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. 15, no. 6, December 2018
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Fri, 30 Nov 2018 20:30:00 +0100UNCERTAINTY DATA CREATING INTERVAL-VALUED FUZZY RELATION IN DECISION MAKING MODEL WITH GENERAL ...
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The paper introduces a new approach to preference structure, where from a weak preference relation derive the following relations:strict preference, indifference and incomparability, which by aggregations and negations are created and examined. We decomposing a preference relation into a strict preference, anindifference, and an incomparability relation.This approach allows one to quantify different types of uncertainty in selecting alternatives.In presented preference structure we use interval-valued fuzzy relations, which can be interpreted as a tool that may help to model in a better way imperfect information, especially under imperfectlydefined facts and imprecise knowledge.Preference structures are of great interest nowadays because of their applications, so we propose at the end the algorithm of decision making by use new preference structure.Sat, 29 Dec 2018 20:30:00 +0100INTUITIONISTIC FUZZY DIMENSIONAL ANALYSIS FOR MULTI-CRITERIA DECISION MAKING
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Dimensional analysis, for multi-criteria decision making, is a mathematical method that includes diverse heterogeneous criteria into a single dimensionless index. Dimensional Analysis, in its current definition, presents the drawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we propose two dimensional analysis based techniques under intuitionistic fuzzy environments. By the arithmetic operations of intuitionistic fuzzy numbers, we describe the intuitionistic fuzzy dimensional analysis (IFDA) and the aggregated intuitionistic fuzzy dimensional (AIFDA) techniques. In the first technique, we consider only the handling of fuzzy information; and, in the second one we consider both quantitative (crisp) and qualitative (fuzzy) information typically presented together in a decision making problem. To illustrate our approaches, we present some numerical examples and perform some comparisons with other well-known techniques.Sat, 29 Dec 2018 20:30:00 +0100ON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS
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In order to more effectively cope with the real world problems of vagueness, imprecise and subjectivity, fuzzy event systems were proposed recently. In this paper, we investigate the controllability and the observability property of two systems that one of them has fuzzy variables and the other one has fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficient conditions for the controllability and the observability of such systems are established. Some examples are given to substantiate the results obtained.Sat, 29 Dec 2018 20:30:00 +0100MAN-MACHINE INTERACTION SYSTEM FOR SUBJECT INDEPENDENT SIGN LANGUAGE RECOGNITION USING FUZZY ...
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Sign language recognition has spawned more and more interest in human–computer interaction society. The major challenge that SLR recognition faces now is developing methods that will scale well with increasing vocabulary size with a limited set of training data for the signer independent application. The automatic SLR based on hidden Markov models (HMMs) is very sensitive to gesture's shape information that makes the accurate parameters of the HMM not capable of characterizing the ambiguous distributions of the observations in gesture's features. This paper presents an extension of the HMMs using interval type-2 fuzzy sets (IT2FSs) to produce interval type-2 fuzzy HMMs to model uncertainties of hypothesis spaces (unknown varieties of parameters of the decision function). The benefit of this enlargement is that it can control both the randomness and fuzziness of traditional HMM mapping. Membership function (MF) of type-2 FS is three-dimensional that provides additional degrees of freedom to evaluate HMM's uncertainties. This system aspires to be a solution to the scalability problem, i.e. has real potential for application on a large vocabulary. Furthermore, it does not rely on the use of data gloves or other means as input devices, and operates in isolated signer-independent modes. Experimental results show that the interval type-2 fuzzy HMM has a comparable performance as that of the fuzzy HMM but is more robust to the gesture variation, while it retains almost the same computational complexity as that of the FHMM.Sat, 29 Dec 2018 20:30:00 +0100THE CHAIN PROPERTIES AND LI-YORKE SENSITIVITY OF ZADEH'S EXTENSION ON THE SPACE OF UPPER ...
