Iranian Journal of Fuzzy SystemsIranian Journal of Fuzzy Systems
http://ijfs.usb.ac.ir/
Sun, 18 Nov 2018 12:18:37 +0100FeedCreatorIranian Journal of Fuzzy Systems
http://ijfs.usb.ac.ir/
Feed provided by Iranian Journal of Fuzzy Systems. Click to visit.Cover vol. 15, no. 5, October 2018
http://ijfs.usb.ac.ir/article_4160_509.html
Sun, 30 Sep 2018 20:30:00 +0100ASSOCIATED PROBABILITY INTUITIONISTIC FUZZY WEIGHTED OPERATORS IN BUSINESS START-UP DECISION MAKING
http://ijfs.usb.ac.ir/article_4156_509.html
In the study, we propose the Associated Probability Intuitionistic Fuzzy Weighted Averaging (As-P-IFWA) and the Associated Probability Intuitionistic Fuzzy Weighted Geometric (As-P-IFWG) aggregation operators with associated probabilities of a fuzzy measure presenting an uncertainty. Decision makers' evaluations are given as intuitionistic fuzzy values and are used as the arguments of the aggregation operators. In the paper, we prove correctness of extensions and show the conjugate connections between the constructed operators. Several versions of the new operators are successfully used in the business start-up decision making problem.Mon, 29 Oct 2018 20:30:00 +0100OPTIMAL STATISTICAL TESTS BASED ON FUZZY RANDOM VARIABLES
http://ijfs.usb.ac.ir/article_4157_509.html
A novel approach is proposed for the problem of testing statistical hypotheses about the fuzzy mean of a fuzzy random variable.The concept of the (uniformly) most powerful test is extended to the (uniformly) most powerful fuzzy-valued test in which the test function is a fuzzy set representing the degrees of rejection and acceptance of the hypothesis of interest.For this purpose, the concepts of fuzzy test statistic and fuzzy critical value have been defined using the $alpha$ cuts (levels) of the fuzzy observations and fuzzy parameter.In order to make a decision as a fuzzy test, a well-known method is employed to compare the observed fuzzy test statistic and the fuzzy critical value.In this work, we focus on the case in which the fuzzy data are observations of a normal fuzzy random variable.The proposed approach is general so that it can be applied to other kinds of fuzzy random variables as well.Numerical examples, including a lifetime testing problem, are provided to illustrate the proposed optimal tests.Mon, 29 Oct 2018 20:30:00 +0100DISTURBANCE REJECTION IN NONLINEAR SYSTEMS USING NEURO-FUZZY MODEL
http://ijfs.usb.ac.ir/article_4158_509.html
The problem of disturbance rejection in the control of nonlinear systems with additive disturbance generated by some unforced nonlinear systems, was formulated and solved by {itshape Mukhopadhyay} and {itshape Narendra}, they applied the idea of increasing the order of the system, using neural networks the model of multilayer perceptron on several systems of varying complexity, so the objective of this work is using the same idea with two other recent methods fast and reliable ; fuzzy set systems and hybrid neuro-fuzzy systems respectively to compute the control law which minimizes the effect of the disturbance at the output of nonlinear systems. The application of the methods previously cited in form of results is presented to determine the identification model and to provide theoretical justification to existence a solution of disturbance rejection. Our better results with fuzzy systems and neuro-fuzzy systems are presented and discussed in detail in this paper with several systems of increasing complexity.Mon, 29 Oct 2018 20:30:00 +0100A NOVEL TRIANGULAR INTERVAL TYPE-2 INTUITIONISTIC FUZZY SETS AND THEIR AGGREGATION OPERATORS
http://ijfs.usb.ac.ir/article_4159_509.html
The objective of this work is to present a triangular interval type-2 (TIT2) intuitionistic fuzzy sets and their corresponding aggregation operators, namely, TIT2 intuitionistic fuzzy weighted averaging, TIT2 intuitionistic fuzzy ordered weighted averaging and TIT2 intuitionistic fuzzy hybrid averaging based on Frank norm operation laws. Furthermore, based on these operators, an approach to multi-criteria decision-making, in which assessments are in the form of TIT2 intuitionistic fuzzy numbers has been developed. A practical example to illustrate the decision-making process has been presented and compared their results with the existing operator results.Mon, 29 Oct 2018 20:30:00 +0100PROPERTY ANALYSIS OF TRIPLE IMPLICATION METHOD FOR APPROXIMATE REASONING ON ATANASSOVS ...
