Iranian Journal of Fuzzy SystemsIranian Journal of Fuzzy Systems
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Feed provided by Iranian Journal of Fuzzy Systems. Click to visit.Cover Special Issue vol. 13, no. 7, Decemberr 2016
http://ijfs.usb.ac.ir/article_2949_366.html
Thu, 29 Dec 2016 20:30:00 +0100SYSTEM MODELING WITH FUZZY MODELS: FUNDAMENTAL DEVELOPMENTS AND PERSPECTIVES
http://ijfs.usb.ac.ir/article_2940_366.html
In this study, we offer a general view at the area of fuzzy modeling and fuzzymodels, identify the visible development phases and elaborate on a new and promisingdirections of system modeling by introducing a concept of granular models. Granularmodels, especially granular fuzzy models constitute an important generalization of existingfuzzy models and, in contrast to the existing models, generate results in the form ofinformation granules (such as intervals, fuzzy sets, rough sets and others). We present arationale and deliver some key motivating arguments behind the emergence of granularmodels and discuss their underlying design process. Central to the development of granularmodels are granular spaces, namely a granular space of parameters of the models and agranular input space. The development of the granular model is completed through anoptimal allocation of information granularity, which optimizes criteria of coverage andspecificity of granular information. The emergence of granular models of type-2 and type-n,in general, is discussed along with an elaboration on their formation. It is shown thatachieving a sound coverage-specificity tradeoff (compromise) is of paramount relevance inthe realization of the granular models.Fri, 30 Dec 2016 20:30:00 +0100ON THE COMPATIBILITY OF A CRISP RELATION WITH A FUZZY EQUIVALENCE RELATION
http://ijfs.usb.ac.ir/article_2941_366.html
In a recent paper, De Baets et al. have characterized the fuzzytolerance and fuzzy equivalence relations that a given strict order relation iscompatible with. In this paper, we generalize this characterization by consideringan arbitrary (crisp) relation instead of a strict order relation, while payingattention to the particular cases of a reflexive or irreflexive relation. The reasoninglargely draws upon the notion of the clone relation of a (crisp) relation,introduced recently by Bouremel et al., and the partition of this clone relationin terms of three different types of pairs of clones. More specifically, reflexive related clones and irreflexive unrelated clones turn out to play a key role in thecharacterization of the fuzzy tolerance and fuzzy equivalence relations that agiven (crisp) relation is compatible with.Thu, 29 Dec 2016 20:30:00 +0100DC-DC CONVERTER WITH FUZZY CONTROLLER FOR SOLAR CELL APPLICATIONS ON MOBILE ROBOTS
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Emerging technologies increase the needs on self efficient mobile robotic applications that bring a new concern of sustainable and continuous power supply for the robotic platforms. This paper covers the various techniques and technologies used to design a solar powered robot, exploring the currently available products, software and limitations to this application. The main aim is to integrate a fuzzy logic based charging system which allows the batteries to be charged from solar panels, wall outlet, and a deploy-able solar charging station. The goal of this paper is to summarize the tested methods and results to expedite future researchers in the correct direction. This paper will cover only up to the design of the DC-DC converter and simulation, as further work is still pending implementation on actual hardware.Simulations results are provided to evaluate the feasibility of the paper for future implementations.Fri, 30 Dec 2016 20:30:00 +0100A NOTE TO INTERPRETABLE FUZZY MODELS AND THEIR LEARNING
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In this paper we turn the attention to a well developed theory of fuzzy/lin-guis-tic models that are interpretable and, moreover, can be learned from the data.We present four different situations demonstrating both interpretability as well as learning abilities of these models.Thu, 29 Dec 2016 20:30:00 +0100MINING FUZZY TEMPORAL ITEMSETS WITHIN VARIOUS TIME INTERVALS IN QUANTITATIVE DATASETS
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This research aims at proposing a new method for discovering frequent temporal itemsets in continuous subsets of a dataset with quantitative transactions. It is important to note that although these temporal itemsets may have relatively high textit{support} or occurrence within particular time intervals, they do not necessarily get similar textit{support} across the whole dataset, which makes it almost impossible to extract them using the existing traditional algorithms. This paper directly addresses this problem and introduces a new algorithm called Fuzzy Solid Linguistic Itemset Mining (FSLIM) to discover Solid Linguistic Itemsets (SLIs) within a quantitative dataset. SLI is a new concept introduced here as an essential part of the solution presented in this paper. The proposed method consists of two phases. In the first phase, fuzzy set theory is used to transform each quantitative value to a linguistic item; and in the second phase, all SLIs are extracted. Finally, the efficiency of FSLIM is compared in terms of execution time, scalability and the number of frequent patterns with those of two classic approaches on synthetic datasets. The proposed approach is also applied to an actual Mashhad Urban Traffic dataset in order to illustrate FSLIM's ability in discovering the hidden knowledge that could not be extracted by traditional methods.Thu, 29 Dec 2016 20:30:00 +0100SOLUTION-SET INVARIANT MATRICES AND VECTORS IN FUZZY RELATION INEQUALITIES BASED ON ...
