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 17-5 October 2020
http://ijfs.usb.ac.ir/article_5516_698.html
Wed, 30 Sep 2020 20:30:00 +0100Optimal control of linear fuzzy time-variant controlled systems
http://ijfs.usb.ac.ir/article_5509_698.html
In this paper, we study linear fuzzy time-variant optimal control systems using the generalized differentiability concept and we present the general form of optimal controls and states. Some examples are provided to illustrate our results.Wed, 30 Sep 2020 20:30:00 +0100Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state
http://ijfs.usb.ac.ir/article_5510_698.html
The classical ergodic theory hasbeen built on σ-algebras. Later the Individual ergodictheorem was studied on more general structures like MV-algebrasand quantum structures. The aim of this paper is to formulate theIndividual ergodic theorem for intuitionistic fuzzy observablesusing m-almost everywhere convergence, where m is anintuitionistic fuzzy state. We show the Kolmogorov constructionfor intuitionistic fuzzy observables, too.Wed, 30 Sep 2020 20:30:00 +0100Greedy decomposition integrals
http://ijfs.usb.ac.ir/article_5511_698.html
In this contribution we define a new class of non-linear integrals based on decomposition integrals. These integrals are motivated by greediness of many real-life situations. Another view on this new class of integrals is that it is a generalization of both the Shilkret and PAN integrals. Moreover, it can be seen as an iterated Shilkret integral. Also, an example in time-series analysis is provided.Wed, 30 Sep 2020 20:30:00 +0100Arrow theorems in the fuzzy setting
http://ijfs.usb.ac.ir/article_5512_698.html
Throughout this paper, our main idea is to analyze the Arrovian approach in a fuzzy context, paying attention to different extensions of the classical Arrow's model arising in mathematical Social Choice to aggregate preferences that the agents define on a set of alternatives. There is a wide set of extensions. Some of them give rise to an impossibility theorem as in the Arrovian classical model. But others lead to possibility results. We explore the main grounds that lead to impossibility or possibility. In this analysis, representative examples arise. One of them corresponds to an impossibility result, and the other ones allow the aggregation of fuzzy individual preferences to an individual one. We introduce new techniques for the proofs, specially for the one that leads to impossibility.Wed, 30 Sep 2020 20:30:00 +0100Solving fuzzy stochastic multi-objective programming problems based on a fuzzy inequality
http://ijfs.usb.ac.ir/article_5513_698.html
Probabilistic or stochastic programming is a framework for modeling optimization problems that involve uncertainty.In this paper, we focus on multi-objective linear programmingproblems in which the coefficients of constraints and the righthand side vector are fuzzy random variables. There are several methodsin the literature that convert this problem to a stochastic orfuzzy problem. By using a special type of fuzzy inequality, wetransform the problem into a convenient stochastic problem. Thensome known methods are applied to obtain the optimal solution.Finally, the equivalent multi-objective problem is solved by aninteractive approach. A numerical example is provided to illustrate the procedure.Wed, 30 Sep 2020 20:30:00 +0100Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian ...
http://ijfs.usb.ac.ir/article_5514_698.html
In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probability. Based on the control strategies are designed, the singular complex dynamicalnetworks are synchronized. A new class of Lyapunov-Krasovskii functional, which contains integral terms is constructed to derive the stability criteria. Some sufficient conditions for synchronization in the form of linear matrix inequality(LMI) approach. Finally, numerical example is presented to support the main results of this paper.Wed, 30 Sep 2020 20:30:00 +0100Risk-adjusted control charts based on LR-fuzzy data
http://ijfs.usb.ac.ir/article_5515_698.html
Control charts are widely used in industrial processes as well as in health sciences and particularly for monitoring the performance of cardiac surgeon or a group of surgeons based on the preoperative risk of patients. Since the preoperative risk is a vague and nonprecise variable and the anesthesiologists after checking how many risk factors a patient has, determine the risk of mortality before the surgery as a linguistic term such as low, medium, high or others like that, it is better to be considered as a fuzzy number, which can be determined by using fuzzy regression models. In this condition, we need a special chart to monitor the performance of surgeons based on these fuzzy data. In this article, we propose risk-adjusted control charts based on LR-fuzzy data and then test our conclusions on real data.Wed, 30 Sep 2020 20:30:00 +0100Extended graphs based on KM-fuzzy metric spaces
http://ijfs.usb.ac.ir/article_5517_698.html
This paper, applies the concept of KM-fuzzy metric spaces and introduces a novel concept of KM-fuzzy metric graphs based on KM-fuzzy metric spaces. This study, investigates the finite KM-fuzzy metric spaces with respect to metrics and KM-fuzzy metrics and constructs KM-fuzzy metric spaces on any given non-empty sets. It tries to extend the concept of KM-fuzzy metric spaces to a larger class of KM-fuzzy metric spaces such as union and product of KM-fuzzy metric spaces and in this regard investigates a class of products of KM-fuzzy metric graphs.Wed, 30 Sep 2020 20:30:00 +0100Design of robust fuzzy Sliding-Mode control for a class of the Takagi-Sugeno uncertain fuzzy ...
