueling queue times in the stations, variable alternative fuel prices amongthe stations, etc. In this paper, a new problem as refueling an alternativefuel vehicle on a given path is formulated to minimize the cost of refuelingand waiting times in the stations for refueling operations, simultaneously. Tobe more close to real-world situations, the waiting times are considered asintuitionistic fuzzy numbers in order to reflect uncertainty as well as hesitationdue to various uncontrollable factors. To cope with the uncertainty of theproblem, an intuitionistic fuzzy chance constrained method based on credibilitymeasure is proposed to convert the fuzzy formulation to a crisp model. In orderto tackle the bi-objective crisp formulation, a new interactive fuzzy solutionmethod is proposed. A computational study on a real case from Turkey showsthat the performance of the presented method is either better or the same asthe approaches of the literature.Tue, 13 Nov 2018 20:30:00 +0100(1706-3718) CATEGORIES OF LATTICE-VALUED CLOSURE (INTERIOR) OPERATORS AND ALEXANDROFF L-FUZZY ...
http://ijfs.usb.ac.ir/article_4239_0.html
Galois connection in category theory paly an important role inestablish the relationships between different spatial structures. In this paper,we prove that there exist many interesting Galois connections between thecategory of Alexandroff L-fuzzy topological spaces, the category of reflexiveL-fuzzy approximation spaces and the category of Alexandroff L-fuzzy interior(closure) spaces. This indicates that there is a close connection between thethree structures.Sat, 17 Nov 2018 20:30:00 +0100(1707-3836) PROPERTIES OF FUZZY RELATIONS AND AGGREGATION PROCESS IN DECISION MAKING
http://ijfs.usb.ac.ir/article_4259_0.html
In this contribution connections between input fuzzy relationsR1; : : : ;Rn on a set X and the output fuzzy relation RF = F(R1; : : : ;Rn)are studied. F is a function of the form F : [0; 1]n ! [0; 1] and RF is calledan aggregated fuzzy relation. In the literature the problem of preservation, bya function F, diverse types of properties of fuzzy relations R1; : : : ;Rn is examined.Here, it is considered the converse approach. Namely, fuzzy relationRF = F(R1; : : : ;Rn) is assumed to have a given property and then it is checkedif fuzzy relations R1; : : : ;Rn have this property. Moreover, a discussion on thementioned two approaches is provided. The properties, which are examined inthis paper, depend on their notions on binary operations B : [0; 1]2 ! [0; 1]. Byincorporating operation B these properties are generalized versions of knownproperties of fuzzy relations.Tue, 27 Nov 2018 20:30:00 +0100(1604-2881) A NEW VECTOR VALUED SIMILARITY MEASURE FOR INTUITIONISTIC FUZZY SETS BASED ON OWA ...
http://ijfs.usb.ac.ir/article_4302_0.html
Plenty of researches have been carried out, focusing on the measuresof distance, similarity, and correlation between intuitionistic fuzzy sets(IFSs). However, most of them are single-valued measures and lack of potentialfor efficiency validation. In this paper, a new vector valued similaritymeasure for IFSs is proposed based on OWA operators. The vector is definedas a two-tuple consisting of the similarity measure and uncertainty measure,in which the latter is the uncertainty of the former. OWA operators have theability to aggregate all values in the universe of discourse of IFSs, and to determinethe weights according to specific applications. A framework is built tomeasure similarity between IFSs. A series of definitions and theorems are givenand proved to satisfy the corresponding axioms defined for IFSs. In orderto illustrate the effectiveness of the proposed vector valued similarity measure,a classification problem is used as an application.Mon, 03 Dec 2018 20:30:00 +0100(1708-3894) AN EFFICIENT APPROACH FOR AVAILABILITY ANALYSIS THROUGH FUZZY DIFFERENTIAL ...