http://ijfs.usb.ac.ir/article_4161_509.html
Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitionistic fuzzy modus ponens has both continuity and approximation property with respect to these two kinds of natural distances based on {L}ukasiewicz implication, meanwhile the triple implication method for intuitionistic fuzzy modus tollens possesses unconditional continuity and conditional approximation property. Finally, some robustness results about the triple implication method of intuitionistic fuzzy reasoning are given.Mon, 29 Oct 2018 20:30:00 +0100REDUCTION OF INVERTER OUTPUT CURRENT RIPPLE IN CONNECTION OF FUEL CELL TO THE POWER NETWORK
http://ijfs.usb.ac.ir/article_4162_509.html
In this paper, a method is introduced which reduces the harmonicdistortion of the inverter output current, connecting the fuelcell to the AC load. Using FUZZY LOGIC-PI (FLPI), the controllingmethod is engaged in optimum tuning of the PI controllercoefficients of this converter. This converter has only one DC-ACboost inverter and simultaneously has the task of increasingvoltage level and generating the AC power. In order to control theinverter output voltage, an internal current control loop and anexternal voltage control loop are used. Designing the control ofeach loop is done separately based on FLPI controller. Simulationresults for proposed fuel cell energy system in the presence ofthis controller imply good performance of FLPI and suitablemitigation of inverter output current ripple.Mon, 29 Oct 2018 20:30:00 +0100ADAPTIVE BACKSTEPPING CONTROL OF UNCERTAIN FRACTIONAL ORDER SYSTEMS BY FUZZY APPROXIMATION APPROACH
http://ijfs.usb.ac.ir/article_4164_509.html
In this paper, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic systems are used to approximate the unknown nonlinear functions. A fractional order Lyapunov function is defined at each stage and the negativity of an overall Lyapunov function is ensured by proper selection of the control law. It is proven that the proposed controller guarantees the boundedness property for all the signals and also the tracking error can converge to a small neighborhood of the origin. Simulation examples are given to demonstrate the effectiveness and robustness of the proposed controllers.Mon, 29 Oct 2018 20:30:00 +0100HESITANT FUZZY INFORMATION MEASURES DERIVED FROM T-NORMS AND S-NORMS
http://ijfs.usb.ac.ir/article_4165_509.html
In this contribution, we first introduce the concept of metrical T-norm-based similarity measure for hesitant fuzzy sets (HFSs) {by using the concept of T-norm-based distance measure}. Then,the relationship of the proposed {metrical T-norm-based} similarity {measures} with the {other kind of information measure, called the metrical T-norm-based} entropy measure {is} discussed. The main feature of the proposed { metrical T-norm-based similarity measures} is a possibility of comparing {similarity between HFSs} without regarding what {value is returned by} the similarity measure.{To illustrate the application of the proposed metrical T-norm-based similarity measures, we consider two problems of} medical diagnosis {and pattern recognition} to compare the proposed {metrical T-norm-based similarity measures} with a number of {the} existing HFS similarity measures.Mon, 29 Oct 2018 20:30:00 +0100Persian-translation vol. 15, no. 5, October 2018
http://ijfs.usb.ac.ir/article_4166_509.html
Sun, 30 Sep 2018 20:30:00 +0100FUZZY LOGISTIC DIFFERENCE EQUATION
http://ijfs.usb.ac.ir/article_3066_0.html
In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= beta x_n(1- x_n), n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and global behavior of the solutions for two corresponding equations, using the concept of Hukuhara difference for fuzzy numbers. Finally, some examples are given to illustrate our results.Fri, 03 Mar 2017 20:30:00 +0100TREND-CYCLE ESTIMATION USING FUZZY TRANSFORM OF HIGHER DEGREE