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Fuzzy relation inequalities based on max-F composition are discussed, where F is a binary aggregation on [0,1]. For a fixed fuzzy relation inequalities system $ A circ^{F}textbf{x}leqtextbf{b}$, we characterize all matrices $ A^{'} $ For which the solution set of the system $ A^{' } circ^{F}textbf{x}leqtextbf{b}$ is the same as the original solution set. Similarly, for a fixed matrix $ A $, the possible perturbations $ b^{'} $ of the right-hand side vector $ b $ not modifying the original solution set are determined. Several illustrative examples are included to clarify the results of the paper.Thu, 29 Dec 2016 20:30:00 +0100AN OBSERVER-BASED INTELLIGENT DECENTRALIZED VARIABLE STRUCTURE CONTROLLER FOR NONLINEAR ...
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In this paper, an observer based fuzzy adaptive controller (FAC) is designed fora class of large scale systems with non-canonical non-affine nonlinear subsystems. It isassumed that functions of the subsystems and the interactions among subsystems areunknown. By constructing a new class of state observer for each follower, the proposedconsensus control method solves the problem of unmeasured states of nonlinear noncanonicalnon-affine subsystems. The main characteristics of the proposed observer-basedintelligent controller are: 1) on-line adaptation of the controller and the observer parameters,2) ultimate boundedness of both the output and the observer errors, 3) boundedness of allsignals involved, 4) employing experts’ knowledge in the controller design procedure and 5)chattering avoidance. The simulation results are further carried out to demonstrate better theeffectiveness of the proposed fuzzy based consensus controller method.Thu, 29 Dec 2016 20:30:00 +0100MINIMAL AND STATEWISE MINIMAL INTUITIONISTIC GENERAL L-FUZZY AUTOMATA
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In this note, by considering the notions of the intuitionistic general L-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{L}$, there exists a minimal intuitionistic general L-fuzzy automaton recognizing $mathcal{L}$.We prove that the minimal intuitionistic general L-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, beta)$-reduced max-min intuitionistic general L-fuzzy automaton.%Also, we prove that the minimal intuitionistic general L-fuzzy automaton is an $(alpha, beta)$-reduced.Also, we show that for any strong deterministic max-min intuitionistic general L-fuzzy automaton there exists a statewise $(alpha, beta)$-minimal intuitionistic general L-fuzzy automaton.In particular, a connection between the minimal and statewise $(alpha, beta)$-minimal intuitionistic general L-fuzzy automaton is presented.%We show if $tilde{F}^*$ is an $(alpha, beta)$-complete $(alpha, beta)$-accessible deterministic max-min intuitionistic general L-fuzzy automaton and it is recognizing $(alpha, beta)$-language $mathcal{L}$, then the minimal $tilde{F}^*_{mathcal{L}}$ is homomorphism with threshold $(alpha, beta)$ to statewise $(alpha, beta)$-minimal $tilde{F}_{m}^*$, where $tilde{F}_{m}^*$ is statewise $(alpha, beta)$-equivalent to $tilde{F}^*$.Also, for a given intuitionistic general L-fuzzy automaton, we present two algorithms, which determinesstates of the minimal intuitionistic general L-fuzzy automaton and the statewise $(alpha, beta)$-minimal intuitionistic general L-fuzzy automaton.Finally, by giving some examples, we comparison minimal intuitionistic general L-fuzzy automaton and statewise $(alpha, beta)$-minimal intuitionistic general L-fuzzy automaton.Thu, 29 Dec 2016 20:30:00 +0100SOFT TOPOLOGY AND SOFT PROXIMITY AS FUZZY PREDICATES BY FORMULAE OF LUKASIEWICZ LOGIC
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In this paper, based in the L ukasiewicz logic, the definition offuzzifying soft neighborhood structure and fuzzifying soft continuity areintroduced. Also, the fuzzifying soft proximity spaces which are ageneralizations of the classical soft proximity spaces are given. Severaltheorems on classical soft proximities are special cases of the theorems weprove in this paper.Thu, 29 Dec 2016 20:30:00 +0100Persian-translation vol. 13, no. 7, Decemberr 2016
http://ijfs.usb.ac.ir/article_2950_366.html
Thu, 29 Dec 2016 20:30:00 +0100$M$-fuzzifying interval spaces
http://ijfs.usb.ac.ir/article_2615_0.html
In this paper, we introduce the notion of $M$-fuzzifying interval spaces, and discuss the relationship between $M$-fuzzifying interval spaces and $M$-fuzzifying convex structures.It is proved that the category {bf MYCSA2} can be embedded in the category {bf MYIS} as a reflective subcategory, where {bf MYCSA2} and {bf MYIS} denote the category of $M$-fuzzifying convex structures of $M$-fuzzifying arity $leq 2$ and the category of $M$-fuzzifying interval spaces, respectively. Under the framework of $M$-fuzzifying interval spaces, subspaces and product spaces are presented and some of their fundamental properties are obtained.Sat, 05 Nov 2016 20:30:00 +0100Structural properties of fuzzy graphs
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Matroids are important combinatorial structures and connect closelywith graphs. Matroids and graphs were all generalized to fuzzysetting respectively. This paper tries to study connections betweenfuzzy matroids and fuzzy graphs. For a given fuzzy graph, we firstinduce a sequence of matroids from a sequence of crisp graph, i.e.,cuts of the fuzzy graph. A fuzzy matroid, named graph fuzzy matroid,is then constructed by using the sequence of matroids. An equivalentdescription of graphic fuzzy matroids is given and their propertiesof fuzzy bases and fuzzy circuits are studied.Sun, 06 Nov 2016 20:30:00 +0100Counting distinct fuzzy subgroups of some rank-3 abelian groups