http://ijfs.usb.ac.ir/article_4303_0.html
This article formulates a new technique for behavior analysis ofsystems through fuzzy Kolmogorov's differential equations and Particle SwarmOptimization. For handling the uncertainty in data, differential equationshave been formulated by Markov modeling of system in fuzzy environment.First solution of these derived fuzzy Kolmogorov's differential equations hasbeen found by Runge-Kutta fourth order method and thereafter the solutionhas been improved by Particle Swarm Optimization. Fuzzy availability isestimated in its transient as well as steady states. Sensitivity analysis has alsobeen done to find the relative importance of a particular component of thesystem. Butter oil processing plant as an industrial system has been studiedas a case for application of the proposed approach.Mon, 03 Dec 2018 20:30:00 +0100(1712-4130) QUANTALE-VALUED FUZZY SCOTT TOPOLOGY
http://ijfs.usb.ac.ir/article_4311_0.html
The aim of this paper is to extend the truth value table of latticevaluedconvergence spaces to a more general case and then to use it to introduceand study the quantale-valued fuzzy Scott topology in fuzzy domain theory.Let (L, *, ξ) be a commutative unital quantale and let be a binary operationon L which is distributive over nonempty subsets. The quadruple (L, *,ξ) is called a generalized GL-monoid if (L; ; ") is a commutative unital quantaleand the operation is -semi-distributive. For generalized GL-monoid L asthe truth value table, we systematically propose the stratified L-generalizedconvergence spaces based on stratified L-filters, which makes various existinglattice-valued convergence spaces as special cases. For L being a commutativeunital quantale, we define a fuzzy Scott convergence structure on L-fuzzy dcposand use it to induce a stratified L-topology. This is the inducing way to thedefinition of quantale-valued fuzzy Scott topology, which seems an appropriateway by some results.Sat, 08 Dec 2018 20:30:00 +0100(1707-3821) A NEW METHOD FOR SOLVING FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING PROBLEMS
http://ijfs.usb.ac.ir/article_4312_0.html
The purpose of this paper is to develop a new two-stage methodfor fuzzy multi-objective linear program and apply to engineering project port-folio selection. In the fuzzy multi-objective linear program, all the objectivecoeffcients, technological coeffcients and resources are trapezoidal fuzzy num-bers (TrFNs). An order relationship for TrFNs is introduced by using theinterval expectation of TrFNs. In the first stage, the fuzzy multi-objective lin-ear program with TrFNs is transformed into an interval multi-objective linearprogram according to the order relationship of TrFNs. Combining the rankingorder relation between intervals with the satisfactory crisp equivalent formsof interval inequality relations, the interval multi-objective linear program isfurther transformed into a crisp multi-objective linear program. In the secondstage, the positive and negative ideal solutions are calculated as well as thecloseness degrees from the positive ideal solution to all objectives on the basisof the TOPSIS (Technique for Order Preference by Similarity to Ideal Solu-tion). Then, using the closeness degrees, we convert the crisp multi-objectivelinear program into mono-objective program to solve. The proposed methodis not only mathematically rigorous, but also can adequately consider the ac-ceptance degree of decision maker that the fuzzy constraints may be violated.The other possible cases of the fuzzy multi-objective linear program are alsodiscussed. The proposed method is illustrated by means of a project portfolioselection problem.Sat, 08 Dec 2018 20:30:00 +0100(1801-4241) FIRST ORDER LINEAR FUZZY DYNAMIC EQUATIONS ON TIME SCALES
http://ijfs.usb.ac.ir/article_4317_0.html
In this paper, we study the concept of generalized differentiabilityfor fuzzy-valued functions on time scales. Using the derivative of the prod-uct of two functions, we provide solutions to rst order linear fuzzy dynamicequations. We present some examples to illustrate our results.Sun, 16 Dec 2018 20:30:00 +0100(1802-4300) THE SUGENO FUZZY INTEGRAL OF CONCAVE FUNCTIONS