http://ijfs.usb.ac.ir/article_3067_0.html
In this paper, we provide theoretical justification for the application of higher degree fuzzy transform in time series analysis. Under the assumption that a time series can be additively decomposed into a trend-cycle, a seasonal component and a random noise, we demonstrate that the higher degree fuzzy transform technique can be used for the estimation of the trend-cycle, which is one of the basic tasks in time series analysis. We prove that high frequencies appearing in the seasonal component can be arbitrarily suppressed and that random noise, as a stationary process, can be successfully decreased using the fuzzy transform of higher degree with a reasonable adjustment of parameters of a generalized uniform fuzzy partition.Fri, 03 Mar 2017 20:30:00 +0100TRANSPORT EQUATION WITH FUZZY DATA
http://ijfs.usb.ac.ir/article_3069_0.html
In this paper, we use the generalized differentiability concept tostudy the fuzzy transport equation. We consider transport equationin the homogeneous and non-homogeneous cases with fuzzy initialcondition. We present the solution when speed parameter is a fuzzynumber too. Our method is based on the construction of the solutionsby employing Zadeh's extension principle.Fri, 03 Mar 2017 20:30:00 +0100ADMISSIBLE PARTITION FOR BL-GENERAL FUZZY AUTOMATON
http://ijfs.usb.ac.ir/article_3292_0.html
In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finally, we present some examples to clarify the notions and results of this paper.Sat, 01 Jul 2017 19:30:00 +0100AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS
http://ijfs.usb.ac.ir/article_3293_0.html
In this paper, we introduce the notion of co-annihilator of a subsetin a triangle algebra. It is shown that the co-annihilator of asubset is an interval valued residuated lattice (IVRL)-filter. Also, aspecial set of a triangle algebra is defined and the relationshipbetween this set and co-annihilator of a subset in triangle algebrais considered. Finally, co-annihilators preserving congruencerelation, or $CP$-congruence are defined and some results of themare given.Sat, 01 Jul 2017 19:30:00 +0100(1606-2986) TREE AUTOMATA BASED ON COMPLETE RESIDUATED LATTICE-VALUED LOGIC: REDUCTION ...
http://ijfs.usb.ac.ir/article_3392_0.html
In this paper, at first we define the concepts of response function and accessible states of a complete residuated lattice-valued (for simplicity we write $mathcal{L}$-valued) tree automaton with a threshold $c.$ Then, related to these concepts, we prove some lemmas and theorems that are applied in considering some decision problems such as finiteness-value and emptiness-value of recognizable tree languages. Moreover, we propose a reduction algorithm for $mathcal{L}$-valued tree automata with a threshold $c.$ The goal of reducing an $ mathcal{L}$-valued tree automaton is to obtain an $mathcal{L}$-valued tree automaton with reduced number of states %that all of its states are accessible all of which are accessible, in addition it recognizes the same language as the first one given. We compare our algorithm with some other algorithms in the literature. Finally, utilizing the obtained results, we consider some fundamental decision problems for $mathcal{L}$-valued tree automata including the membership-value, the emptiness-value, the finiteness-value, the intersection-value and the equivalence-value problems.Tue, 03 Oct 2017 20:30:00 +0100(1610-3210) MAN - MACHINE INTERACTION SYSTEM FOR SUBJECT INDEPENDENT SIGN LANGUAGE RECOGNITION ...
