Iranian Journal of Fuzzy SystemsIranian Journal of Fuzzy Systems
http://ijfs.usb.ac.ir/
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Feed provided by Iranian Journal of Fuzzy Systems. Click to visit.cover 16-5 October 2019
http://ijfs.usb.ac.ir/article_4903_626.html
Mon, 30 Sep 2019 20:30:00 +0100Horizontal representation of a hesitant fuzzy set and its application to multiple attribute ...
http://ijfs.usb.ac.ir/article_4900_626.html
The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making problem under hesitant fuzzy environment.Interestingly, the results show that the proposedmethod gives the most accepted precedence of alternatives in comparison with the other existingmethods.Mon, 30 Sep 2019 20:30:00 +0100A research on classification performance of fuzzy classifiers based on fuzzy set theory
http://ijfs.usb.ac.ir/article_4902_626.html
Due to the complexities of objects and the vagueness of the human mind, it has attracted considerable attention from researchers studying fuzzy classification algorithms. In this paper, we propose a concept of fuzzy relative entropy to measure the divergence between two fuzzy sets. Applying fuzzy relative entropy, we prove the conclusion that patterns with high fuzziness are close to the classification boundary. Thus, it plays a great role in classification problems that patterns with high fuzziness are classified correctly. Meanwhile, we draw a conclusion that the fuzziness of a pattern and the uncertainty of its class label are equivalent. As is well known, entropy not only measures the uncertainty of random variable, but also represents the amount of information carried by the variable. Hence, a fuzzy classifier with high fuzziness would carry much information about training set. Therefore, in addition to some assessment criteria such as classification accuracy, we could study the classification performance from the perspective of the fuzziness of classifier. In order to try to ensure the objectivity in dealing with unseen patterns, we should make full use of information of the known pattern set and do not make too much subjective assumptions in the process of learning. Consequently, for problems with rather complex decision boundaries especially, under the condition that a certain training accuracy threshold is maintained, we demonstrate that a fuzzy classifier with high fuzziness would have a well generalization performance.Mon, 30 Sep 2019 20:30:00 +0100A note on decision making in medical investigations using new divergence measures for ...
http://ijfs.usb.ac.ir/article_4904_626.html
Srivastava and Maheshwari (Iranian Journal of Fuzzy Systems 13(1)(2016) 25-44) introduced a new divergence measure for intuitionisticfuzzy sets (IFSs). The properties of the proposed divergence measurewere studied and the efficiency of the proposed divergence measurein the context of medical diagnosis was also demonstrated. In thisnote, we point out some errors in the proving process of twoproperties of the proposed divergence measure. Then we give amodification of the proving process.Mon, 30 Sep 2019 20:30:00 +0100Solving LR fuzzy linear matrix equation†
http://ijfs.usb.ac.ir/article_4905_626.html
In this paper, the fuzzy matrix equation $Awidetilde{X}B=widetilde{C}$ in which $A,B$ are $n times n$crisp matrices respectively and $widetilde{C}$ is an $n times n$ arbitrary LR fuzzy numbers matrix, is investigated. A new numerical procedure for calculating the fuzzy solution is designed and a sufficient condition for the existence of strong fuzzy solution is derived. Some examples are given to illustrate the proposed method.Mon, 30 Sep 2019 20:30:00 +0100Systematic literature review of fuzzy logic based text summarization
http://ijfs.usb.ac.ir/article_4906_626.html
Information Overloadrq is not a new term but with the massive development in technology which enables anytime, anywhere, easy and unlimited access; participation & publishing of information has consequently escalated its impact. Assisting userslq informational searches with reduced reading surfing time by extracting and evaluating accurate, authentic & relevant information are the primary concerns in the present milieu. Automatic text summarization is the process of condensing an original document into shorter form to create smaller, compact version from the abundant information that is available, preserving the content & meaning such that it meets the needs of the user. Though many summarization techniques have been proposed but there are no lq silver bulletsrq to achieve the superlative results as of human generated summaries. Thus, the domain of text summarization is an active and dynamic field of study, practice & research with the continuous need to expound novel techniques for achieving comparable & effectual results. Fuzzy logic has appeared as a powerful theoretical framework for studying human reasoning and its application has been explored within the domain of text summarization in the past few years. This paper is a systematic literature review to gather, analyze, and report the trends, gaps and prospects of using fuzzy logic for automatic text summarization on the basis of the findings in original studies.Mon, 30 Sep 2019 20:30:00 +0100Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions ...
http://ijfs.usb.ac.ir/article_4907_626.html
This article introduces a general framework of multi-granulation fuzzy probabilistic roughsets (MG-FPRSs) models in multi-granulation fuzzy probabilistic approximation space over twouniverses. Four types of MG-FPRSs are established, by the four different conditional probabilitiesof fuzzy event. For different constraints on parameters, we obtain four kinds of each type MG-FPRSsover two universes. To find a suitable way of explaining and determining these parameters in eachkind of each type MG-FPRS, three-way decisions (3WDs) are studied based on Bayesian minimum-riskprocedure, i.e., the decision-theoretic rough set (DTRS) approach. The main contribution of this paperis twofold. One is to extend the fuzzy probabilistic rough set (FPRS) to MG-FPRS model over two universes.Another is to present an approach to select parameters in MG-FPRS modeling by using the process ofdecision-making under conditions of risk.Mon, 30 Sep 2019 20:30:00 +0100The KKT optimality conditions for constrained programming problem with generalized convex fuzzy ...
http://ijfs.usb.ac.ir/article_4908_626.html
The aim of present paper is to study a constrained programming with generalized $alpha-$univex fuzzy mappings. In this paper we introduce the concepts of $alpha-$univex, $alpha-$preunivex, pseudo $alpha-$univex and $alpha-$unicave fuzzy mappings, and we discover that $alpha-$univex fuzzy mappings are more general than univex fuzzy mappings. Then, we discuss the relationships of generalized $alpha-$univex fuzzy mappings and get some properties. In the last, we derive necessary and sufficient Karush-Kuhn-Tucker conditions and its dual problems with generalized differentiable $alpha-$univex fuzzy mappings for fuzzy constrained programming problem.Mon, 30 Sep 2019 20:30:00 +0100Fuzzy adaptive tracking control for a class of nonlinearly parameterized systems with unknown ...