http://ijfs.usb.ac.ir/article_4318_0.html
The fuzzy integrals are a kind of fuzzy measures acting on fuzzysets. They can be viewed as an average membership value of fuzzy sets. Thevalue of the fuzzy integral in a decision making environment where uncertaintyis present has been well established. Most of the integral inequalities studiedin the fuzzy integration context normally consider conditions such as mono-tonicity or comonotonicity. In this paper, we are trying to extend the fuzzyintegrals to the concept of concavity. It is shown that the Hermite-Hadamardintegral inequality for concave functions is not satised in the case of fuzzy in-tegrals. We propose upper and lower bounds on the fuzzy integral of concavefunctions. We present a geometric interpretation and some examples in theframework of the Lebesgue measure to illustrate the results.Sun, 16 Dec 2018 20:30:00 +0100(1704-3577) SCATTERED DATA APPROXIMATION OF FULLY FUZZY DATA BY QUASI-INTERPOLATION
http://ijfs.usb.ac.ir/article_4319_0.html
Fuzzy quasi-interpolations help to reduce the complexity of solvinga linear system of equations compared with fuzzy interpolations. Almost allfuzzy quasi-interpolations are focused on the form of ƒ˜* : R → F(R) or ƒ˜* :F(R) → R. In this paper, we intend to offer a novel fuzzy radial basis functionby the concept of source distance. Then, we will construct a fuzzy linearcombination of such basis functions in order to introduce a fully fuzzy quasiinterpolationin the form of ƒ˜* : F(R) → F(R). Also the error estimation of theproposed method is proved in terms of the fully fuzzy modulus of continuitywhich will be introduced in this paper. Finally some examples have been givento emphasize the acceptable accuracy of our method.Sun, 16 Dec 2018 20:30:00 +0100(1707-3778) A MODIFIED POSITION VALUE FOR COMMUNICATION SITUATIONS AND ITS FUZZIFICATION
http://ijfs.usb.ac.ir/article_4320_0.html
Myerson treated various situations of cooperation in the field ofcooperative games and proposed the communication structure. In this paper,we define and characterize an allocation rule in terms of the position value,called an average spanning tree solution, for communication situations by in-troducing a concept of cooperation relationship which says that two players aredeemed to possess this relationship if there is a communication path throughthem. Considering the fact that the extent to what players participate in acoalition may be partially restricted for uncertain possibilities, we construct agraph game in multilinear extension form and continue to explore the fuzzyaverage spanning tree solution on a framework of communication situationwith fuzzy coalition.Sun, 16 Dec 2018 20:30:00 +0100(1712-4127) MULTIPLE ATTRIBUTE DECISION MAKING WITH TRIANGULAR INTUITIONISTIC FUZZY NUMBERS ...
http://ijfs.usb.ac.ir/article_4321_0.html
For many decision problems with uncertainty, triangular intuitionisticfuzzy number is a useful tool in expressing ill-known quantities. Thispaper develops a novel decision method based on zero-sum game for multipleattribute decision making problems where the attribute values take the formof triangular intuitionistic fuzzy numbers and the attribute weights are unknown.First, a new value index is defined for triangular intuitionistic fuzzynumbers on the basis of the centroid. Thereby, a new ranking approach is presentedfor comparing triangular intuitionistic fuzzy numbers. We formulatea multiple attribute decision making problem as a two-person zero-sum gamewith payoffs of triangular intuitionistic fuzzy numbers. Then, following thenew ranking approach, the fuzzy matrix game is converted as a pair of crisplinear programming models, and the optimal strategies are objectively derivedby solving such models. Therefore, the ranking order of alternatives is determinedby the expected scores of alternatives. An example of video monitoringsystem selection is demonstrated to illustrate the effectiveness of the proposedmethodology.Sun, 16 Dec 2018 20:30:00 +0100(1710-3995) A BI-OBJECTIVE MODEL FOR A SCHEDULING PROBLEM OF UNRELATED PARALLEL BATCH ...