http://ijfs.usb.ac.ir/article_5518_698.html
This article presents a fuzzy sliding-mode control scheme for a class of Takagi-Sugeno (T-S) fuzzy which are subject to norm-bounded uncertainties in each subsystem. The proposed stabilization method can be adopted to explore T-S uncertain fuzzy systems (TSUFS) with various local control inputs. Firstly, a new design is proposed to transform TSUFS into sliding-mode dynamic systems.In addition, the proposed stabilization condition for the sliding-mode dynamic system can be formulated in terms of linear matrix inequalities (LMIs) using the Lyapunov functions. Finally, the validity of the proposed design strategy is demonstrated through the simulation of an inverted pendulum on a cart. According to simulation results, the performance indexes of the proposed method can achieve satisfactory results with minimum energy control effort, faster response, and zero steady-state error.Wed, 30 Sep 2020 20:30:00 +0100Multigranulation single valued neutrosophic covering-based rough sets and their applications to ...
http://ijfs.usb.ac.ir/article_5519_698.html
In this paper, three types of (philosophical, optimistic and pessimistic) multigranulation single valued neutrosophic (SVN) covering-based rough set models are presented, and these three models are applied to the problem of multi-criteria group decision making (MCGDM).Firstly, a type of SVN covering-based rough set model is proposed.Based on this rough set model, three types of multigranulation SVN covering-based rough set models under the concept of multigranulation SVN $beta$-covering approximation space are proposed, where $beta$ is a SVN number.Moreover, the connections among these four models are investigated.Secondly, some conditions under which different multigranulation SVN $beta$-covering approximation spaces induced the same multigranulation SVN covering approximation operators are presented.Finally, three novel methods are presented to MCGDM problems under the multigranulation SVN covering-based rough set models.Furthermore, the proposed MCGDM methods are compared with other methods through a problem about paper defect diagnosis.Wed, 30 Sep 2020 20:30:00 +0100Fuzzy decision in testing hypotheses by fuzzy data: Two case studies
http://ijfs.usb.ac.ir/article_5520_698.html
In testing hypotheses, we may confront with cases where data are recorded as non-precise (fuzzy) rather than crisp. In such situations, the classical methods of testing hypotheses are not capable and need to be generalized. In solving the problem of testing hypotheses based on fuzzy data, the fuzziness of the observed data leads to the fuzzy p-value. This paper has been focused to calculate fuzzy p-value based on fuzzy data using the extension principle. Also, considering that p-value method is the most widely used / popular approach for testing hypotheses among different sciences users, two fuzzy $p$-value-based case studies have been provided in this paper. The first case study is discussed on ″the fuzzy data from a speedometer camera" and the second is deliberate about ″the lifetime of produced batteries in a factory" and both of them have been solved by a novel approach considering other studies found in the literature.Wed, 30 Sep 2020 20:30:00 +0100On the use of Heronian means in a similarity classifier
http://ijfs.usb.ac.ir/article_5521_698.html
This paper introduces new similarity classifiers using the Heronian mean, and the generalized Heronian mean operators. We examine the use of these operators at the aggregation step within the similarity classifier. The similarity classifier was earlier studied with other operators, in particular with an arithmetic mean, generalized mean, OWA operators, and many more. The two classifiers here are tested on four real world data sets, i.e., echocardiogram, fertility, horse-colic, and lung cancer. Three previously studied similarity classifiers are used as benchmarks to the new approaches. We observe that the similarity classifier with a generalized Heronian mean produces good classification results for the tested data sets, and is therefore more suitable for use in these classification problems.Wed, 30 Sep 2020 20:30:00 +0100Extensions of ELECTRE-I and TOPSIS methods for group decision-making under complex Pythagorean ...