http://ijfs.usb.ac.ir/article_4909_626.html
This paper addresses the problem of adaptive fuzzy tracking control for aclass of nonlinearly parameterized systems with unknown control directions.In this paper, the nonlinearly parameterized functions are lumped into the unknown continuous functionswhich can be approximated by using the fuzzy logic systems (FLS) in Mamdani type. Then, the Nussbaum-type function is used to detect the unknown control direction and based on the backstepping technique, the adaptive fuzzycontroller is designed. The main advantages of this paper are that (1) in the existing results the separation principle is used to deal with the nonlinearly parameterized functions, unlike them in this paper, the FLS are applied to approximate the nonlinearly parameterized functions, (2) by using the minimal learning parameters (MLP) algorithm, onlyone parameter needs to be adjusted online in the controller design procedure, which reduces the onlinecomputation burden greatly, (3) the Nussbaum-gain technique is introduced to resolve the unknown control direction problems. It is proven that the proposed control scheme renders the closed-loopsystem stable in the sense of semiglobal uniformly ultimately bounded (UUB). Finally, simulation results are provided to show the effectiveness of the proposed approach.Mon, 30 Sep 2019 20:30:00 +0100Mobile robot wall-following control using a behavior-based fuzzy controller in unknown environments
http://ijfs.usb.ac.ir/article_4911_626.html
This paper addresses a behavior-based fuzzy controller (BFC) for mobile robot wall-following control.The wall-following task is usually used to explore an unknown environment.The proposed BFC consists of three sub-fuzzy controllers, including Straight-based Fuzzy Controller (SFC),Left-based Fuzzy Controller (LFC), and Right-based Fuzzy Controller (RFC).The proposed wall-following controller has three characteristics: the mobile robot keeps a distance from the wall,the mobile robot has a high moving velocity, and the mobile robot has a good robustness ability of disturbance.The proposed BFC will be used to control the real mobile robot.The Pioneer 3-DX mobile robot has sonar sensors in front and sides, and it is used in this study.The inputs of BFC are sonar sensors data and the outputs of BFC are robot¡¦s left/right wheel speed.Experimental results show that the proposed BFC successfully performs the mobile robot wall-following taskin a real unknown environment.Mon, 30 Sep 2019 20:30:00 +0100Equality propositional logic and its extensions
http://ijfs.usb.ac.ir/article_4912_626.html
We introduce a new formal logic, called equality propositional logic. It has two basic connectives, $boldsymbol{wedge}$ (conjunction) and $equiv$ (equivalence). Moreover, the $Rightarrow$ (implication) connective can be derived as $ARightarrow B:=(Aboldsymbol{wedge}B)equiv A$. We formulate the equality propositional logic and demonstrate that the resulting logic has reasonable properties such as Modus Ponens(MP) rule, Hypothetical Syllogism(HS) rule and completeness, etc. Especially, we provide two ways to prove the completeness of this logic system. We also introduce two extensions of equality propositional logic. The first one is involutive equality propositional logic, which is equality propositional logic with double negation. The second one adds prelinearity which is rich enough to enjoy the strong completeness property. Finally, we introduce additional connective $Delta$(delta) in equality propositional logic and demonstrate that the resulting logic holds soundness and completeness.Mon, 30 Sep 2019 20:30:00 +0100Monoidal closedness of $L$-generalized convergence spaces
http://ijfs.usb.ac.ir/article_4913_626.html
In this paper, it is shown that the category of stratified $L$-generalized convergence spaces is monoidal closed if the underlying truth-value table $L$ is a complete residuated lattice. In particular, if the underlying truth-value table $L$ is a complete Heyting Algebra, the Cartesian closedness of the category is recaptured by our result.Mon, 30 Sep 2019 20:30:00 +0100Multidimensional fuzzy finite tree automata
http://ijfs.usb.ac.ir/article_4915_626.html
This paper introduces the notion of multidimensional fuzzy finite tree automata (MFFTA) and investigates its closure properties from the area of automata and language theory. MFFTA are a superclass of fuzzy tree automata whose behavior is generalized to adapt to multidimensional fuzzy sets. An MFFTA recognizes a multidimensional fuzzy tree language which is a regular tree language so that for each dimension, a fuzzy membership grade is assigned to each tree. We study MFFTA by extending some classical problems and properties of automata and regular languages such as determinization, reduction, duality and operations on languages. Furthermore, we provided the method of converting every complete fuzzy tree automata to an MFFTA as well as an example to show the efficiency of MFFTA in comparison to FFTA.}Mon, 30 Sep 2019 20:30:00 +0100An EPQ model for an imperfect production process with fuzzy cycle time and quality screening
http://ijfs.usb.ac.ir/article_4917_626.html
This study has developed a production inventory model where the cycle timeis fuzzy, the existence of defective products is assumed in each batch andproduct screening is performed both in-production and after-production.Triangular fuzzy numbers serve to model uncertainties in the cycle time, anda fuzzified total inventory profit function is created by thedefuzzification method known as the signed distance method. The classicalapproach is used to determine the optimal policy, with the ideal cycle timematched to the total profit. Although assuming asymmetric triangular fuzzynumbers prevents the calculation of a clear analytical solution, the methodapproaches as closely as possible to an analytical solution. A numericalsolution to only one equation is needed to obtain the optimal configuration.Conversely, there is a positive trade-off, with an analytical solution tothe optimization problem if there is an assumption of symmetrical triangularfuzzy numbers. The proposed model is illustrated by a numerical example. Thepaper presents results and sensitivity analyses, in both tables and graphicillustrations. The effects on total profit are discussed in relation tovarious parameters. From the numerical studies, it is observed that thelevel of fuzziness influences the cycle time and an approximately linearrelationship, in the opposite direction, was found between the total profitand the level of fuzziness, when it was increased.Mon, 30 Sep 2019 20:30:00 +0100Some new variants of interval-valued Gronwall type inequalities on time scales
http://ijfs.usb.ac.ir/article_4918_626.html
By using an efficient partial order and concept of gH-differentiability oninterval-valued functions, we investigate some new variants of Gronwall typeinequalities on time scales, which provide explicit bounds on unknownfunctions. Our results not only unify and extend some continuousinequalities, but also in discrete case, all are new.Mon, 30 Sep 2019 20:30:00 +0100Persian-translation- 16-5 October 2019
http://ijfs.usb.ac.ir/article_4919_626.html
Mon, 30 Sep 2019 20:30:00 +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(1711-4068) A RESEARCH ON CLASSIFICATION PERFORMANCE OF FUZZY CLASSIFIERS BASED ON FUZZY SET THEORY
http://ijfs.usb.ac.ir/article_4442_0.html
Due to the complexities of objects and the vagueness of the human mind, it hasattracted considerable attention from researchers studying fuzzy classification algorithms.In this paper, we propose a concept of fuzzy relative entropy to measure the divergencebetween two fuzzy sets. Applying fuzzy relative entropy, we prove the conclusion thatpatterns with high fuzziness are close to the classification boundary. Thus, it plays a greatrole in classification problems that patterns with high fuzziness are classified correctly.Meanwhile, we draw a conclusion that the fuzziness of a pattern and the uncertainty of itsclass label are equivalent. As is well known, entropy not only measures the uncertaintyof random variable, but also represents the amount of information carried by the variable.Hence, a fuzzy classifier with high fuzziness would carry much information about trainingset. Therefore, in addition to some assessment criteria such as classification accuracy, wecould study the classification performance from the perspective of the fuzziness of clas-sifier. In order to try to ensure the objectivity in dealing with unseen patterns, we shouldmake full use of information of the known pattern set and do not make too much subjectiveassumptions in the process of learning. Consequently, for problems with rather complexdecision boundaries especially, under the condition that a certain training accuracy thresh-old is maintained, we demonstrate that a fuzzy classifier with high fuzziness would have awell generalization performance.Fri, 15 Feb 2019 20:30:00 +0100(1801-4185) HORIZONTAL REPRESENTATION OF A HESITANT FUZZY SET AND ITS APPLICATION TO MULTIPLE ...