http://ijfs.usb.ac.ir/article_4322_0.html
This paper considers a bi-objective model for a scheduling problemof unrelated parallel batch processing machines to minimize the makespan andmaximum tardiness, simultaneously. Each job has a specic size and the datacorresponding to its ready time, due date and processing time-dependent machineare uncertain and determined by trapezoidal fuzzy numbers. Each machine hasa specific capacity, in which the number of jobs assigned to each batch on themachine does not violate the machine capacity. The batch processing time, thebatch ready time and the batch due date are presented by the longest processingtime, the longest ready time and the shortest due date of the jobs that belong tothe batch, respectively. To determine the longest and shortest time, the methodsuggested by Jimnez et al.[18] is used for ranking the fuzzy numbers. A bi-objective fuzzy mixed-integer linear programming model is proposed and solvedby two exact methods (i.e., two-phase fuzzy and -constraint) for small-sizedproblems to obtain a set of Pareto solutions. Because the problem belongs to theclass NP-hard, two meta-heuristics, namely fuzzy non-dominated sorting geneticalgorithm (FNSGA-II) and fuzzy multi-objective discrete teachinglearning-basedoptimization (FMODTLBO), are proposed. Then, the comparison of results isillustrated to show their performances. Furthermore, a new representation of thesolutions is a matrix with two rows and N columns (i.e., jobs) used to assign thejobs to the batches that processed on the machines.Sun, 16 Dec 2018 20:30:00 +0100(1804-4416) MIGRATIVITY EQUATIONS AND MAYOR'S AGGREGATION OPERATORS
http://ijfs.usb.ac.ir/article_4323_0.html
There has been a growing interest in the study of the notion of α-migrativity and generalizations in recent years, and it has been investigated forfamilies of certain operators such as t-norms, t-conorms, uninorms, nullnorms.This paper is mainly devoted to investigating the migrativity equations be-tween semi-t-operators or semi-uninorms, and Mayor's aggregation operators.The results that we obtain are complete and different from the known onesconcerning migrativity for t-norms, t-conorms, uninorms and nullnorms.Sun, 16 Dec 2018 20:30:00 +0100(1711-4101) FUZZY TRANSFERABLE-UTILITY GAMES: A WEIGHTED ALLOCATION AND RELATED RESULTS
http://ijfs.usb.ac.ir/article_4325_0.html
By considering the supreme-utilities among fuzzy sets and theweights among participants simultaneously, we introduce the supreme-weightedvalue on fuzzy transferable-utility games. Further, we provide some equivalentrelations to characterize the family of all solutions that admit a potentialon weights. We also propose the dividend approach to provide alternativeviewpoint for the potential approach. Based on these equivalent relations,several axiomatic results are also proposed to present the rationality for thesupreme-weighted value.Sat, 22 Dec 2018 20:30:00 +0100(1806-4503) A MODIFIED BRANCH AND BOUND ALGORITHM FOR A VAGUE FLOW-SHOP SCHEDULING PROBLEM
http://ijfs.usb.ac.ir/article_4335_0.html
Uncertainty plays a significant role in modeling and optimizationof real world systems. Among uncertain approaches, fuzziness describes im-preciseness while for ambiguity another definition is required. Vagueness is aprobabilistic model of uncertainty being helpful to include ambiguity into mod-eling different processes especially in industrial systems. In this paper, a vagueset based on distance is used to model a ow-shop scheduling problem being animportant problem in assembly production systems. The vagueness being usedas octagon numbers are employed to represent vague processes for the manu-facturing system. As a modeling effort, rst a ow-shop scheduling problem ishandled with vagueness. Then, for solving and analyzing the proposed vague ow-shop scheduling model, a modified Branch and Bound algorithm is pro-posed. As an implementation, an example is used to explain the performanceand to analyze the sensitivity of the proposed vague approach. The validity ofthe proposed model and modified algorithm is demonstrated through a robustranking technique. The outputs help the decision makers to counteract thevagueness and handle operational decisions in ow-shop scheduling problemswithin dynamic environments.Tue, 25 Dec 2018 20:30:00 +0100(1801-4213) ASYMPTOTIC ALGORITHM FOR COMPUTING THE SAMPLE VARIANCE OF INTERVAL DATA
http://ijfs.usb.ac.ir/article_4342_0.html
he problem of the sample variance computation for epistemic interval-valued data is, in general, NP-hard. There-fore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the sample variance in a feasible time is proposed. Conditions required for its application with finite samples are discussed and some properties of the algorithm are also given. It appears that our new algorithm could be effectively applied in definitely more situations than methods used so far.Fri, 28 Dec 2018 20:30:00 +0100(1709-3934) CORRELATION COEFFICIENTS OF LINGUISTIC INTERVAL HESITANT FUZZY SETS AND THEIR ...