http://ijfs.usb.ac.ir/article_5522_698.html
Multi-criteria group decision-making is a process in which decision makers assess the performance of alternatives on the basis of conflicting criteria to opt the most worthy alternative as solution. TOPSIS and ELECTRE are effective and commonly used methods to solve multiple criteria decision-making problems. The aim of this study is to propose two new models, namely, complex Pythagorean fuzzy TOPSIS (CPF-TOPSIS) method and complex Pythagorean fuzzy ELECTRE I (CPF-ELECTRE I) method, to tackle multiple criteria group decision-making problems comprising complex Pythagorean fuzzy data. In these methods, we compare complex Pythagorean fuzzy numbers on the basis of their score functions. We use revised closeness index for the ranking of alternatives in CPF-TOPSIS method. {In complex Pythagorean fuzzy concordance and discordance sets, we compare the alternatives on being superior and inferior to other alternatives on the basis of score degree, accuracy degree and indeterminacy. In CPF-ELECTRE I method, we use outranking decision graph to obtain the best alternative.} We illustrate the structure of both methods with the help of flow charts. To verify the accuracy of {proposed methods}, we present an explanatory example for selection of best interior designer for a hotel renovation. {We authenticate the proposed techniques by providing a brief comparative analysis of these methods with existing methods}.Wed, 30 Sep 2020 20:30:00 +0100An improved similarity measure of generalized trapezoidal fuzzy numbers and its application in ...
http://ijfs.usb.ac.ir/article_5523_698.html
Generalized trapezoidal fuzzy numbers (GTFNs) have been widely applied in uncertain decision-making problems. The similarity between GTFNs plays an important part in solving such problems, while there are some limitations in existing similarity measure methods. Thus, based on the cosine similarity, a novel similarity measure of GTFNs is developed which is combined with the concepts of geometric distance, center of gravity, area and perimeter after analyzing the limitations of previous methods. Then comparative analysis is conducted with existing similarity measures, and the results show that the novel similarity measure has better distinguishability and lower invalidity. Furthermore, a general process, which combines the new similarity measure of GTFNs with compromise methods, is developed to deal with multi-attribute group decision making (MAGDM) problem. Finally, we combine fuzzy VIKOR with the general process as illustrated example, which proves the superiority of the developed similarity measure in solving MAGDM problem.Wed, 30 Sep 2020 20:30:00 +0100An integrated model of fuzzy multi-criteria decision making and stochastic programming for the ...
http://ijfs.usb.ac.ir/article_5524_698.html
Investment appraisal in advanced manufacturing technologies (AMTs) has been receiving considerable attention over the past three decades. As stated in numerous studies, traditional engineering economic methods cannot adequately justify investments in AMTs. Thus, beside these methods, some other solutions have been proposed in this field. The methods applied in the evaluation of AMTs can be classified into four groups including economic, strategic, analytical and integrated methods. In this paper, an integrated model is presented for the evaluation of AMTs. The model is developed according to a fuzzy multi-criteria decision making procedure. It is assumed that a group of decision makers evaluate different AMT alternatives according to certain strategic and economic criteria. The importance of the criteria and the weights of the alternatives versus the criteria are expressed using linguistic variables set by the decision makers. To compute the economic criterion of each alternative, a linear program with chance constraints is proposed. Finally, using different fuzzy operators, the AMT alternatives are scored and ranked. In this regard, an example is presented to show the performance of the model.Wed, 30 Sep 2020 20:30:00 +0100Persian-translation 17-5 October 2020
http://ijfs.usb.ac.ir/article_5525_698.html
Wed, 30 Sep 2020 20:30:00 +0100(1909-5477) Generalized convex combination of implications on bounded lattices
http://ijfs.usb.ac.ir/article_5391_0.html
In this paper, the notions of the linear and g-convex combination for implications which extend the notion of convex combination of fuzzy implications on the unit interval to bounded lattices are introduced. A necessary and sucientcondition for the g-convex combination to be an implication is determined. Some basic properties of the g-convex combinations are discussed. Also, some sets which are dened by the linear (g-convex) combination of two implicationson a bounded lattice are studied and the relationships between them are discussed. Moreover, the lattice theoretical structure of the mentioned sets is investigated.Fri, 15 May 2020 19:30:00 +0100(1905-5255) States on implication basic algebras
http://ijfs.usb.ac.ir/article_5396_0.html
In this paper, the notions of Bosbach states and state-morphisms on implication basic algebra are introduced, along with their properties and related results. It is proved that Bosbach states coincide with Riecan states on bounded implication basic algebras. Accordingly, the relations between Bosbach states and state-morphisms are discussed. It is proved that sm is a state-morphism on IB if and only if sm is a Bosbach state and sm(x V y)=sm(x) V sm(y) .