http://ijfs.usb.ac.ir/article_4443_0.html
The main aim of this paper is to present a novel method for rank-ing hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets(FSs). The idea behind the method is an interesting HFS decomposition whichis referred here to as the horizontal representation in the current study. Toshow the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making problem under hesitant fuzzy environment. Inter-estingly, the results show that the proposed method gives the most acceptedprecedence of alternatives in comparison with the other existing methods.Sat, 16 Feb 2019 20:30:00 +0100(1803-4326) 0A NOTE ON \DECISION MAKING IN MEDICAL INVESTIGATIONS USING NEW DIVERGENCE MEASURES ...
http://ijfs.usb.ac.ir/article_4444_0.html
Srivastava and Maheshwari (Iranian Journal of Fuzzy Systems13(1) (2016) 25-44) introduced a new divergence measure for intuitionisticfuzzy sets (IFSs). The properties of the proposed divergence measure werestudied and the e±ciency of the proposed divergence measure in the contextof medical diagnosis was also demonstrated. In this note, we point out someerrors in the proving process of two properties of the proposed divergencemeasure. Then we give a modification of the proving process.Sat, 16 Feb 2019 20:30:00 +0100(1706-3727) SYSTEMATIC LITERATURE REVIEW OF FUZZY LOGIC BASED TEXT SUMMARIZATION
http://ijfs.usb.ac.ir/article_4451_0.html
`Information Overload'is not a new term but with the massive developmentin technology which enables anytime, anywhere, easy and unlimitedaccess; participation & publishing of information has consequently escalatedits impact. Assisting users`informational searches with reduced reading surfingtime by extracting and evaluating accurate, authentic & relevant informationare the primary concerns in the present milieu. Automatic text summarizationis the process of condensing an original document into shorter form tocreate smaller, compact version from the abundant information that is available,preserving the content & meaning such that it meets the needs of theuser. Though many summarization techniques have been proposed but thereare no `silver bullets'to achieve the superlative results as of human generatedsummaries. Thus, the domain of text summarization is an active and dynamicfield of study, practice & research with the continuous need to expound noveltechniques for achieving comparable & effectual results. Fuzzy logic has appearedas a powerful theoretical framework for studying human reasoning andits application has been explored within the domain of text summarizationin the past few years. This paper is a systematic literature review to gather,analyze, and report the trends, gaps and prospects of using fuzzy logic forautomatic text summarization on the basis of the findings in original studies.Sat, 23 Feb 2019 20:30:00 +0100(1801-4191) THE KKT OPTIMALITY CONDITIONS FOR CONSTRAINED PROGRAMMING PROBLEM WITH GENERALIZED ...
http://ijfs.usb.ac.ir/article_4553_0.html
The aim of present paper is to study a constrained programmingwith generalized α-univex fuzzy mappings. In this paper we introduce theconcepts of α-univex, α-preunivex, pseudo α-univex and α-unicave fuzzymappings, and we discover that α-univex fuzzy mappings are more generalthan univex fuzzy mappings. Then, we discuss the relationships of generalizedα-univex fuzzy mappings and get some properties. In the last, we derivenecessary and sufficient Karush-Kuhn-Tucker conditions and its dual problemswith generalized differentiable α-univex fuzzy mappings for fuzzy constrainedprogramming problem.Fri, 05 Apr 2019 19:30:00 +0100(1804-4374) FUZZY ADAPTIVE TRACKING CONTROL FOR A CLASS OF NONLINEARLY PARAMETERIZED SYSTEMS ...