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Some characterizations on the chain recurrence, chain transitivity, chain mixing property,shadowing and $h$-shadowing for Zadeh's extension are obtained. Besides, it is provedthat a dynamical system is spatiotemporally chaotic provided that the Zadeh's extensionis Li-Yorke sensitive.Sat, 29 Dec 2018 20:30:00 +0100FUZZY LOGISTIC REGRESSION BASED ON LEAST SQUARE APPROACH AND TRAPEZOIDAL MEMBERSHIP FUNCTION
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Logistic regression is a non-linear modification of the linearregression. The purpose of the logistic regression analysis is tomeasure the effects of multiple explanatory variables which can becontinuous and response variable is categorical. In real life there aresituations which we deal with information that is vague innature and there are cases that are not explainedprecisely. In this regard, we have used the concept of possiblisticodds and fuzzy approach. Fuzzy logic deals with linguisticuncertainties and extracting valuable information from linguisticterms. In our study, we have developed fuzzy possiblistic logisticmodel with trapezoidal membership function and fuzzy possiblisticlogistic model is a tool that help us to deal with impreciseobservations. Comparison fuzzy logistic regression model with classicallogistic regression has been done by goodness of fit criteria on real life as an example.Sat, 29 Dec 2018 20:30:00 +0100INCOMPLETE INTERVAL-VALUED HESITANT FUZZY PREFERENCE RELATIONS IN DECISION MAKING
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In this article, we propose a method to deal with incomplete interval-valuedhesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzypreference relations is formulated which assists in estimating missingpreferences. First of all, we introduce a condition for decision makersproviding incomplete information. Decision makers expressing incomplete dataare expected to abide by the proposed condition. This ensures that theestimated preferences are well-defined intervals which otherwise may not bepossible. Additionally, this condition eliminates the problem of outlyingestimated preferences. After resolving the issue of incompleteness, thisarticle proposes a ranking rule for reciprocal and non-reciprocalinterval-valued hesitant fuzzy preference relations.Sat, 29 Dec 2018 20:30:00 +0100SINGLE MACHINE DUE DATE ASSIGNMENT SCHEDULING PROBLEM WITH PRECEDENCE CONSTRAINTS AND ...
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In this paper, a due date assignment scheduling problem with precedence constraints and controllable processing times in uncertain environment is investigated, in which the basic processing time of each job is assumed to be the symmetric trapezoidal fuzzy number, and the linear resource consumption function is used.The objective is to minimize the crisp possibilistic mean (or expected) value of a cost function thatincludes the costs of earliness, tardiness, makespan and resource consumption jointly by scheduling the jobs under precedence constraints and determining the due date and the resource allocation amount satisfying resource constraints for each job. First, the problem is shown to be NP-hard. Furthermore, an optimal algorithm with polynomial time for the special case of this problem is put forward. Moreover, an efficient 2-approximation algorithm is presented based on solving the relaxation of the problem. Finally, the numerical experiment is given, whose results show that our method is promising.Sat, 29 Dec 2018 20:30:00 +0100ON TOPOLOGICAL EQ-ALGEBRAS
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In this paper, by using a special family of filters $mathcal{F}$ on an EQ-algebra $E$, we construct a topology $mathcal{T}_{mathcal{mathcal{F}}}$ on $E$ and show that $(E,mathcal{T}_{mathcal{F}})$ is a topological EQ-algebra. First of all, we give some properties of topological EQ-algebras and investigate the interaction of topological EQ-algebras and quotient topological EQ-algebras. Then we obtain the form of closure of each subset and show that $(E,mathcal{T}_{mathcal{F}})$ is a zero-dimensional space. Finally, we introduce the concept of convergence of sequences on topological EQ-algebras and give a condition under which the limit of a sequence is unique.Sat, 29 Dec 2018 20:30:00 +0100M-FUZZIFYING TOPOLOGICAL CONVEX SPACES
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The main purpose of this paper is to introduce the compatibility of $M$-fuzzifying topologies and $M$-fuzzifying convexities, define an $M$-fuzzifying topological convex space, and give a method to generate an $M$-fuzzifying topological convex space. Some characterizations of $M$-fuzzifying topological convex spaces are presented. Finally, the notion of $M$-fuzzifying weak topologies is obtained from $M$-fuzzifying topological convex spaces.Sat, 29 Dec 2018 20:30:00 +0100Persian-translation vol. 15, no. 6, December 2018
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Sat, 29 Dec 2018 20:30:00 +0100(1703-3531) SEPARABLE PROGRAMMING PROBLEMS WITH THE MAX-PRODUCT FUZZY RELATION EQUATION CONSTRAINTS