http://ijfs.usb.ac.ir/article_3536_0.html
Sign language recognition has spawned more and more interestin humancomputer interaction society. The major challenge that SLR recog-nition faces now is developing methods that will scale well with increasingvocabulary size with a limited set of training data for the signer independentapplication. The automatic SLR based on hidden Markov models (HMMs) isvery sensitive to gesture's shape information that makes the accurate param-eters of the HMM not capable of characterizing the ambiguous distributionsof the observations in gesture's features. This paper presents an extension ofthe HMMs using interval type-2 fuzzy sets (IT2FSs) to produce interval type-2fuzzy HMMs to model uncertainties of hypothesis spaces (unknown varieties ofparameters of the decision function). The benefit of this enlargement is that itcan control both the randomness and fuzziness of traditional HMM mapping.Membership function (MF) of type-2 FS is three-dimensional that providesadditional degrees of freedom to evaluate HMM's uncertainties. This systemaspires to be a solution to the scalability problem, i.e. has real potential forapplication on a large vocabulary. Furthermore, it does not rely on the use ofdata gloves or other means as input devices, and operates in isolated signer-independent modes. Experimental results show that the interval type-2 fuzzyHMM has a comparable performance as that of the fuzzy HMM but is morerobust to the gesture variation, while it retains almost the same computationalcomplexity as that of the FHMM.Fri, 12 Jan 2018 20:30:00 +0100(1612-3365) ON TOPOLOGICAL EQ-ALGEBRAS
http://ijfs.usb.ac.ir/article_3550_0.html
In this paper, by using a special family of filters F on an EQ-algebra E, we construct a topology TF on E and show that (E, TF) is atopological EQ-algebra. First of all, we give some properties of topologicalEQ-algebras and investigate the interaction of topological EQ-algebras andquotient topological EQ-algebras. Then we obtain the form of closure of eachsubset and show that (E; TF) is a zero-dimensional space. Finally, we introducethe concept of convergence of sequences on topological EQ-algebras and givea condition under which the limit of a sequence is unique.Fri, 26 Jan 2018 20:30:00 +0100(1609-3148) THE CHAIN PROPERTIES AND LI-YORKE SENSITIVITY OF ZADEH'S EXTENSION ON THE SPACE OF ...
http://ijfs.usb.ac.ir/article_3587_0.html
Some characterizations on the chain recurrence, chain transitivity,chain mixing property, shadowing and h-shadowing for Zadeh's extension areobtained. Besides, it is proved that a dynamical system is spatiotemporallychaotic provided that the Zadeh's extension is Li-Yorke sensitive.Tue, 13 Feb 2018 20:30:00 +0100(1604-2876) ON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS
http://ijfs.usb.ac.ir/article_3709_0.html
In order to more effectively cope with the real world problemsof vagueness, imprecise and subjectivity, fuzzy event systems were proposedrecently. In this paper, we investigate the controllability and the observabilityproperty of two systems that one of them has fuzzy variables and the other onehas fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficientconditions for the controllability and the observability of such systems areestablished. Some examples are given to substantiate the results obtained.Mon, 05 Mar 2018 20:30:00 +0100(1610-3242) INCOMPLETE INTERVAL-VALUED HESITANT FUZZY PREFERENCE RELATIONS IN DECISION MAKING
http://ijfs.usb.ac.ir/article_3710_0.html
In this article, we propose a method to deal with incompleteinterval-valued hesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzy preferencerelations is formulated which assists in estimating missing preferences. Firstof all, we introduce a condition for decision makers providing incomplete information.Decision makers expressing incomplete data are expected to abideby the proposed condition. This ensures that the estimated preferences arewell-defined intervals which otherwise may not be possible. Additionally, thiscondition eliminates the problem of outlying estimated preferences. After resolvingthe issue of incompleteness, this article proposes a ranking rule forreciprocal and non-reciprocal interval-valued hesitant fuzzy preference relations.Fri, 09 Mar 2018 20:30:00 +0100(1705-3694) SINGLE MACHINE DUE DATE ASSIGNMENT SCHEDULING PROBLEM WITH PRECEDENCE CONSTRAINTS ...