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In this paper we classify fuzzy subgroups of a rank-3 abelian group $G = mathbb{Z}_{p^n} + mathbb{Z}_p + mathbb{Z}_p$ for any fixed prime $p$ and any positive integer $n$, using a natural equivalence relation given in cite{mur:01}. We present and prove explicit polynomial formulae for the number of (i) subgroups, (ii) maximal chains of subgroups, (iii) distinct fuzzy subgroups, (iv) non-isomorphic maximal chains of subgroups and (v) classes of isomorphic fuzzy subgroups of $G$. Illustrative examples are provided.Sun, 06 Nov 2016 20:30:00 +0100Formal balls in fuzzy partial metric spaces
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In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.Sun, 06 Nov 2016 20:30:00 +0100Soft Computing Based on a Modified MCDM Approach under Intuitionistic Fuzzy Sets
http://ijfs.usb.ac.ir/article_2620_0.html
The current study set to extend a new VIKOR method as a compromise ranking approach to solve multiple criteria decision-making (MCDM) problems through intuitionistic fuzzy analysis. Using compromise method in MCDM problems contributes to the selection of an alternative as close as possible to the positive ideal solution and far away from the negative ideal solution, concurrently. Using Atanassov intuitionistic fuzzy sets (A-IFSs) may simultaneously express the degree of membership and non-membership to decision makers (DMs) to describe uncertain situations in decision-making problems. The proposed intuitionistic fuzzy VIKOR indicates the degree of satisfaction and dissatisfaction of each alternative with respect to each criterion and the relative importance of each criterion, respectively, by degrees of membership and non-membership. Thus, the ratings for the importance of criteria, DMs, and alternatives are in linguistic variables and expressed in intuitionistic fuzzy numbers. Using IFS aggregation operators and with respect to subjective judgment and objective information, the most suitable alternative is indicated among potential alternatives. Moreover, practical examples illustrate the procedure of the proposed method.Sun, 06 Nov 2016 20:30:00 +0100SOME TOPOLOGICAL PROPERTIES OF SPECTRUM OF FUZZY SUBMODULES
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Let R be a commutative ring with identity andM be an R-module.Let FSpec(M) denote the collection of all prime fuzzy submodules of M. Inthis regards some basic properties of Zariski topology on FSpec(M) are in-vestigated. In particular, we prove some equivalence conditions for irreduciblesubsets of this topological space and it is shown that under certain conditionsFSpec(M) is a T0-space or Hausdorff.Thu, 29 Dec 2016 20:30:00 +0100S-approximation Spaces: A Fuzzy Approach
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In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and maximum rejection error, these spaces are interpreted in three-way decision systems by defining the corresponding positive, negative and boundary regions.Mon, 19 Dec 2016 20:30:00 +0100Probabilistic Normed Groups
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In this paper, we introduce the probabilistic normed groups. Among other results, we investigate the continuityof inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. We also study midconvex functions defined on probabilistic normed groups and give some results about locally boundedness of such functions.Sun, 04 Dec 2016 20:30:00 +0100Support vector regression with random output variable and probabilistic constraints
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Support Vector Regression (SVR) solves regression problems based on the concept of Support Vector Machine (SVM). In this paper, a new model of SVR with probabilistic constraints is proposed that any of output data and bias are considered the random variable with uniform probability function. Using the new proposed method, the optimal hyperplane regression can be obtained by solving a quadratic optimization problem. The proposedmethod is illustrated by several simulated data and real datasets for both models (linear and nonlinear) with probabilistic constraints.Sun, 04 Dec 2016 20:30:00 +0100Some Results of Moments of Uncertain Random Variables
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Chance theory is a mathematical methodology for dealing with indeterminatephenomena including uncertainty and randomness.Consequently, uncertain random variable is developed to describe the phenomena which involveuncertainty and randomness.Thus, uncertain random variable is a fundamental concept in chance theory.This paper provides some practical quantities to describe uncertain random variable.The typical one is the expected value, which is the uncertain version of thecenter of gravity of a physical body.Mathematically, expectations are integrals with respect to chance distributionsor chance measures.In fact, expected values measure the center of gravity of a distribution; they aremeasures of location. In order to describe a distribution in brief terms thereexist additional measures, such as the variance which measures the dispersionor spread, and moments.For calculating the moments of uncertain random variable, some formulas are provided through chance distribution and inverse chance distribution. The main results are explained by using several examples.Sun, 04 Dec 2016 20:30:00 +0100Group Generalized Interval-valued Intuitionistic Fuzzy Soft Sets and Their Applications in\\ ...