http://ijfs.usb.ac.ir/article_4347_0.html
To address the hesitancy, inconsistency and uncertainty of deci-sion makers cognitions, linguistic interval hesitant fuzzy sets (LIHFSs) areeffcient tools. This paper focuses on studying the application of LIHFSs. Todo this, two correlation coeffcients of LIHFSs are defined, which needn't con-sider the length of elements in LIHFSs or the arrangement of their possibleinterval values. To address the situation where the weights of elements in aset are different and correlative, two linguistic interval hesitant fuzzy Shapleyweighted correlation coeffcients are defined. Considering the situation wherethe weight information of features/attributes is partly known, programmingmodels to determine the optimal fuzzy measures on them are constructed, re-spectively. After that, an approach to pattern recognition and multi-attributedecision making with linguistic interval hesitant fuzzy information is devel-oped, respectively. Meanwhile, illustrative examples about medical diagnosisand selecting constructors for tunnel bidding are selected to verify the appli-cation of new approaches, and comparison with a previous method is offered.Tue, 01 Jan 2019 20:30:00 +0100(1712-4126) INTERVAL-VALUED INTUITIONISTIC FUZZY AGGREGATION METHODOLOGY FOR DECISION MAKING ...
http://ijfs.usb.ac.ir/article_4348_0.html
Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalizationof fuzzy sets, is characterized by an interval-valued membership function, aninterval-valued non-membership function. The objective of this paper is todeal with criteria aggregation problems using IVIFSs where there exists a pri-oritization relationship over the criteria. Based on the Lukasiewicz triangularnorm, we first propose a prioritized arithmetic mean to IVIF multi-criteriadecision making (MCDM) problem where there is a linear ordering among thecriteria. The proposed aggregation operator overcomes the existing prioritizedaggregation operator's shortcomings that it is not monotone with respect tothe total order on interval-valued intuitionistic fuzzy values (IVIFVs). We al-so prove that it is bounded and monotone with respect to the total order onIVIFVs, and therefore is a true generalization of such operations. We finallypropose an aggregation operators-based two-step procedure to IVIF MCDMin the situation that more than one criteria exist at some priority level.Tue, 01 Jan 2019 20:30:00 +0100(1805-4469) DOPPLER AND BEARING TRACKING USING FUZZY ADAPTIVE UNSCENTED KALMAN FILTER
http://ijfs.usb.ac.ir/article_4379_0.html
The topic of Doppler and Bearing Tracking (DBT) problem isto achieve a target trajectory using the Doppler and Bearing measurements.The diffculty of DBT problem comes from the nonlinearity terms exposedin the measurement equations. Several techniques were studied to deal withthis topic, such as the unscented Kalman filter. Nevertheless, the performanceof the filter depends directly on the prior knowledge, involving the accuratemodel, sufficient information of the noise distribution and the suitable ini-tialization. To address these problems, in this paper, a new adaptive factortogether with a fuzzy logic system is proposed for online adjusting the processand the measurement noise covariance matrices simultaneously. In the coreof the proposed algorithm, the fault detection procedure is also adopted toreduce the computational time. The theoretical developments are investigatedby simulations, which indicate the effectiveness of the proposed lter in DBTproblem.Sat, 19 Jan 2019 20:30:00 +0100(1701-3411) DECENTRALIZED PROGNOSIS OF FUZZY DISCRETE-EVENT SYSTEMS
http://ijfs.usb.ac.ir/article_4380_0.html
This paper gives a decentralized approach to the problem of failureprognosis in the framework of fuzzy discrete event systems (FDES). A notionof co-predictability is formalized for decentralized prognosis of FDESs, whereseveral local agents with fuzzy observability rather than crisp observabilityare used in the prognosis task. An FDES is said to be co-predictable if eachfaulty event can be predicted prior to its occurrence by at least one local agentusing the observability of fuzzy events. The verification of the decentralizedpredictability is performed by constructing a fuzzy co-verifier from a givenFDES. The complexity of the fuzzy co-verifier is polynomial with respect tothe FDES being predicted, and is exponential with respect to the number ofthe local prognosis agents. Then, a necessary and sufficient condition for theco-predictability of FDESs is given. In addition, we show that the proposedmethod may be used to deal with the decentralized prognosis for both FDESsand crisp DESs. Finally, to illustrate the effectiveness of the approach, someexamples are provided.Sun, 20 Jan 2019 20:30:00 +0100(1802-4282) THE 2-ADDITIVE FUZZY CHOQUET INTEGRAL BASED-TODIM METHOD WITH IMPROVED SCORE ...