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In this paper, the separable programming problem subject toFuzzy Relation Equation (FRE) constraints is studied. It is decomposed to twosubproblems with decreasing and increasing objective functions with the sameconstraints. They are solved by the maximum solution and one of minimalsolutions of its feasible domain, respectively. Their combination produces theoriginal optimal solution. The detection of the optimal solution of the secondsubproblem by finding all the minimal solutions will be very time-consumingbecause of its NP-hardness. To overcome such difficulty, two types of sufficientconditions are proposed to find some of its optimal components or all of them.Under the first type sufficient conditions, some procedures are given to sim-plify the original problem. Also, a value matrix is defined and an algorithmis proposed to compute an initial upper bound on its optimal objective valueusing the matrix. Then, a branch-and-bound method is extended using thematrix and initial upper bound to solve the simplified problem without findingall the minimal solutions.Tue, 03 Apr 2018 19:30:00 +0100(1705-3706) L-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 constructiveand axiomatic approaches.Tue, 03 Apr 2018 19:30:00 +0100(1707-3814) ON GENERALIZED FUZZY NUMBERS
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This paper first improves Chen and Hsieh's definition of general-ized fuzzy numbers, which makes it the generalization of definition of fuzzynumbers. Secondly, in terms of the generalized fuzzy numbers set, we introducetwo different kinds of orders and arithmetic operations and metrics based onthe λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzynumbers are integrated into a partial ordering set, a semi-ring and a com-plete non-separable metric space. Again, through two isomorphism theorem,the relationship between generalized fuzzy number space and fuzzy numberspace is established. Finally, as an application of generalized fuzzy numbers,the concept of continuous generalized fuzzy number-valued functions is intro-duced. And it is pointed out that many results of trapezoidal generalized fuzzynumbers can also be extended to generalized fuzzy numbers.Mon, 09 Apr 2018 19:30:00 +0100(1706-3746) MULTIMODAL MEDICAL IMAGE FUSION BASED ON YAGER'S INTUITIONISTIC FUZZY SETS
http://ijfs.usb.ac.ir/article_3778_0.html
The objective of image fusion for medical images is to combinemultiple images obtained from various sources into a single image suitablefor better diagnosis. Most of the state-of-the-art image fusing technique isbased on non-fuzzy sets, and the fused image so obtained lags with comple-mentary information. Intuitionistic fuzzy sets (IFS) are determined to bemore suitable for civilian, and medical image processing as more uncertaintiesare considered compared with fuzzy set theory. In this paper, an algorithmfor effectively fusing multimodal medical images is presented. In the proposedmethod, images are initially converted into Yager's intuitionistic fuzzy comple-ment images (YIFCIs), and a new objective function called intuitionistic fuzzyentropy (IFE) is employed to obtain the optimum value of the parameter inmembership and non-membership functions. Next, the YIFCIs are comparedusing contrast visibility (CV) to construct a decision map (DM). DM is re-fined with consistency verification to create a fused image. Simulations onseveral pairs of multimodal medical images are performed and compared withthe existing fusion methods, such as simple average, discrete cosine transform(DCT), redundant wavelet transform (RWT), intuitionistic fuzzy set, fuzzytransform and interval-valued intuitionistic fuzzy set (IVIFS). The superior-ity of the proposed method is presented and is justified. Fused image qualityis 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).Sat, 14 Apr 2018 19:30:00 +0100(1702-3501) COVERINGS, MATCHINGS AND PAIRED DOMINATION IN FUZZY GRAPHS USING STRONG ARCS
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The concepts of covering and matching in fuzzy graphs usingstrong arcs are introduced and obtained the relationship between them anal-ogous to Gallai's results in graphs. The notion of paired domination in fuzzygraphs using strong arcs is also studied. The strong paired domination number γspr of complete fuzzy graph and complete bipartite fuzzy graph is determinedand obtained bounds for the strong paired domination number of fuzzy graphs.An upper bound for the strong paired domination number of fuzzy graphs interms of strong independence number is also obtained.Sun, 22 Apr 2018 19:30:00 +0100(1707-3808) SOME IMPROVEMENTS IN FUZZY TURING MACHINES
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In this paper, we improve some previous definitions of fuzzy-typeTuring machines to obtain degrees of accepting and rejecting in a computa-tional manner. We apply a BFS-based search method and some level's upperbounds to propose a computational process in calculating degrees of acceptingand rejecting. Next, we introduce the class of Extended Fuzzy Turing Machinesequipped with indeterminacy states. These states are used to characterize theloops of classical Turing machines in a mathematical sense. In the sequel, aswell as the notions of acceptable and decidable languages, we define the newnotion of indeterminable language. An indeterminable language correspondsto non-halting runs of a machine. Afterwards, we show that there is not anyuniversal extended machine; which concludes that these machines cannot solvethe halting problem. Also, we show that our extended machines and classicalTuring machines have the same computational power. Then, we dene thenew notion of semi-universality and prove that there exists a semi-universalextended machine. This machine can indeterminate the complement of classi-cal halting problem. Moreover, to each r.e or co-r.e language, we corresponda language that is related to some extended fuzzy Turing machines.Fri, 27 Apr 2018 19:30:00 +0100(1612-3364) CATEGORY AND SUBCATEGORIES OF (L;M)-FUZZY CONVEX SPACES