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Interval-valued intuitionistic fuzzy sets (IVIFSs) are widely used to handle uncertainty and imprecision in decision making. However, in more complicated environment, it is difficult to express the uncertain information by an IVIFS with considering the decision-making preference. Hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (G-GIVIFSS) which contains the basic description by interval-valued intuitionistic fuzzy soft set (IVIFSS) on the alternatives and a group of experts' evaluation of it. It contributes the following threefold: 1) A generalized interval-valued intuitionistic fuzzy soft set (GIVIFSS) is proposed by introducing an interval-valued intuitionistic fuzzy parameter, which reflects a new and senior expert's opinion on the basic description. The operations, properties and aggregation operators of GIVIFSS are discussed. 2) Based on GIVIFSS, a G-GIVIFSS is then proposed to reduce the impact of decision-making preference by introducing more parameters by a group of experts. Its important operations, properties and the weighted averaging operator are also defined. 3) A multi-attribute group decision making model based on G-GIVIFSS weighted averaging operator is built to solve the group decision making problems in the more universal IVIF environment, and two practical examples are taken to validate the efficiency and effectiveness of the proposed model.Sun, 04 Dec 2016 20:30:00 +0100On local Hudetz $g$-entropy
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In this paper, a local approach to the concept of Hudetz $g$-entropy is presented. The introduced concept is stated in terms of Hudetz $g$-entropy. This representation is based on the concept of $g$-ergodic decomposition which is a result of the Choquet's representation Theorem for compact convex metrizable subsets of locally convex spaces.Sun, 04 Dec 2016 20:30:00 +0100A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers
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In this paper, we determine necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a double sequence of fuzzy numbers follows from its $(C,1,1)$ summability. These conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. We also construct some interesting double sequences of fuzzy numbers.Sun, 04 Dec 2016 20:30:00 +0100IMPLICATIONS, COIMPLICATIONS AND LEFT SEMI-UNINORMS ON A COMPLETE LATTICE
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In this paper, we firstly show that the N-dual operation of theright residual implication, which is induced by a left-conjunctive right arbitrary_-distributive left semi-uninorm, is the right residual coimplication inducedby its N-dual operation. As a dual result, the N-dual operation ofthe right residual coimplication, which is induced by a left-disjunctive rightarbitrary ^-distributive left semi-uninorm, is the right residual implicationinduced by its N-dual operation. Then, we demonstrate that the N-dualoperations of the left semi-uninorms induced by an implication and a coimplication,which satisfy the neutrality principle, are the left semi-uninorms.Finally, we reveal the relationships between conjunctive right arbitrary _-distributive left semi-uninorms induced by implications and disjunctive rightarbitrary ^-distributive left semi-uninorms induced by coimplications, whereboth implications and coimplications satisfy the neutrality principle.Thu, 29 Dec 2016 20:30:00 +0100FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES
http://ijfs.usb.ac.ir/article_2770_0.html
In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.Thu, 29 Dec 2016 20:30:00 +0100A JOINT DUTY CYCLE SCHEDULING AND ENERGY AWARE ROUTING APPROACH BASED ON EVOLUTIONARY GAME FOR ...
http://ijfs.usb.ac.ir/article_2771_0.html
Network throughput and energy conservation are two conflicting important performance metrics for wireless sensor networks. Since these two objectives are in conflict with each other, it is difficult to achieve them simultaneously. In this paper, a joint duty cycle scheduling and energy aware routing approach is proposed based on evolutionary game theory which is called DREG. Making a trade-off between energy conservation and network throughput, the proposed approach prolongs the network lifetime. The paper is divided into the following sections: Initially, the discussion is presented on how the sensor nodes can be scheduled to sleep or wake up in order to reduce energy consumption in idle listening. The sensor wakeup/sleep scheduling problem with multiple objectives is formulated as an evolutionary game theory. Then, the evolutionary game theory is applied to find an optimal wakeup/sleep scheduling policy, based on a trade-off between network throughput and energy efficiency for each sensor. The evolutionary equilibrium is proposed as a solution for this game. In addition, a routing approach is adopted to propose an energy aware fuzzy logic in order to prolong the network lifetime. The results show that the proposed routing approach balances energy consumption among the sensor nodes in the network, avoiding rapid energy depletion of sensors that have less energy. The proposed simulation study shows the more efficient performance of the proposed system than other methods in term of network lifetime and throughput.Thu, 29 Dec 2016 20:30:00 +0100MULTI-OBJECTIVE ROUTING AND SCHEDULING IN FLEXIBLE MANUFACTURING SYSTEMS UNDER UNCERTAINTY
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The efficiency of transportation system management plays an important role in the planning and operation efficiency of flexible manufacturing systems. Automated Guided Vehicles (AGV) are part of diversified and advanced techniques in the field of material transportation which have many applications today and act as an intermediary between operating and storage equipment and are routed and controlled by an intelligent computer system. In this study, a two-objective mathematical programming model is presented to integrate flow shop scheduling and routing AVGs in a flexible manufacturing system. In real-life problems parameters like demand, due dates and processing times are always uncertain. Therefore, in order to solve a realistic problem, foregoing parameters are considered as fuzzy in our proposed model. Subsequently, to solve fuzzy mathematical programming model, one of the most effective technique in the literature is used. To solve the problem studied, two meta-heuristic algorithms of Non-dominated Sorting Genetic Algorithm-II (NSGAII) and multi-objective particle swarm optimization (MOPSO) are offered that the accuracy of mathematical models and efficiency of algorithms provided are assessed through numerical examples.Tue, 29 Nov 2016 20:30:00 +0100FIXED POINT THEOREMS FOR ORDERED CONTRACTIVE MAPPINGS IN THE WEAK NON-ARCHIMEDEAN FUZZY METRIC ...