http://ijfs.usb.ac.ir/article_4381_0.html
Recently, the TODIM1(an acronym in Portuguese of interactive and multi-criteria decision making)method has attracted increasing attention and many researchers have extended it to deal with multiple attributedecision making (MADM) problems under different situations. However, none of them can be used to handleMADM problems with positive, independent, and negative interactions among attributes, which restricts theapplicability of TODIM method. Therefore, in this paper, we propose the 2-additive fuzzy Choquet integralbased-hesitant fuzzy TODIM method to deal with this situation. To begin with, we propose the novel measuredfunction to compare the magnitude of hesitant fuzzy elements, which has been proved to be more rational andefficient than existing approaches. Then we use nonlinear programming to obtain 2-additive fuzzy measuresand then put forward novel Choquet integral based-dominance degree to calculate the dominance degree ofone alternative over another under all attributes. Consequently, we then calculate the global value of eachalternative whereby we can rank all the alternatives. Finally, an illustrate example is used to demonstrate theefficiency and applicability of the proposed approach with sensitivity analysis.Sun, 20 Jan 2019 20:30:00 +0100(1711-4074) FUZZY UNIVERSAL ALGEBRAS ON L-SETS
http://ijfs.usb.ac.ir/article_4430_0.html
This paper attempts to generalize universal algebras on classicalsets to L-sets when L is a GL-quantale. Some basic notions of fuzzy universalalgebra on an L-set are introduced, such as subalgebra, quotient algebra,homomorphism, congruence, and direct product etc. The properties of themare studied. L-valued power algebra is also introduced and it is shown there isan onto homomorphism from P(A)/R+ to P(A/R) for any congruence R onL-set A.Mon, 11 Feb 2019 20:30:00 +0100(1802-4310) DEGREE OF F-IRRESOLUTE FUNCTION IN (L,M)-FUZZY TOPOLOGICAL SPACES
http://ijfs.usb.ac.ir/article_4431_0.html
In this paper, we present a new vision for studying F-open, F-continuous,and F-irresolute function in (L,M)-fuzzy topological spaces basedon the implication operation and (L,M)-fuzzy F-open operator [3]. Thesekinds of functions are generalized with their elementary properties to (L,M)-fuzzy topological spaces setting based on graded concepts. Moreover, a systematicdiscussion of their relationship with the degree of F-compactness, Fconnectedness,FT1, and FT2 is carried out.Mon, 11 Feb 2019 20:30:00 +0100(1801-4208) A COMPREHENSIVE EXPERIMENTAL COMPARISON OF THE AGGREGATION TECHNIQUES FOR FACE ...
http://ijfs.usb.ac.ir/article_4432_0.html
In face recognition, one of the most important problems to tackleis a large amount of data and the redundancy of information contained in facialimages. There are numerous approaches attempting to reduce this redundancy.One of them is information aggregation based on the results of classifiers builton selected facial areas being the most salient regions from the point of viewof classification both by humans and computers. In this study, we report ona series of experiments and offer a comprehensive comparison between variousmethods of aggregation of outputs of these classifiers based on essential facialfeatures such as eyebrows, eyes, nose, and mouth areas. For each of them, wecarry the recognition process utilizing the well-known Fisherfaces transforma-tion. During the comparisons of the vectors representing the features of images(faces) after the transformations, we consider 16 similarity=dissimilarity mea-sures for which we select the best aggregation operator. The set of operatorsto compare was selected on a basis of the comprehensive literature reviewregarding aggregation functions.Mon, 11 Feb 2019 20:30:00 +0100(1702-3490) 2-TUPLE INTUITIONISTIC LINGUISTIC AGGREGATION OPERATORS IN MULTIPLE ATTRIBUTE ...