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In this paper, (L;M)-fuzzy domain finiteness and (L;M)-fuzzyrestricted 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 weaklyinduced convex spaces, are coreflective subcategories of (L;M)-CS. It is alsoproved that three isomorphic categories, namely, the category M-CS of M-fuzzifying convex spaces, the category (L;M)-CGCS of (L;M)-fuzzy convexspaces induced by M-fuzzifying convex spaces and the category (L;M)-ICSof (L;M)-fuzzy induced convex spaces, are coreflective subcategories of both(L;M)-SCS and (L;M)-WICS.Sat, 28 Apr 2018 19:30:00 +0100(1705-3699) GENERALIZED STATES ON EQ-ALGEBRAS
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In this paper, we introduce a notion of generalized states from an $EQ$-algebra $Lom_1$ to another $EQ$-algebra $Lom_2$, which is a generalization of internal states (or state operators) on an $EQ$-algebra $Lom$. Also we give a type of special generalized state from an $EQ$-algebra $Lom_1$ to $Lom_1$, 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 $Lom$ is a G-state from $Lom$ to the $EQ$-algebra $Lom_0=([0,1],wedge_0,odot_0,sim_0,1)$. (2) Every state operator $mu$ satisfying $mu(x)odotmu(y)in mu(Lom)$ on a good $EQ$-algebra $Lom$ is a GI-state on $Lom$. (3) Every state operator $tau$ on a residuated lattice $(L,wedge,vee,odot,rightarrow,0,1)$ can be seen a GI-state on the $EQ$-algebra $(L,wedge,odot,sim,1)$, where $xsim y:=(xrightarrow y)wedge(yrightarrow x)$. (4) Every GI-state $sigma$ on a good $EQ$-algebra $(L,wedge,odot,sim,1)$ is a internal state on equality algebra $(L,wedge,sim,1)$. (5) Every GI-state $sigma$ on a good $EQ$-algebra $(L,wedge,odot,sim,1)$ is a left state operator on BCK-algebra $(L,wedge,rightarrow,1)$, where $xrightarrow y=xsim xwedge y$.Sun, 29 Apr 2018 19:30:00 +0100(1702-3453) A COMPARATIVE PERFORMANCE OF GRAY LEVEL IMAGE THRESHOLDING USING NORMALIZED GRAPH ...
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In this research paper, we use a normalized graph cut measureas a thresholding principle to separate an object from the background basedon the standard S membership function. The implementation of the proposedalgorithm known as fuzzy normalized graph cut method. This proposed algo-rithm 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 segmentationprocess of gray images. Finally, we change different parameter values in fuzzynormalized graph cut and the effect of the substitutes is studied. Also, weanalyze the computational complexity of fuzzy weight matrix (fuzzification)results with a weight matrix (classical) results.Fri, 04 May 2018 19:30:00 +0100(1610-3252) RESTRICTED CASCADE AND WREATH PRODUCTS OF FUZZY FINITE SWITCHBOARD STATE MACHINES
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A finite switchboard state machine is a specialized finite statemachine. It is built by binding the concepts of switching state machines andcommutative state machines. The main purpose of this paper is to give a spe-cific algorithm for fuzzy finite switchboard state machine and also, investigatesthe concepts of switching relation, covering, restricted cascade products andwreath products of fuzzy finite switchboard state machines. More precisely, westudy that the direct products/Cartesian compositions of two such fuzzy niteswitchboard state machines is again a fuzzy finite switchboard state machine.In addition, we introduce the perfect switchboard machine and establish itsCartesian composition. The relations among the products also been examined.Finally, we introduce asynchronous fuzzy finite switchboard state machine andstudy the switching homomorphic image of asynchronous fuzzy finite switch-board state machine. We illustrate the denition of a restricted product offuzzy finite switchboard state machine with the single pattern example.Sat, 19 May 2018 19:30:00 +0100(1707-3833) MULTIOBJECTIVE SECURITY GAME WITH FUZZY PAYOFFS
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A multiobjective security game problem with fuzzy payoffs is stud-ied in this paper. The problem is formulated as a bilevel programming prob-lem with fuzzy coefficients. Using the idea of nearest interval approximation offuzzy numbers, the problem is transformed into a bilevel programming prob-lem with interval coefficients. The Karush-Kuhn-Tucker conditions is appliedthen 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 areillustrated by a practical example.Sat, 19 May 2018 19:30:00 +0100(1708-3883) A 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 familyσL(X) of all Scott continuous mappings from X to L is a complete latticeunder pointwise order, we call it the L-fuzzy Scott structure on X. Let Ebe a dcpo. A mapping g : σL(E) → M is called an LM-fuzzy possibilityvaluation of E if it preserves arbitrary unions. Denote by ∏LM(E) the set ofall LM-fuzzy possibility valuations of E. The denotational semantics assigningto an LM-fuzzy possibility computation from a dcpo D to another one E isa Scott continuous mapping from D to ∏LM(E), which is a model of nondeterminismcomputation in Domain Theory. A healthy LM-fuzzy predicatetransformer from D to E is a sup-preserving mapping from L(E) to M(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 itsLM-fuzzy logical semantics.Fri, 25 May 2018 19:30:00 +0100(1709-3928) MULTIPLE ATTRIBUTE GROUP DECISION MAKING WITH LINGUISTIC VARIABLES AND COMPLETE ...