http://ijfs.usb.ac.ir/article_2788_0.html
In this paper, the author establishes some fixed point theorems fornonlinear contractive operators in the partially ordered weak non-Archimedeanfuzzy metric spaces. A fuzzy extension theorem of Boyd and Wong's nonlinearcontraction theorem is presented. As a consequence, our main results improvedand generalized some recent coupled fixed point theorems and coincidencepoint theorems.Sat, 09 Dec 2017 20:30:00 +0100ON THE SYSTEM OF LEVEL-ELEMENTS INDUCED BY AN L-SUBSET
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This paper focuses on the relationship between an L-subset andthe system of level-elements induced by it, where the underlying lattice L isa complete residuated lattice and the domain set of L-subset is an L-partiallyordered set (X, P). Firstly, we obtain the sufficient and necessary conditionthat an L-subset is represented by its system of level-elements. Then, a newrepresentation theorem of intersection-preserving L-subsets is shown by usingunion-preserving system of elements. At last, another representation theoremof compatible intersection-preserving L-subsets is obtained by means ofcompatible union-preserving system of elements.Sat, 09 Dec 2017 20:30:00 +0100ROBUST FUZZY CONTROL DESIGN USING GENETIC ALGORITHM OPTIMIZATION APPROACH: CASE STUDY OF SPARK ...
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In the case of widely-uncertain non-linear system control design,it was very difficult to design a single controller to overcome control designspecifications in all of its dynamical characteristics uncertainties. To resolvethese problems, a new design method of robust fuzzy control proposed. Thesolution offered was by creating multiple soft-switching with Takagi-Sugenofuzzy model for optimal solution control at all operating points that generateuncertainties. Optimal solution control at each operating point was calculatedusing genetic algorithm. A case study of engine torque control of spark ignitionengine model was used to prove this new method of robust fuzzy control design.From the simulation results, it can be concluded that the controller operatesvery well for a wide uncertainty.Sat, 09 Dec 2017 20:30:00 +0100STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES
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In this paper, we define the notion of (dual) multi-fuzzy normedspaces and describe some properties of them. We then investigate Ulam-Hyersstability of Jensen’s functional equation for mappings from linear spaces intomulti-fuzzy normed spaces. We establish an asymptotic behavior of the Jensenequation in the framework of multi-fuzzy normed spaces.Sat, 09 Dec 2017 20:30:00 +0100FUZZY PREORDERED SET, FUZZY TOPOLOGY AND FUZZY AUTOMATON BASED ON GENERALIZED RESIDUATED LATTICE
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This work is towards the study of the relationship between fuzzypreordered sets and Alexandrov (left/right) fuzzy topologies based on gener-alized residuated lattices here the fuzzy sets are equipped with generalizedresiduated lattice in which the commutative property doesn't hold. Further,the obtained results are used in the study of fuzzy automata theory.Sat, 09 Dec 2017 20:30:00 +0100GRADED DIUNIFORMITIES
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Graded ditopological texture spaces have been presented and discussedin categorical aspects by Lawrence M. Brown and Alexander Sostakin [7]. In this paper, the authors generalize the structure of diuniformity inditopological texture spaces defined in [13] to the graded ditopological texturespaces and investigate graded ditopologies generated by graded diuniformities.The autors also compare the properties of diuniformities and graded diuniformities.Sat, 09 Dec 2017 20:30:00 +0100M-FUZZIFYING MATROIDS INDUCED BY M-FUZZIFYING CLOSURE OPERATORS
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In this paper, the notion of closure operators of matroids is gen-eralized to fuzzy setting which is called M-fuzzifying closure operators, andsome properties of M-fuzzifying closure operators are discussed. The M-fuzzifying matroid induced by an M-fuzzifying closure operator can induce anM-fuzzifying closure operator. Finally, the characterizations of M-fuzzifyingacyclic matroids are given.Sat, 09 Dec 2017 20:30:00 +0100SELECTIVE GROUPOIDS AND FRAMEWORKS INDUCED BY FUZZY SUBSETS
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In this paper, we show that every selective groupoid induced by afuzzy subset is a pogroupoid, and we discuss several properties in quasi orderedsets by introducing the notion of a framework.Sat, 09 Dec 2017 20:30:00 +0100INFORMATION MEASURES BASED TOPSIS METHOD FOR MULTICRITERIA DECISION MAKING PROBLEM IN ...