In addition, the concept of internal states on implication basic algebras is defined, and accordingly, the notions of IS-prefilters, IS-filters, and IS-congruence relations on implication basic algebras are introduced. Then, it is proved that one-to-one correspondence is available between the set of all IS-filters and IS-congruence relations on implication basic algebras.Finally, the new notion of generalized state maps from an implication basic algebra IB1 to an arbitrary implication basic algebra IB2 is defined and generalized state-morphisms and generalized internal states as two types of individual generalized state maps are introduced. This confirmed that the generalized internal states are a generalization of internal states, and the generalized state-morphisms are a generalization of state-morphisms on implication basic algebras. Finally, it is shown that a generalized internal state $ gs $ is an internal state on implication basic algebra IB if gs2=gs .Tue, 19 May 2020 19:30:00 +0100(1909-5455) Pythagorean interval 2-tuple Linguistic VIKOR method for evaluating human factors ...
http://ijfs.usb.ac.ir/article_5426_0.html
In a construction project, there are many factors that affect the project quality, such as people, materials, machinery, environment, etc. Among them, people have the greatest influence on the project quality, whether people participate directly or indirectly. This paper mainly evaluates human factors in the process of construction project management, such as workers’ proficiency, workers’ safety awareness, technical workers’ quality, and workers’ emergency capacity, with the purpose of helping China’s construction project to proceed smoothly. In this manuscript, a multi-attribute group decision-making (MAGDM) technique based on Pythagorean interval 2-tuple linguistic numbers (PI2TLNs) and VIKOR method is proposed to evaluate human factors in construction projects. PI2TLNs are used to represent performance assessments of decision makers. Relying on Pythagorean interval 2-tuple linguistic weighted averaging (PI2TLWA)/Pythagorean interval 2-tuple linguistic weighted geometric (PI2TLWG) operator, the evaluation information given by experts is fused into a group decision matrix. Combined with the essential VIKOR method, PI2TLN-VIKOR’ framework is established. The effectiveness of this method is verified by an example, and compared with two algorithms and PI2TLN-TODIM method.Sat, 30 May 2020 19:30:00 +0100(1902-5014) $C^\infty$ L-fuzzy manifolds with L-gradation of openness and $C^\infty$ LG-fuzzy ...
http://ijfs.usb.ac.ir/article_5427_0.html
In this paper, we generalize all of the fuzzy structures which we have discussed in cite{MM} to $L$-fuzzy set theory, where $L= <L,leq,bigwedge,bigvee, '>$ denotes a complete distributive lattice with at least two elements. We define the concept of an $LG$-fuzzy topological space $(X, mathfrak{T} )$ which $X$ is itself an $L$-fuzzy subset of a crisp set M and $mathfrak{T}$ is an $L$-gradation of openness of $L$-fuzzy subsets of $M$ which are less than or equal to $ X $. Then we define $C^infty$ $L$-fuzzy manifolds with $L$-gradation of openness and $C^infty$ $LG$-fuzzy mappings of them such as $LG$-fuzzy immersions and $LG$-fuzzy imbeddings. We fuzzify the concept of the product manifolds with $L$-gradation of openness and define $LG$-fuzzy quotient manifolds when we have an equivalence relation on $M$ and investigate the conditions of the existence of the quotient manifolds. We also introduce $LG$-fuzzy immersed, imbedded and regular submanifolds.Sat, 30 May 2020 19:30:00 +0100(1901-4945) Applications of generalized fixed points theorems to the existence of uncertain ...