http://ijfs.usb.ac.ir/article_3942_0.html
Interval type-2 fuzzy sets, each of which is characterized by thefootprint of uncertainty, are a very useful means to depict the linguistic in-formation in the process of decision making. In this article, we investigatethe group decision making problems in which all the linguistic informationprovided by the decision makers is expressed as interval type-2 fuzzy decisionmatrices where each of the elements is characterized by interval type-2 fuzzyset, and the information about attribute weights is completely unknown. Wefirst introduce the average centroid matrix of the interval type-2 fuzzy deci-sion matrix, and then utilize the interval type-2 fuzzy averaging operator toaggregate all individual interval type-2 fuzzy decision matrices into a collectiveinterval type-2 fuzzy decision matrix. Based on the average centroid matrixof the collective interval type-2 fuzzy decision matrix and information theory,we develop an optimization model by which a straightforward formula for de-riving attribute weights can be obtained. Furthermore, based on the intervaltype-2 fuzzy averaging operator, we utilize the average centroid measure togive an approach to ranking the given alternatives and then selecting the mostdesirable one(s). Finally, we give an illustrative example.Sat, 16 Jun 2018 19:30:00 +0100(1801-4201) A KIND OF FUZZY UPPER TOPOLOGY ON L-PREORDERED SETS
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Considering a commutative unital quantale L as the truth valuetable and using the tool of L-generalized convergence structures of stratifiedL-filters, this paper introduces a kind of fuzzy upper topology, called fuzzyS-upper topology, on L-preordered sets. It is shown that every fuzzy joinpreservingL-subset is open in this topology. When L is a complete Heytingalgebra, for every completely distributive L-ordered set, the fuzzy S-uppertopology has a special base such that it looks like the usual upper topology onthe set of real numbers. For every complete L-ordered set, the fuzzy S-uppertopology coincides the fuzzy Scott topology.Sat, 16 Jun 2018 19:30:00 +0100(1605-2926) A NOVEL PARAMETRIC RANKING METHOD FOR INTUITIONISTIC FUZZY NUMBERS
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Since the inception of intuitionistic fuzzy sets in 1986, many au-thors have proposed different methods for ranking intuitionistic fuzzy numbers(IFNs). However, due to the complexity of the problem, a method which givesa satisfactory result to all situations is a challenging task. Most of them con-tained some shortcomings, such as requirement of complicated calculations,inconsistency with human intuition and indiscrimination and some producedifferent rankings for the same situation and some methods cannot rank crispnumbers. For overcoming the above problems, in this paper, a new parametricranking method for IFNs is proposed. It is developed based on the concept-cuts and cut and area on left side of IFNs. The proposed ranking method isapplied to solve partner selection problem in which the rating of partner on at-tributes are expressed by using triangular IFNs. The proposed method is muchsimpler and more effcient than other methods in the literature. Some com-parative examples are also given to illustrate the advantages of the proposedmethod.Sun, 17 Jun 2018 19:30:00 +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 ...
http://ijfs.usb.ac.ir/article_4103_0.html
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 ...
http://ijfs.usb.ac.ir/article_4108_0.html
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
http://ijfs.usb.ac.ir/article_4134_0.html
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 ...
http://ijfs.usb.ac.ir/article_4135_0.html
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
http://ijfs.usb.ac.ir/article_4138_0.html
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
http://ijfs.usb.ac.ir/article_4139_0.html
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 ...
http://ijfs.usb.ac.ir/article_4140_0.html
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 ...
http://ijfs.usb.ac.ir/article_4175_0.html
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