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In the fuzzy set theory, information measures play a paramountrole in several areas such as decision making, pattern recognition etc. In thispaper, similarity measure based on cosine function and entropy measures basedon logarithmic function for IFSs are proposed. Comparisons of proposed simi-larity and entropy measures with the existing ones are listed. Numerical resultslimpidly betoken the efficiency of these measures over others. An intuitionisticfuzzy weighted measures (IFWM) with TOPSIS method for multi-criteria de-cision making (MCDM) quandary is introduced to grade the alternatives. Thisapproach is predicated on entropy and weighted similarity measures for IFSs.An authentic case study is discussed to rank the four organizations. To com-pare the different rankings, a portfolio selection problem is considered. Variousportfolios have been constructed and analysed for their risk and return. It hasbeen examined that if the portfolios are developed using the ranking obtainedwith proposed method, the return is increased with slight increment in risk.Sat, 09 Dec 2017 20:30:00 +0100SOME FIXED POINT RESULTS FOR ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN FUZZY METRIC SPACES
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In this paper, we introduce the notions of fuzzy -Geraghty con-traction type mapping and fuzzy -'-contractive mapping and establish someinteresting results on the existence and uniqueness of fixed points for these twotypes of mappings in the setting of fuzzy metric spaces and non-Archimedeanfuzzy metric spaces. The main results of our work generalize and extend someknown comparable results in the literature. Furthermore, several illustrativeexamples are given to support the usability of our obtained results.Fri, 17 Feb 2017 20:30:00 +0100A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES
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We develop a general framework for various lattice-valued, probabilisticand approach uniform convergence spaces. To this end, we use theconcept of s-stratified LM-filter, where L and M are suitable frames. A stratified LMN-uniform convergence tower is then a family of structures indexedby a quantale N. For different choices of L;M and N we obtain the latticevalued,probabilistic and approach uniform convergence spaces as examples.We show that the resulting category sLMN-UCTS is topological, well-fibredand Cartesian closed. We furthermore define stratified LMN-uniform towerspaces and show that the category of these spaces is isomorphic to the subcategoryof stratified LMN-principal uniform convergence tower spaces. Finallywe study the underlying stratified LMN-convergence tower spaces.Fri, 17 Feb 2017 20:30:00 +0100TAUBERIAN THEOREMS FOR THE EULER-NORLUND MEAN-CONVERGENT SEQUENCES OF FUZZY NUMBERS
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Fuzzy set theory has entered into a large variety of disciplines ofsciences, technology and humanities having established itself as an extremelyversatile interdisciplinary research area. Accordingly different notions of fuzzystructure have been developed such as fuzzy normed linear space, fuzzy topologicalvector space, fuzzy sequence space etc. While reviewing the literature infuzzy sequence space, we have seen that the notion of Tauberian theorems forthe Euler-N¨orlund mean-convergent sequences of fuzzy numbers has not beendeveloped. In the present paper, we introduce some new concepts about statisticalconvergence of sequences of fuzzy numbers. The main purpose of thispaper is to study Tauberian theorems for the Euler-N¨orlund mean-convergentsequences of fuzzy numbers and investigate some other kind of convergencesnamed Euler-N¨orlund mean-level convergence so as to fill up the existing gapsin the literature. The results which we obtained in this study are much moregeneral than those obtained by others.Fri, 17 Feb 2017 20:30:00 +0100THE CATEGORY OF ⊤-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS
http://ijfs.usb.ac.ir/article_2987_0.html
In this paper, we define a kind of lattice-valued convergence spacesbased on the notion of ⊤-filters, namely ⊤-convergence spaces, and show thecategory of ⊤-convergence spaces is Cartesian-closed. Further, in the latticevalued context of a complete MV -algebra, a close relation between the categoryof ⊤-convergence spaces and that of strong L-topological spaces is established.In details, we show that the category of strong L-topological spacesis concretely isomorphic to that of strong L-topological ⊤-convergence spacescategorically and bireflectively embedded in that of ⊤-convergence spaces.Fri, 17 Feb 2017 20:30:00 +0100MULTI CLASS BRAIN TUMOR CLASSIFICATION OF MRI IMAGES USING HYBRID STRUCTURE DESCRIPTOR AND ...