http://ijfs.usb.ac.ir/article_5459_0.html
In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.Tue, 09 Jun 2020 19:30:00 +0100(1906-5294) Modal operators on pseudo-BE algebras
http://ijfs.usb.ac.ir/article_5474_0.html
In this paper, we define and study the modal operators on pseudo-BE algebras as special cases of closure operators on these structures. We prove that the composition of two modal operators is a modal operator if and only if theycommute. For the particular case of a good pseudo-BCK algebra an equivalent definition of the modal operators is given, and the notion of a strong modal operator is introduced and studied. We also define the notions of modal deductive systems and modal homomorphisms on pseudo-BE algebras and we investigate their properties. It is proved that, if two modal operators have the same image, then they coincide. Also, given a normal modal deductive system H of a distributive modal pseudo-BE algebra (A; f) we construct a modal operator on the quotient pseudo-BE algebra A=H.Sat, 13 Jun 2020 19:30:00 +0100(1903-5122) Complex fuzzy ordered weighted distance measures
http://ijfs.usb.ac.ir/article_5498_0.html
In this paper, we introduce the complex fuzzy ordered weighted distance (CFOWD) measure. It is a new measure that uses the main characteristics of the the ordered weighted averaging (OWA) operator and uncertain informationrepresented as complex fuzzy values. This measure includes a wide range of distance measures such as the complex fuzzy maximum distance, the complex fuzzy minimum distance, the normalized complex fuzzy distance (NCFD), thecomplex fuzzy ordered weighted Hamming distance (CFOWHD), complex fuzzy ordered weighted Euclidean distance (CFOWED), complex fuzzy ordered weighted geometric distance (CFOWGD), the normalized complex fuzzy Hamming distance (NCFHD) and the normalized complex fuzzy Euclidean distance (NCFED). We study some of its main properties. Finally, based on CFOWD measures, we give an illustrative example regarding the selection problem.Mon, 22 Jun 2020 19:30:00 +0100(1912-5636) A Modified Method on Estimating and Assessing the Process Yield with Imprecise ...
http://ijfs.usb.ac.ir/article_5503_0.html
The conventional advanced process yield index STpk is widely applied in industry to provide an exact measure of the overall production yield whose quality characteristics are mutually independent and multivariate normally distributed.While one can find numerous studies that consider a crisp estimation of STpk to evaluate and test the overall process yield, the recorded measurements of product quality characteristics are not always reported precisely. This paper presents anew fuzzy-based method to assess the overall process yield in the presence of a specified degree of ambiguity for the sample data. After finding a fuzzy estimator of STpk based on Buckley’s approach, a new fuzzy three-decision testing rule is proposed to evaluate process performance based on critical values and fuzzy p-values. Subsequently, this work extends the application of the proposed method to the class of correlated characteristics by adopting the principal componentanalysis technique. The introduced fuzzy testing procedure includes the existing customary binary-decision testing rule as a spacial case. In addition, comparative studies are conducted to display the benefits of the proposed rule. Finally,two industrial examples are given for independent and correlated characteristics to guide the practitioners.Fri, 03 Jul 2020 19:30:00 +0100(1910-5521) Aggregation of sequence of fuzzy measures
http://ijfs.usb.ac.ir/article_5504_0.html
In this paper we present construction of new fuzzy measures by applying extended aggregation function on a sequence of fuzzy measures. According to properties of applied aggregation function and properties of initial fuzzy measures,some properties of constructed fuzzy measure are proved. Additionally, one new extended aggregation function named extended weighted arithmetic mean of distorted arguments is introduced, and its relevant properties are proved. It isshown that this extended aggregation function, with appropriated parameters, can be suitable for construction of new fuzzy measures. Other types of non-additive measures can be constructed in the same way, by applying aggregationfunction on the initial sequence of non-additive measures.Fri, 03 Jul 2020 19:30:00 +0100(1909-5483) A combination risk-based approach to post-earthquake temporary accommodation site ...
http://ijfs.usb.ac.ir/article_5505_0.html
One of the most important problems after natural disasters in every country is the preparation of temporary accommodations for victims. The developers of preventive plans are also faced with numerous uncertainties in this crisismanagement topic. Furthermore, uncertainty is not dened in classical mathematical sets. Therefore, the use of intuitionistic fuzzy sets, which include considerations for uncertainty, can be useful in prospective planning in order tocounteract possible risks. The main aim of this study is to propose a combined method using risk management and Intuitionistic Fuzzy Analytic Hierarchy Process (IF-AHP) for degerming the preferred temporary accommodation lo-cations after an earthquake. To this end, the city of Sanandaj in Iran was selected as the case study of this method.First, brainstorming sessions with 9 crisis management experts from various organizations of Kurdistan province were used to determine 6 decision-making criteria. These criteria were based on identied risks in temporary accommodationprocess after an earthquake in the region, and criteria extracted from previous studies regarding temporary accommodation locations. The possible alternatives for temporary accommodation sites in this study were 13 dierent urbanpublic spaces. The pairwise comparison of criteria based on the aim and pairwise comparison of alternative temporary accommodation options based on each criterion was carried out by experts and using intuitionistic fuzzy sets. Finally,the IF-AHP process was used to determine the priority of each alternative.Fri, 03 Jul 2020 19:30:00 +0100