http://ijfs.usb.ac.ir/article_4554_0.html
This paper addresses the problem of adaptive fuzzy tracking controlfor a class of nonlinearly parameterized systems with unknown controldirections. In this paper, the nonlinearly parameterized functions are lumpedinto the unknown continuous functions which can be approximated by usingthe fuzzy logic systems (FLS) in Mamdani type. Then, the Nussbaum-typefunction is used to detect the unknown control direction and based on thebackstepping technique, the adaptive fuzzy controller is designed. The mainadvantages of this paper are that (1) in the existing results the separationprinciple is used to deal with the nonlinearly parameterized functions, unlikethem in this paper, the FLS are applied to approximate the nonlinearly parameterizedfunctions, (2) by using the minimal learning parameters (MLP)algorithm, only one parameter needs to be adjusted online in the controllerdesign procedure, which reduces the online computation burden greatly, (3)the Nussbaum-gain technique is introduced to resolve the unknown controldirection problems. It is proven that the proposed control scheme rendersthe closed-loop system stable in the sense of semiglobal uniformly ultimatelybounded (UUB). Finally, simulation results are provided to show the effectivenessof the proposed approach.Fri, 05 Apr 2019 19:30:00 +0100(1710-4026) MONOIDAL CLOSEDNESS OF L-GENERALIZED CONVERGENCE SPACES
http://ijfs.usb.ac.ir/article_4555_0.html
In this paper, it is shown that the category of stratified L-generalizedconvergence spaces is monoidal closed if the underlying truth-value table L isa complete residuated lattice. In particular, if the underlying truth-value tableL is a complete Heyting Algebra, the Cartesian closedness of the category isrecaptured by our result.Mon, 08 Apr 2019 19:30:00 +0100(1709-3931) COMPLEX FUZZY Hv-SUBGROUPS OF AN Hv-GROUP
http://ijfs.usb.ac.ir/article_4556_0.html
The concept of complex fuzzy sets is a generalization of ordinaryfuzzy sets. In this paper, we introduce the concept of complex fuzzy subhy-pergroups (Hv-subgroups) as well as the concept of complex anti-fuzzy subhy-pergroups (Hv-subgroups). We investigate their properties and their relationswith the traditional fuzzy (anti-fuzzy) subhypergroups (Hv-subgroups), andwe prove some results in this respect.Mon, 08 Apr 2019 19:30:00 +0100(1803-4364)0ROUGH APPROXIMATION OPERATORS BASED ON QUANTALE-VALUED FUZZY GENERALIZED ...
http://ijfs.usb.ac.ir/article_4557_0.html
Let L be an integral and commutative quantale. In this paper,by fuzzifying the notion of generalized neighborhood systems, the notion of L-fuzzy generalized neighborhood system is introduced and then a pair of lowerand upper approximation operators based on it are dened and discussed. It isproved that these approximation operators include generalized neighborhoodsystem-based approximation operators, L-fuzzy relation-based approximationoperators and L-fuzzy covering-based approximation operators as their specialcircumstances. Therefore, the research on L-fuzzy generalized neighborhoodsystem-based approximation operators has more general significance. In ad-dition, when the L-fuzzy generalized neighborhood system is serial, reflexive,unary and transitive, then the corresponding approximation operators are dis-cussed and characterized, respectively.Mon, 08 Apr 2019 19:30:00 +0100(1803-4353) WEAK HYPER SEMI-QUANTALES AND WEAK HYPERVALUED TOPOLOGICAL SPACES
http://ijfs.usb.ac.ir/article_4558_0.html
The purpose of this paper is to construct a weak hyper semiquantaleas a generalization of the concept of semi-quantale and used it as anappropriate hyperlattice-theoretic basis to formulate new lattice-valued topologicaltheories. Based on such weak hyper semi-quantale, we aim to constructthe notion of a weak hypervalued-topology as a generalized form of the socalledlattice-valued topology (or many-valued topology). Some properties ofweak hyper semi-quantales and weak hypervalued-topologies will be studied.An adjunction between the category of weak hyper semi-quantales and thecategory of weak hypervalued quasi-topological spaces will be established.Mon, 08 Apr 2019 19:30:00 +0100(1712-4137) AN EPQ MODEL FOR AN IMPERFECT PRODUCTION PROCESS WITH FUZZY CYCLE TIME AND QUALITY ...
http://ijfs.usb.ac.ir/article_4561_0.html
This study has developed a production inventory model where thecycle time is fuzzy, the existence of defective products is assumed in each batchand product screening is performed both in-production and after-production.Triangular fuzzy numbers serve to model uncertainties in the cycle time, and afuzzified total inventory prot function is created by the defuzzification methodknown as the signed distance method. The classical approach is used to determinethe optimal policy, with the ideal cycle time matched to the totalprot. Although assuming asymmetric triangular fuzzy numbers prevents thecalculation of a clear analytical solution, the method approaches as closely aspossible to an analytical solution. A numerical solution to only one equationis needed to obtain the optimal conguration. Conversely, there is a positivetrade-off, with an analytical solution to the optimization problem if there is anassumption of symmetrical triangular fuzzy numbers. The proposed model isillustrated by a numerical example. The paper presents results and sensitivityanalyses, in both tables and graphic illustrations. The effects on total profitare discussed in relation to various parameters. From the numerical studies,it is observed that the level of fuzziness influences the cycle time and an approximatelylinear relationship, in the opposite direction, was found betweenthe total profit and the level of fuzziness, when it was increased.Mon, 08 Apr 2019 19:30:00 +0100(1807-4619) EQUALITY PROPOSITIONAL LOGIC AND ITS EXTENSIONS
http://ijfs.usb.ac.ir/article_4562_0.html
We introduce a new formal logic, called equality propositionallogic. It has two basic connectives, ^ (conjunction) and ≡ (equivalence).Moreover, the → (implication) connective can be derived as A → B := (A ^B) ≡ A. We formulate the equality propositional logic and demonstrate thatthe resulting logic has reasonable properties such as Modus Ponens(MP) rule,Hypothetical Syllogism(HS) rule and completeness, etc. Especially, we providetwo ways to prove the completeness of this logic system. We also introduce twoextensions of equality propositional logic. The first one is involutive equalitypropositional logic, which is equality propositional logic with double negation.The second one adds prelinearity which is rich enough to enjoy the strongcompleteness property. Finally, we introduce additional connective Δ(delta)in equality propositional logic and demonstrate that the resulting logic holdssoundness and completeness.Mon, 08 Apr 2019 19:30:00 +0100(1711-4091) Multidimensional fuzzy finite tree automata
http://ijfs.usb.ac.ir/article_4566_0.html
This paper introduces the notion of multidimensional fuzzy finite tree automata (MFFTA) and investigates its closureproperties from the area of automata and language theory. MFFTA are a superclass of fuzzy tree automata whosebehavior is generalized to adapt to multidimensional fuzzy sets. An MFFTA recognizes a multidimensional fuzzy treelanguage which is a regular tree language so that for each dimension, a fuzzy membership grade is assigned to each tree.We study MFFTA by extending some classical problems and properties of automata and regular languages such asdeterminization, reduction, duality and operations on languages. Furthermore, we provided the method of convertingevery complete fuzzy tree automata to an MFFTA as well as an example to show the efficiency of MFFTA in comparisonto FFTA.Fri, 12 Apr 2019 19:30:00 +0100(1805-4476) Convex structures via convex L-subgroups of an L-ordered group
http://ijfs.usb.ac.ir/article_4567_0.html
In this paper, we first characterize the convex L-subgroup of an L-ordered group by means of four kinds of cut setsof an L-subset. Then we consider the homomorphic preimages and the product of convex L-subgroups. After that,we introduce an L-convex structure constructed by convex L-subgroups. Furthermore, the notion of the degree towhich an L-subset of an L-ordered group is a convex L-subgroup is proposed and characterized. An L-fuzzy convexstructure results from convex L-subgroup degree is imported naturally, and its L-fuzzy convexity preserving mappingsis investigated.Fri, 12 Apr 2019 19:30:00 +0100(1807-4621) Super- and sub-additive transformations of aggregation functions from the point of ...