http://ijfs.usb.ac.ir/article_2988_0.html
Medical Image segmentation is to partition the image into a set of regions that are visually obvious and consistent with respect to some properties such as gray level, texture or color. Brain tumor classification is an imperative and difficult task in cancer radiotherapy. The objective of this research is to examine the use of pattern classification methods for distinguishing different types of brain tumors, such as primary gliomas from metastases, and also for grading of gliomas. Manual classification results look better because it involves human intelligence but the disadvantage is that the results may differ from one person to another person and takes long time. MRI image based automatic diagnosis method is used for early diagnosis and treatment of brain tumors. In this article, fully automatic, multi class brain tumor classification approach using hybrid structure descriptor and Fuzzy logic based Pair of RBF kernel support vector machine is developed. The method was applied on a population of 102 brain tumors histologically diagnosed as Meningioma (115), Metastasis (120), Gliomas grade II (65) and Gliomas grade II (70). Classification accuracy of proposed system in class 1(Meningioma) type tumor is 98.6%, class 2 (Metastasis) is 99.29%, class 3(Gliomas grade II) is 97.87% and class 4(Gliomas grade III) is 98.6%.Fri, 17 Feb 2017 20:30:00 +0100BATHTUB HAZARD RATE DISTRIBUTIONS AND FUZZY LIFE TIMES
http://ijfs.usb.ac.ir/article_2989_0.html
The development of life time analysis started back in the $20^{textit{th}}$ century and since then comprehensive developments have been made to model life time data efficiently. Recent development in measurements shows that all continuous measurements can not be measured as precise numbers but they are more or less fuzzy. Life time is also a continuous phenomenon, and has already been shown that life time observations are not precise measurements but fuzzy. Therefore, the corresponding analysis techniques employed on the data require to consider fuzziness of the observations to obtain appropriate estimates.In this study generalized estimators for the parameters and hazard rates are proposed for bathtub failure rate distributions to model fuzzy life time data effectively.Fri, 17 Feb 2017 20:30:00 +0100GENERAL FUZZY AUTOMATA BASED ON COMPLETE RESIDUATED LATTICE-VALUED
http://ijfs.usb.ac.ir/article_2990_0.html
The present paper has been an attempt to investigate the general fuzzy automata on the basis of complete residuated lattice-valued ($L$-GFAs). The study has been chiefly inspired from the work by Mockor cite{15, 16, 17}. Regarding this, the categorical issue of $L$-GFAs has been studied in more details. The main issues addressed in this research include: (1) investigating the relationship between the category of $L$-GFAs and the category of non-deterministic automata (NDAs); as well as the relationship between the category of generalized $L$-GFAs and the category of NDAs; (2) demonstrating the existence of isomorphism between the category of $L$-GFAs and the subcategory of generalized $L$-GFAs and between the category of $L$-GFAs and the category of sets of NDAs; (3) and further scrutinizing some specific relationship between the output $L$-valued subsets of generalized $L$-GFAs and the output $L$-valued of NDAs.Fri, 17 Feb 2017 20:30:00 +0100SOME COMPUTATIONAL RESULTS FOR THE FUZZY RANDOM VALUE OF LIFE ACTUARIAL LIABILITIES
http://ijfs.usb.ac.ir/article_2991_0.html
The concept of fuzzy random variable has been applied in several papers to model the present value of life insurance liabilities. It allows the fuzzy uncertainty of the interest rate and the probabilistic behaviour of mortality to be used throughout the valuation process without any loss of information. Using this framework, and considering a triangular interest rate, this paper develops closed expressions for the expected present value and its defuzzified value, the variance and the distribution function of several well-known actuarial liabilities structures, namely life insurances, endowments and life annuities.Fri, 17 Feb 2017 20:30:00 +0100ARITHMETIC-BASED FUZZY CONTROL
http://ijfs.usb.ac.ir/article_2992_0.html
Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence function via arithmetical operators. Defuzzification is the optimum value of the resultant membership function. The left and right hand sides of the membership function will be handled separately. Here, we present a new ABFC (Arithmetic Based Fuzzy Control) algorithm based on arithmetic operations which use a new defuzzification approach. The solution is much smoother, more accurate, and much faster than the classical Mamdani controller.Fri, 17 Feb 2017 20:30:00 +0100K-FLAT PROJECTIVE FUZZY QUANTALES
http://ijfs.usb.ac.ir/article_3006_0.html
In this paper, we introduce the notion of {bf K}-flatprojective fuzzy quantales, and give an elementary characterizationin terms of a fuzzy binary relation on the fuzzy quantale. Moreover,we prove that {bf K}-flat projective fuzzy quantales are preciselythe coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {bf K} as examples.Sat, 18 Feb 2017 20:30:00 +0100OPTIMAL LOT-SIZING DECISIONS WITH INTEGRATED PURCHASING, MANUFACTURING AND ASSEMBLING FOR ...
http://ijfs.usb.ac.ir/article_3007_0.html
This work applies fuzzy sets to the integration of purchasing, manufacturing and assembling of production planning decisions with multiple suppliers, multiple components and multiple machines in remanufacturing systems. The developed fuzzy multi-objective linear programming model (FMOLP) simultaneously minimizes total costs, total $text{CO}_2$ emissions and total lead time with reference to customer demand, due date, supplier/manufacturer capacity, lot-size release and machine yield. The proposed FMOLP model provides a recoverable remanufacturing framework that facilitates fuzzy decision-making, enabling the decision maker (DM) to adjust interactively the membership function or parameters during the solution procedure to obtain a preferred and satisfactory solution. To test of the model, it was implemented in various scenarios with a remanufacturing production system. The analytical results in this work can help planner by enabling systematic analysis of the cost-effectiveness of remanufacturing systems and their potential for improving $text{CO}_2$ emissions and lead time in terms of remanufacturing planning. Future investigations may apply the related patterns of non-linear membership functions to develop an actual remanufacturing planning decision.Sat, 18 Feb 2017 20:30:00 +0100DISTINGUISHABILITY AND COMPLETENESS OF CRISP DETERMINISTIC FUZZY AUTOMATA
http://ijfs.usb.ac.ir/article_3008_0.html
In this paper, we introduce and study notions like state-linebreak distinguishability, input-distinguishability and output completeness of states of a crisp deterministic fuzzy automaton. We show that for each crisp deterministic fuzzy automaton there corresponds a unique (up to isomorphism), equivalent distinguished crisp deterministic fuzzy automaton. Finally, we introduce two axioms related to output completeness of states and discuss the interrelationship between them.Sat, 18 Feb 2017 20:30:00 +0100AN OPTIMAL FUZZY SLIDING MODE CONTROLLER DESIGN BASED ON PARTICLE SWARM OPTIMIZATION AND USING ...