http://ijfs.usb.ac.ir/article_4441_0.html
In this paper, we investigate the multiple attribute decision making (MADM) problems with 2-tuple intuitionistic linguistic information. Then, we utilize arithmetic and geometric operations to develop some 2-tuple intuitionistic linguistic aggregation operators. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the 2-tuple intuitionistic linguistic MADM problems. Finally, a practical example for enterprise resource planning (ERP) system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.Fri, 15 Feb 2019 20:30:00 +0100(1711-4068) A RESEARCH ON CLASSIFICATION PERFORMANCE OF FUZZY CLASSIFIERS BASED ON FUZZY SET THEORY
http://ijfs.usb.ac.ir/article_4442_0.html
Due to the complexities of objects and the vagueness of the human mind, it hasattracted considerable attention from researchers studying fuzzy classification algorithms.In this paper, we propose a concept of fuzzy relative entropy to measure the divergencebetween two fuzzy sets. Applying fuzzy relative entropy, we prove the conclusion thatpatterns with high fuzziness are close to the classification boundary. Thus, it plays a greatrole in classification problems that patterns with high fuzziness are classified correctly.Meanwhile, we draw a conclusion that the fuzziness of a pattern and the uncertainty of itsclass label are equivalent. As is well known, entropy not only measures the uncertaintyof random variable, but also represents the amount of information carried by the variable.Hence, a fuzzy classifier with high fuzziness would carry much information about trainingset. Therefore, in addition to some assessment criteria such as classification accuracy, wecould study the classification performance from the perspective of the fuzziness of clas-sifier. In order to try to ensure the objectivity in dealing with unseen patterns, we shouldmake full use of information of the known pattern set and do not make too much subjectiveassumptions in the process of learning. Consequently, for problems with rather complexdecision boundaries especially, under the condition that a certain training accuracy thresh-old is maintained, we demonstrate that a fuzzy classifier with high fuzziness would have awell generalization performance.Fri, 15 Feb 2019 20:30:00 +0100(1801-4185) HORIZONTAL REPRESENTATION OF A HESITANT FUZZY SET AND ITS APPLICATION TO MULTIPLE ...
http://ijfs.usb.ac.ir/article_4443_0.html
The main aim of this paper is to present a novel method for rank-ing hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets(FSs). The idea behind the method is an interesting HFS decomposition whichis referred here to as the horizontal representation in the current study. Toshow the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making problem under hesitant fuzzy environment. Inter-estingly, the results show that the proposed method gives the most acceptedprecedence of alternatives in comparison with the other existing methods.Sat, 16 Feb 2019 20:30:00 +0100(1803-4326) 0A NOTE ON \DECISION MAKING IN MEDICAL INVESTIGATIONS USING NEW DIVERGENCE MEASURES ...
http://ijfs.usb.ac.ir/article_4444_0.html
Srivastava and Maheshwari (Iranian Journal of Fuzzy Systems13(1) (2016) 25-44) introduced a new divergence measure for intuitionisticfuzzy sets (IFSs). The properties of the proposed divergence measure werestudied and the e±ciency of the proposed divergence measure in the contextof medical diagnosis was also demonstrated. In this note, we point out someerrors in the proving process of two properties of the proposed divergencemeasure. Then we give a modification of the proving process.Sat, 16 Feb 2019 20:30:00 +0100(1706-3727) SYSTEMATIC LITERATURE REVIEW OF FUZZY LOGIC BASED TEXT SUMMARIZATION
http://ijfs.usb.ac.ir/article_4451_0.html
`Information Overload'is not a new term but with the massive developmentin technology which enables anytime, anywhere, easy and unlimitedaccess; participation & publishing of information has consequently escalatedits impact. Assisting users`informational searches with reduced reading surfingtime by extracting and evaluating accurate, authentic & relevant informationare the primary concerns in the present milieu. Automatic text summarizationis the process of condensing an original document into shorter form tocreate smaller, compact version from the abundant information that is available,preserving the content & meaning such that it meets the needs of theuser. Though many summarization techniques have been proposed but thereare no `silver bullets'to achieve the superlative results as of human generatedsummaries. Thus, the domain of text summarization is an active and dynamicfield of study, practice & research with the continuous need to expound noveltechniques for achieving comparable & effectual results. Fuzzy logic has appearedas a powerful theoretical framework for studying human reasoning andits application has been explored within the domain of text summarizationin the past few years. This paper is a systematic literature review to gather,analyze, and report the trends, gaps and prospects of using fuzzy logic forautomatic text summarization on the basis of the findings in original studies.Sat, 23 Feb 2019 20:30:00 +0100