http://ijfs.usb.ac.ir/article_4568_0.html
The way super- and sub-additive transformations of aggregation functions are introduced involve suprema and infimataken over simplexes whose dimensions may grow arbitrarily. Exact values of such transformations may thus be hardto determine in general. In this note we discuss methods of algorithmic approximation of such transformations.Fri, 12 Apr 2019 19:30:00 +0100(1806-4545) Regularity in residuated lattices
http://ijfs.usb.ac.ir/article_4569_0.html
In this paper, we study residuated lattices in order to give new characterizations for dense, regular andBoolean elements in residuated lattices and investigate special residuated lattices in order to obtain newcharacterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra invarieties of Stonean residuated lattices is constructed. We introduce in residuated lattice a new type of filtercalled special filter and investigate its properties. Finally, regular filter property in residuated lattices isintroduced and is studied in details.Fri, 12 Apr 2019 19:30:00 +0100(1806-4519) Negations and aggregation operators based on a new hesitant fuzzy partial ordering
http://ijfs.usb.ac.ir/article_4570_0.html
Based on a new hesitant fuzzy partial ordering proposed by Garmendia et al. [7], in this paper a fuzzy disjunction Don the set H of finite and nonempty subsets of the unit interval and a t-conorm S on the set ¯B of equivalence class onthe set of finite bags of unit interval based on this partial ordering are introduced respectively. Then, hesitant fuzzynegations Nn on H and μn on¯B are proposed. Particularly, their De Morgan's laws are investigated with respect to binary operations C and D on H, as well as T and S on ¯B respectively, where C is a commutative fuzzy conjunction on (H,≤H) and T is a t-norm on (¯B,≤B). Finally, the new hesitant fuzzy aggregation operators are presented on H and B and their more general forms are given. Moreover, the validity of the aggregation operations is illustrated by a numerical example on decision making.Fri, 12 Apr 2019 19:30:00 +0100(1809-4735) New distance and similarity measures for hesitant fuzzy soft sets
http://ijfs.usb.ac.ir/article_4571_0.html
The hesitant fuzzy soft set (HFSS), as a combination of hesitant fuzzy and soft sets, is regarded as a useful tool fordealing with the uncertainty and ambiguity of real-world problems. In HFSSs, each element is defined in terms ofseveral parameters with arbitrary membership degrees. In addition, distance and similarity measures are consideredas the important tools in different areas such as pattern recognition, clustering, medical diagnosis, and the like. Forthis purpose, the present study aimed to evaluate the distance and similarity measures for HFSSs by using well-knownHamming, Euclidean, and Minkowski distance measures. Further, some examples were used to demonstrate that thesemeasures fail to perform well in some applications. Accordingly, new distance and similarity measures were proposed byconsidering a hesitance index for HFSSs and the effect of considering hesitance index was shown by using an exampleof pattern recognition. Finally, the application of the proposed measures and hesitance index was investigated in theclustering and decision-making problem, respectively. In conclusion, the use of the proposed measures in clustering andhesitance index in decision-making can provide better and more reasonable results.Fri, 12 Apr 2019 19:30:00 +0100(1809-4722) Completeness of Hutton [0; 1]-quasi-uniformities induced by a crisp uniformity
http://ijfs.usb.ac.ir/article_4572_0.html
In [25], Katsaras introduced a method for constructing a Hutton [0, 1]-quasi-uniformity from a crisp uniformity. In thispaper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure.Furthermore, we prove that some of these methods preserve the completeness property of the quasi-uniformity. Moreover,we also show that Katsaras’ construction allows to develop a theory of completion of a Hutton [0,1]-quasi-uniformspace obtained from a uniform space.Fri, 12 Apr 2019 19:30:00 +0100(1808-4647) On orders induced by implications
http://ijfs.usb.ac.ir/article_4573_0.html
In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessaryand sufficient condition is presented so that the ordinal sum of fuzzy implications satisfies the law of importation witha t-norm T. Some relationships between the orders induced by an ordinal sum implication and its summands aredetermined. The algebraic structures obtained from the orders induced by the residual implications and the ordinalsum implications are discussed.Fri, 12 Apr 2019 19:30:00 +0100(1804-4407) A new view on fuzzy automata normed linear structure spaces
http://ijfs.usb.ac.ir/article_4574_0.html
In this paper, the concept of fuzzy automata normed linear structure spaces is introduced and suitable examples areprovided. The concepts of fuzzy automata α-open sphere, fuzzy automata N -locally compact spaces, fuzzy automataN -Hausdorff spaces are also discussed. Some properties related with fuzzy automata normed linear structure spacesand fuzzy automata N -Hausdorff spaces are discussed.Fri, 12 Apr 2019 19:30:00 +0100(1805-4498) A robust aggregation operators for multi-criteria decision-making method with ...
http://ijfs.usb.ac.ir/article_4575_0.html
Molodtsov initiated soft set theory that provided a general mathematical framework for handling with uncertainties inwhich we encounter the data by affix parameterized factor during the information analysis as differentiated to fuzzy aswell as bipolar fuzzy set theory. The main object of this paper is to lay a foundation for providing a new application ofbipolar fuzzy soft tool in considering many problems that contain uncertainties. In present study, aggregation of bipolarfuzzy soft numbers have so far not yet been applied for ranking of alternatives in decision-making problems. To thispropose, bipolar fuzzy soft weighted arithmetic averaging (BFSWAA) operator, bipolar fuzzy soft weighted geometricaveraging (BFSWGA) operator have been used to compare two bipolar fuzzy soft numbers (BFSNs) for aggregatingdifferent bipolar fuzzy soft input arguments in bipolar fuzzy soft environment. Then, their related properties have beeninvestigated. Finally, a practical example for selection of alternatives is given to demonstrate the utility and applicationof the proposed work.Fri, 12 Apr 2019 19:30:00 +0100(1704-3630) MULTI-GRANULATION FUZZY PROBABILISTIC ROUGH SETS AND THEIR CORRESPONDING THREE-WAY ...