http://ijfs.usb.ac.ir/article_3009_0.html
This paper addresses the problems caused by an inappropriate selection of sliding surface parameters in fuzzy sliding mode controllers via an optimization approach. In particular, the proposed method employs the parallel distributed compensator scheme to design the state feedback based control law. The controller gains are determined in offline mode via a linear quadratic regular. The particle swarm optimization is incorporated into the linear quadratic regular technique for determining the optimal weight matrices. Consequently, an optimal sliding surface is obtained using the scalar $sign$ function. This latter is used to design the proposed control law. Finally, the effectiveness of the proposed fuzzy sliding mode controller based on parallel distributed compensator and using particle swarm optimization is evaluated by comparing the obtained results with other reported in literature.Sat, 18 Feb 2017 20:30:00 +0100CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS
http://ijfs.usb.ac.ir/article_3010_0.html
In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. We discuss the relationship between degree of a vertex and degree of an edge in an $m-$polar fuzzy graph. We investigate edge irregularity on a path on $2n$ vertices and barbell graph $B_{n,n}.$ We also present an application of $m-$polar fuzzy graph to decision making.Sat, 18 Feb 2017 20:30:00 +0100STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES
http://ijfs.usb.ac.ir/article_3011_0.html
$Rsb{0}$-algebras, which were proved to be equivalent to Esteva and Godo's NM-algebras modelled by Fodor's nilpotent minimum t-norm,are the equivalent algebraic semantics of the left-continuous t-norm based fuzzy logic firstly introduced by Guo-jun Wang in the mid 1990s.In this paper, we first establish a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras and the category of three-valued Stone spaces.Then we extend Flaminio-Montagna internal states to $Rsb{0}$-algebras.Such internal states must be idempotent MV-endomorphisms of $Rsb{0}$-algebras.Lastly we present a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras with Flaminio-Montagna internal statesand the category of three-valued Stone spaces with Zadeh type idempotent continuous endofunctions.These dualities provide a topological viewpoint for better understanding of the algebraic structures of $Rsb{0}$-algebras.Sat, 18 Feb 2017 20:30:00 +0100INTERVAL-VALUED INTUITIONISTIC FUZZY SETS AND SIMILARITY MEASURE
http://ijfs.usb.ac.ir/article_3012_0.html
In this paper, the problem of measuring the degree of inclusion and similarity measure for two interval-valued intuitionistic fuzzy sets is considered. We propose inclusion and similarity measure by using order on interval-valued intuitionistic fuzzy sets connected with lexicographical order. Moreover, some properties of inclusion and similarity measure and some correlation, between them and aggregations are examined. Finally, we have included example of ranking problem in car showrooms.Sat, 18 Feb 2017 20:30:00 +0100L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE
http://ijfs.usb.ac.ir/article_3013_0.html
In this paper, the notion of $L$-convex fuzzy sublattices is introduced and their characterizations are given. Furthermore, the notion of the degree to which an $L$-subset is an $L$-convex fuzzy sublattice is proposed and its some characterizations are given. Besides, the $L$-convex fuzzy sublattice degrees of the homomorphic image and pre-image of an $L$-subset are studied. Finally, we obtain an $L$-fuzzy convexity, which is induced by the $L$-convex fuzzy sublattice degrees, in the sense of Shi and Xiu.Sat, 18 Feb 2017 20:30:00 +0100SOME COUPLED FIXED POINT RESULTS ON MODIFIED INTUITIONISTIC FUZZY METRIC SPACES AND APPLICATION ...
http://ijfs.usb.ac.ir/article_3014_0.html
In this paper, we introduce fruitful concepts of common limit range and joint common limit range for coupled mappings on modified intuitionistic fuzzy metric spaces. An illustrations are also given to justify the notion of common limit range and joint common limit range property for coupled maps. The purpose of this paper is to prove fixed point results for coupled mappings on modified intuitionistic fuzzy metric spaces. Moreover, we extend the notion of common limit range property and E.A property for coupled maps on modified intuitionistic fuzzy metric spaces. As an application, we extend our main result to integral type contraction condition and also for finite number of mappings on modified intuitionistic fuzzy metric spaces.Sat, 18 Feb 2017 20:30:00 +0100