http://ijfs.usb.ac.ir/article_3711_0.html
In this paper, a due date assignment scheduling problem withprecedence constraints and controllable processing times in uncertain environ-ment is investigated, in which the basic processing time of each job is assumedto be the symmetric trapezoidal fuzzy number, and the linear resource con-sumption function is used. The objective is to minimize the crisp possibilisticmean (or expected) value of a cost function that includes the costs of earli-ness, tardiness, makespan and resource consumption jointly by scheduling thejobs under precedence constraints and determining the due date and the re-source allocation amount satisfying resource constraints for each job. First,the problem is shown to be NP-hard. Furthermore, an optimal algorithm withpolynomial time for the special case of this problem is put forward. More-over, an efficient 2-approximation algorithm is presented based on solving therelaxation of the problem. Finally, the numerical experiment is given, whoseresults show that our method is promising.Fri, 09 Mar 2018 20:30:00 +0100(1705-3711) UNCERTAINTY DATA CREATING INTERVAL-VALUED FUZZY RELATION IN DECISION MAKING MODEL ...
http://ijfs.usb.ac.ir/article_3712_0.html
The paper introduces a new approach to preference structure,where from a weak preference relation derive the following relations: strict pref-erence, indifference and incomparability, which by aggregations and negationsare created and examined. We decomposing a preference relation into a strictpreference, an indifference, and an incomparability relation. This approachallows one to quantify different types of uncertainty in selecting alternatives.In presented preference structure we use interval-valued fuzzy relations, whichcan be interpreted as a tool that may help to model in a better way imperfectinformation, especially under imperfectly dened facts and imprecise knowl-edge. Preference structures are of great interest nowadays because of theirapplications, so we propose at the end the algorithm of decision making by usenew preference structure.Fri, 09 Mar 2018 20:30:00 +0100(1701-3410) INTUITIONISTIC FUZZY DIMENSIONAL ANALYSIS FOR MULTI-CRITERIA DECISION MAKING
http://ijfs.usb.ac.ir/article_3713_0.html
Dimensional analysis, for multi-criteria decision making, is a math-ematical method that includes diverse heterogeneous criteria into a single di-mensionless index. Dimensional Analysis, in its current definition, presents thedrawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we proposetwo dimensional analysis based techniques under intuitionistic fuzzy environ-ments. By the arithmetic operations of intuitionistic fuzzy numbers, we de-scribe the intuitionistic fuzzy dimensional analysis (IFDA) and the aggregatedintuitionistic fuzzy dimensional (AIFDA) techniques. In the first technique,we consider only the handling of fuzzy information; and, in the second one weconsider both quantitative (crisp) and qualitative (fuzzy) information typicallypresented together in a decision making problem. To illustrate our approaches,we present some numerical examples and perform some comparisons with otherwell-known techniques.Fri, 09 Mar 2018 20:30:00 +0100(1704-3625) M-FUZZIFYING TOPOLOGICAL CONVEX SPACES
http://ijfs.usb.ac.ir/article_3724_0.html
The main purpose of this paper is to introduce the compatibility ofM-fuzzifying topologies and M-fuzzifying convexities, define an M-fuzzifyingtopological convex space, and give a method to generate an M-fuzzifying topologicalconvex space. Some characterizations of M-fuzzifying topological convexspaces are presented. Finally, the notion of M-fuzzifying weak topologiesis obtained from M-fuzzifying topological convex spaces.Mon, 12 Mar 2018 20:30:00 +0100(1512-2622) FUZZY LOGISTIC REGRESSION BASED ON LEAST SQUARE APPROACH AND TRAPEZOIDAL MEMBERSHIP ...