http://ijfs.usb.ac.ir/article_4580_0.html
This article introduces a general framework of multi-granulationfuzzy probabilistic rough sets (MG-FPRSs) models in multi-granulation fuzzyprobabilistic approximation space over two universes. Four types of MG-FPRSs are established, by the four different conditional probabilities of fuzzyevent. For different constraints on parameters, we obtain four kinds of eachtype MG-FPRSs over two universes. To find a suitable way of explainingand determining these parameters in each kind of each type MG-FPRS, three-way decisions (3WDs) are studied based on Bayesian minimum-risk procedure,i.e., the decision-theoretic rough set (DTRS) approach. The main contribu-tion of this paper is twofold. One is to extend the fuzzy probabilistic roughset (FPRS) to MG-FPRS model over two universes. Another is to present anapproach to select parameters in MG-FPRS modeling by using the process ofdecision-making under conditions of risk.Sat, 13 Apr 2019 19:30:00 +0100(1811-4864) Neuro-fuzzy Control of Bilateral Teleoperation System Using FPGA
http://ijfs.usb.ac.ir/article_4590_0.html
This paper presents an adaptive neuro-fuzzy controller ANFIS (Adaptive neuro-fuzzy inference system) for a bilateralteleoperation system based on FPGA (Field Programmable Gate Array). The proposed controller combines the learningcapabilities of neural networks with the inference capabilities of fuzzy logic, to adapt with dynamic variations in masterand slave robots and to guarantee good practical robustness against the disturbances, by adjusting neuro-fuzzy networkoutput parameters in a short time, thanks to the computing power of FPGA and its high sampling frequency. Thedesign methodology adopted to design the control algorithm aims to minimize the hardware resources used by the FPGAin order to optimize the execution and design times, and this by using the Fixed-Point Tool and HDL Coder featuresof MATLAB-Simulink. The proposed controllers were experimentally validated on a teleoperation system comprisinga pair of one degree of freedom. The experimental results clearly show that the proposed ANFIS control algorithmsignificantly outperformed the conventional control methods (PID).Mon, 15 Apr 2019 19:30:00 +0100(1808-4651) The role of states in triangle algebras
http://ijfs.usb.ac.ir/article_4593_0.html
In this paper, we enlarge the language of triangle algebra by adding a unary operation that describes properties of astate. These structure algebras are called state triangle algebra. The vital properties of these algebras are given. Thenotion of state interval-valued residuated lattice (IVRL)-filters are introduced and give some examples and propertiesof them. Using this concept, we define two types IVRL-extended σ-filters of a state triangle algebra.Mon, 15 Apr 2019 19:30:00 +0100(1803-4325) Some new variants of interval-valued Gronwall type inequalities on time scales
http://ijfs.usb.ac.ir/article_4602_0.html
By using an efficient partial order and concept of gH-differentiability on interval-valued functions, we investigate somenew variants of Gronwall type inequalities on time scales, which provide explicit bounds on unknown functions. Ourresults not only unify and extend some continuous inequalities, in addition to discrete case, all are new.Mon, 22 Apr 2019 19:30:00 +0100(1712-4133) SOLVING LR FUZZY LINEAR MATRIX EQUATION†
http://ijfs.usb.ac.ir/article_4606_0.html
In this paper, the fuzzy matrix equation A ˜XB = ˜C in which A;B are n×n crisp matricesrespectively and ˜C is an n × n arbitrary LR fuzzy numbers matrix, is investigated. A new numericalprocedure for calculating the fuzzy solution is designed and a sufficient condition for the existence ofstrong fuzzy solution is derived. Some examples are given to illustrate the proposed method.Sun, 28 Apr 2019 19:30:00 +0100(1609-3173) Robust Takagi-Sugeno sensor fault tolerant control strategy for nonlinear system
http://ijfs.usb.ac.ir/article_4655_0.html
This paper presents a robust Fault Tolerant Tracking Control (FTTC) design for nonlinear uncertain systems describedby Takagi Sugeno (T-S) fuzzy models with unmeasurable premise variables subject to sensor faults. A ProportionalIntegral Observer (PIO) is proposed to estimate the faulty states and the time-varying sensor faults. The FTTC issynthesized based on the estimation derived from the PIO with a guaranteed H∞ performance to minimize the effect ofthe external disturbance. The trajectory tracking performances and the stability of the closed loop system are analyzedbased on the Lyapunov theory and the L2 optimization. The stability condition are formulated in terms of LinearMatrix Inequality (LMI). The proposed robust FTTC is illustrated using simulation results.Tue, 14 May 2019 19:30:00 +0100(1702-3514 ) A new method for fuzzification of nested dummy variables by fuzzy clustering ...
http://ijfs.usb.ac.ir/article_4656_0.html
In this study, the aim is to propose a new method for fuzzification of nested dummy variables. The fuzzification idea ofdummy variables has been acquired from non-linear part of regime switching models in econometrics. In these models,the concept of transfer functions is like the notion of fuzzy membership functions, but no principle or linguistic sentencehave been used for inputs. Consequently, for the non-linear part including transfer function, there is no reason why thedifferent types of functions such as logistic are used. Therefore, in order to solve the aforementioned problem like theregime switching models, the transfer functions are considered for dummy variables. However, the presented transferfunctions are proposed by fuzzy clustering membership function. Finally, using fuzzy logic, the membership functionsof clusters are combined with each other and constitute the fuzzy nested regimes. The suggested model has been usedin financial data of Iran’s stock in order to examine the equity premium Puzzle. The results of using above modelhelped in modeling appropriate second-order moments in consumption capital asset pricing model.Tue, 14 May 2019 19:30:00 +0100(1805-4474)A new framework for high-technology project evaluation and project portfolio ...
http://ijfs.usb.ac.ir/article_4657_0.html
High-technology projects are known as tools that help achieving productive forces through scientific and technologicalknowledge. These knowledge-based projects are associated with high levels of risks and returns. The process of hightechnologyproject and project portfolio selection has technical complexities and uncertainties. This paper presentsa novel two-parted method of high-technology project portfolio selection. In the rst part, a new decision-makingmodel under Pythagorean fuzzy set (PFS) uncertainty is introduced that is last aggregation and avoids defuzzificationuntil the last step of the process. In the last step, a new PFS ranking method is used to make crisp and comparablevalues. Outcomes from this part form the objective function of a new integer programming (IP) of the project portfolioselection. To display the models application, data from a real case study of high-technology project evaluation andselection is presented, and the steps of the approach are illustrated in addition to presenting the efficacy of the model.Fri, 17 May 2019 19:30:00 +0100(1708-3855) Two-level supply chain for a deteriorating item with stock and promotional cost ...
http://ijfs.usb.ac.ir/article_4658_0.html
In this research work, a wholesaler-retailer-customer supply chain model for a deteriorating item is considered, wherethe retailer's warehouse in the market place has a limited capacity. The retailer can rent an additional warehouse(rented warehouse) if needed, with a higher rent compared to the existing warehouse (own warehouse). The customers'demand of the item is linearly in uenced by the stock level and in case of shortages the base demand is partiallybacklogged. Being the leader of the supply chain, the retailer introduces some promotional cost to boost the basedemand of the item. To participate in joint marketing decision, the wholesaler shares a compromise part of thispromotional cost. Goal of this research work is to maximize the individual profits (when the retailer is the leader andthe wholesaler is the follower) as well as the channel profit (when the retailer and the wholesaler jointly make marketingdecision) of the system. It is established that if the wholesaler shares a part of the promotional cost then the channelprofit as well as the individual prots increase. The supply chain model is also considered in imprecise environmentwhere different inventory parameters are fuzzy/rough in nature. In this case, the individual profits as well as thechannel prot become fuzzy/rough in nature. As optimization of fuzzy/rough objective is not well defined, followingcredibility/trust measure of fuzzy/rough event, an approach is followed for comparison of fuzzy/rough objectives and aParticle Swarm Optimization algorithm is implemented to nd the marketing decisions. Eciency of the algorithm insolving the problem is statistically established. The existence of the joint marketing decision is established analyticallyand numerically (with illustration) in crisp as well as in imprecise environments.Fri, 17 May 2019 19:30:00 +0100(1808-4631) Type-2 fuzzy logic based pitch angle controller for fixed speed wind energy system
http://ijfs.usb.ac.ir/article_4659_0.html
In this paper, an interval Type-2 fuzzy logic based pitch angle controller is proposed for fixed speed wind energy system (WES) to maintain the aerodynamic power at its rated value. The pitch angle reference is generated by the proposed controller which can compensate the non-linear characteristics of the pitch angle to the wind speed. The presence of third dimension in the Type-2 fuzzy logic controller (FLC) membership function offers an additional degree-of-freedom in the design of the Type-2 FLC controller to improve the system performance. The applicability of the proposed controller is evaluated by considering a nonlinear simulation model of the WES which is developed and implemented using OPAL-RT real time digital simulator. The results show that the proposed controller offers better performance than the conventional PI and fuzzy logic controllers.Fri, 17 May 2019 19:30:00 +0100(1806-4554) Adaptive particularly tunable fuzzy particle swarm optimization algorithm
http://ijfs.usb.ac.ir/article_4660_0.html
Particle Swarm Optimization (PSO) is a metaheuristic optimization algorithm that owes much of its allure to its simplicity and its high effectiveness in solving sophisticated optimization problems. However, since the performance of the standard PSO is prone to being trapped in local extrema, abundant variants of PSO have been proposed by far. For instance, Fuzzy Adaptive PSO (FAPSO) algorithms have been being studied extensively in recent years. In this study, a modified version of PSO algorithms is presented and is named as Adaptive Particularly Tunable Fuzzy Particle Swarm Optimization (APT-FPSO). In it, the global and personal learning coefficients of every single particle are tuned adaptively and particularly, at an individual extent, within each iteration with the aid of fuzzy logic concepts. Ample statistical evidence is provided indicating that the proposed algorithm further improves the potentialities and capabilities of the standard PSO.}Fri, 17 May 2019 19:30:00 +0100(1806-4512) A computational method to analyze the similarity of biological sequences under ...
http://ijfs.usb.ac.ir/article_4661_0.html
In this paper, we propose a new method to analyze the difference and similarity of biological sequences, based on the fuzzy set theory. Considering the sequence order and some chemical and structural properties, we present a computational method to cluster the biological sequences. By some examples, we show that the new method is relatively easy and we are able to compare the sequences of arbitrary lengths.Fri, 17 May 2019 19:30:00 +0100(1704-3632) Robustified distance based fuzzy membership function for support vector machine ...
http://ijfs.usb.ac.ir/article_4662_0.html
Fuzzification of support vector machine has been utilized to deal with outlier and noise problem. This importanceis achieved, by the means of fuzzy membership function, which is generally built based on the distance of the pointsto the class centroid. The focus of this research is twofold. Firstly, by taking the advantage of robust statisticsin the fuzzy SVM, more emphasis on reducing the impact of outliers on the generalizability of SVM has been placed.Moreover, the variety of membership function for the elliptical data has been designated, based on the classic and robustMahalanobis distance. Minimum covariance determinant and orthogonalised Gnanadesikan Kettenring estimators areemployed in the structure of the robust–fuzzy SVM. By implementing the new membership function, the disadvantagesof the traditional fuzzy membership function has been rectified. Simulated and real benchmarking data set confirm theeffectiveness of the proposed methods. Compared with the traditional SVM and fuzzy SVM, these methods give a betterperformance on reducing the effects of outliers and significantly improves the classification accuracy and generalization.Sun, 19 May 2019 19:30:00 +0100(1802-4271) Customer loyalty program based on quality function deployment with fuzzy linguistic ...