http://ijfs.usb.ac.ir/article_3750_0.html
Logistic regression is a non-linear modification of the linear regres-sion. The purpose of the logistic regression analysis is to measure the effects ofmultiple explanatory variables which can be continuous and response variableis categorical. In real life situations sometimes we deal with the informationthat is vague in nature and where each and every case has not been explainedprecisely. In this regard, we have used the concept of possiblistic odds andfuzzy approach. Fuzzy logic deals with linguistic uncertainties and extractsvaluable information from linguistic terms. In our study, we have developedfuzzy possiblistic logistic model with trapezoidal membership function andfuzzy possiblistic logistic model is a tool that help us to deal with impreciseobservations. Comparison of the fuzzy logistic regression model with classicallogistic regression has been done by goodness of t criteria on real life example.Mon, 02 Apr 2018 19:30:00 +0100(1703-3531) SEPARABLE PROGRAMMING PROBLEMS WITH THE MAX-PRODUCT FUZZY RELATION EQUATION CONSTRAINTS
http://ijfs.usb.ac.ir/article_3751_0.html
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
http://ijfs.usb.ac.ir/article_3752_0.html
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(Siran-IJFS) SUPER- AND SUB-ADDITIVE ENVELOPES OF AGGREGATION FUNCTIONS: INTERPLAY BETWEEN ...
http://ijfs.usb.ac.ir/article_3757_0.html
Super- and sub-additive transformations of aggregation functionshave been recently introduced by Greco, Mesiar, Rindone and Sipeky [Thesuperadditive and the subadditive transformations of integrals and aggrega-tion functions, Fuzzy Sets and Systems 291 (2016), 40{53]. In this article wegive a survey of the recent development regarding the existence of aggregationfunctions with a preassigned super- and sub-additive transformation, and ad-dress approximation of these transformations. The underpinning feature of thepresented results is dependence of global properties of super- and sub-additivetransformations on local properties of aggregation functions.Sat, 07 Apr 2018 19:30:00 +0100(Mesiar-Kolesarova) ON THE FUZZY SET THEORY AND AGGREGATION FUNCTIONS: HISTORY AND SOME RECENT ...
http://ijfs.usb.ac.ir/article_3758_0.html
Several fuzzy connectives, including those proposed by Lotfi Zadeh,can be seen as linear extensions of the Boolean connectives from the scale f0; 1ginto the scale [0; 1]. We discuss these extensions, in particular, we focus on thedualities arising from the Boolean dualities. These dualities allow to trans-fer the results from some particular class of extended Boolean functions, e.g.,from conjunctive functions, into some other distinguished classes, e.g., intofuzzy implications. We also stress the role of aggregation functions in fuzzyset theory. Then we continue with several recent advances and new direc-tions in aggregation theory. In particular, we discuss some generalizations ofmonotonicity, additivity and maxitivity issues. Finally, some applications ofaggregation functions are sketched.Sat, 07 Apr 2018 19:30:00 +0100(1707-3814) ON GENERALIZED FUZZY NUMBERS
http://ijfs.usb.ac.ir/article_3773_0.html
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
http://ijfs.usb.ac.ir/article_3839_0.html
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
http://ijfs.usb.ac.ir/article_3856_0.html
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
http://ijfs.usb.ac.ir/article_3857_0.html
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
http://ijfs.usb.ac.ir/article_3859_0.html
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 ...
http://ijfs.usb.ac.ir/article_3863_0.html
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
http://ijfs.usb.ac.ir/article_3901_0.html
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
http://ijfs.usb.ac.ir/article_3902_0.html
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
http://ijfs.usb.ac.ir/article_3905_0.html
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
http://ijfs.usb.ac.ir/article_3944_0.html
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
http://ijfs.usb.ac.ir/article_3958_0.html
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
http://ijfs.usb.ac.ir/article_4000_0.html
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 ...
http://ijfs.usb.ac.ir/article_4102_0.html
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 ...
http://ijfs.usb.ac.ir/article_4104_0.html
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
http://ijfs.usb.ac.ir/article_4105_0.html
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
http://ijfs.usb.ac.ir/article_4106_0.html
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
http://ijfs.usb.ac.ir/article_4107_0.html
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