http://ijfs.usb.ac.ir/article_4793_0.html
The competition among shopping malls is getting increasingly more intense. In order to enhance corporate competitivenessand profitability, how to retain key loyal customers has become an important issue for the managers of shoppingmalls. Customer loyalty programs are a universal practice. This study proposes an analytical model for developing thestrategic management of customer loyalty programs. Based on quality function deployment, our model constructs afuzzy relational matrix to integrate the customer benefits and the customer loyalty programs. The results contributeto a better understanding of the different importance of customer benefits with respect to “Utilitarian benefits”, “Hedonicbenefits” and “Symbolic benefits”. The study’s findings provide prioritized customer loyalty programs, including“Newest information transmissions,” “Communication service specialists,” “Exclusive free gift promotions,” and “VIPlounge service,” which can be used to determine the directions for the improvement for shopping malls. The study hasimplications for the theory and for practitioners. First, it allows for the integration of customer benefits in customerloyalty programs and for the consideration of the VIP customers in the programs. Second, the requirement evaluationconsidering fuzzy linguistic preferences allows for prioritizing the customer loyalty programs when dealing with uncertaintyand vagueness. Finally, this approach helps to obtain more realistic results by integrating fuzzy decision-makinginto QFD.Sun, 30 Jun 2019 19:30:00 +0100(1811-4866) BL-general fuzzy automata and minimal realization: based on the associated categories
http://ijfs.usb.ac.ir/article_4798_0.html
The present paper is an attempt to study the minimal BL-general fuzzy automata which realizes the given fuzzybehavior. Of two methods applied for construction of such automaton presented here, one has been based on Myhill-Nerode's theory while the other has been based on derivatives of the given fuzzy behavior. Meanwhile, the categoriesof BL-general fuzzy automata and fuzzy behavior, along with a functorial relationship between them, are introduced.Tue, 02 Jul 2019 19:30:00 +0100(1810-4784) The Wijsman structure of a quantale-valued metric space
http://ijfs.usb.ac.ir/article_4875_0.html
We define and study a quantale-valued Wijsman structure on the hyperspace of all non-empty closed sets of a quantalevaluedmetric space. We show its admissibility and that the metrical coreflection coincides with the quantale-valuedHausdorff metric and that, for a metric space, the topological coreflection coincides with the classical Wijsman topology.We further define an index of compactness and show that the indices of compactness of the quantale-valued metricspace and of the hyperspaces equipped with the quantale-valued Hausdorff metric and with the quantale-valued Wijsmanstructure coincide.Sun, 01 Sep 2019 19:30:00 +0100( 1901-4968 ) On the Non-Parametric Multivariate Control Charts in Fuzzy Environment
http://ijfs.usb.ac.ir/article_4876_0.html
Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two ormore related quality characteristics is necessary. In most processes in the real world, distribution of the processcharacteristics are unknown or at least Non-normal, so the non-parametric or distribution-free charts are desirable.Most non-parametric statistical process-control techniques depend on ranks. In this survey, we apply the fuzzy settheory to deal with the circumstances that the values of each characteristic are presented in linguistic form, so wepropose non-parametric multivariate control charts based on sign and Wilcoxon signed-rank tests. The performance ofthe proposed charts is investigated in a simulation study. Numerical examples are used to demonstrate the effectivenessand performance of the proposed charts.Sun, 01 Sep 2019 19:30:00 +0100(1807-4598) Switching Fuzzy Modelling and Control Scheme Using T-S Fuzzy Systems with Nonlinear ...
http://ijfs.usb.ac.ir/article_4877_0.html
This paper extends the idea of switching T-S fuzzy systems with linear consequent parts to nonlinear ones. Eachnonlinear subsystem is exactly represented by a T-S fuzzy system with Lure type consequent parts, which allows tomodel and control wider classes of switching systems and also reduce the computation burden of control synthesis.With the use of a switching fuzzy Lyapunov function, the LMI conditions for asymptotic stability of the system withmaximum decay-rate and disturbance attenuation properties under arbitrary switching law are derived. Moreover,several numerical examples are provided to demonstrate the effectiveness of the proposed approaches to reduce thecomputational burden of control synthesis and improving the closed-loop performance of the system.Sun, 01 Sep 2019 19:30:00 +0100(1810-4770) Fuzzy Decision Making in Testing Hypotheses: An Introduction to the Packages ...
http://ijfs.usb.ac.ir/article_4878_0.html
This paper reviews and compares two R packages “FPV” and “Fuzzy.p.value”. These packages are designed fortesting hypotheses in a fuzzy environment using a fuzzy p-value based approach. In fact, the packages “FPV” and“Fuzzy.p.value” propose some useful functions for testing hypotheses when the data / hypotheses are fuzzy rather thancrisp. The proposed methods and functions have been presented together with illustrative practical examples.Sun, 01 Sep 2019 19:30:00 +0100(1810-4773) Partially continuous pretopological and topological operators for intuitionistic ...
http://ijfs.usb.ac.ir/article_4879_0.html
In this paper, pretopological and topological operators are introduced based on partially continuous linear transformationsof the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalizationof the topological operators for intuitionistic fuzzy sets. On the other hand it is a generalization of the fuzzy set pretopologicaloperators introduced by Wenzhong and Kimfung.Sun, 01 Sep 2019 19:30:00 +0100(1903-5072) Continuity of super- and sub-additive transformations of continuous functions
http://ijfs.usb.ac.ir/article_4880_0.html
We prove a continuity inheritance property for super- and sub-additive transformations of non-negative continuousmultivariate functions defined on the domain of all non-negative points and vanishing at the origin. As a corollaryof this result we obtain that super- and sub-additive transformations of continuous aggregation functions are againcontinuous aggregation functions.Sun, 01 Sep 2019 19:30:00 +0100(1812-4922) Ulam-Hyers-Rassias stability for fuzzy fractional integral equations
http://ijfs.usb.ac.ir/article_4895_0.html
In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations byemploying the fixed point technique.Sat, 14 Sep 2019 19:30:00 +0100(1904-5145) Probit and nested logit models based on fuzzy measure
http://ijfs.usb.ac.ir/article_4897_0.html
Inspired by the interactive discrete choice logit models [Aggarwal, 2019], this paper presents the advanced familiesof discrete choice models, such as nested logit, mixed logit, and probit models to consider the interaction amongthe attributes. Besides the DM’s attitudinal character is also taken into consideration in the computation of choiceprobabilities. The proposed choice models make use of Choquet integal and the recent attitudinal Choquet integral.The models are termed as Choquet nested logit (CNL), Choquet mixed multinomial logit (CMMNL), and Choquetmultinomial probit (CMP). These are further extended to represent the DM’s attitudinal character, and termed asattitudinal CNL, attitudinal CMMNL, and attitudinal CMP.Sat, 14 Sep 2019 19:30:00 +0100