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.(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 +0100merge cover 17-2 APRIL 2020
http://ijfs.usb.ac.ir/article_5214_698.html
Tue, 31 Mar 2020 19:30:00 +0100Partially continuous pretopological and topological operators for intuitionistic fuzzy sets
http://ijfs.usb.ac.ir/article_5215_698.html
In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced by Wenzhong and Kimfung.Tue, 31 Mar 2020 19:30:00 +0100Ulam-Hyers-Rassias stability for fuzzy fractional integral equations
http://ijfs.usb.ac.ir/article_5216_698.html
In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.Tue, 31 Mar 2020 19:30:00 +0100Fuzzy based efficient drone base stations (DBSs) placement in the 5G cellular network
http://ijfs.usb.ac.ir/article_5217_698.html
Currently, cellular networks are one of the essential communication methods for people. Providing proper coverage for the users and also offering high-quality services to them are two of the most important issues of concern in cellular networks. The fifth-generation cellular communication networks can provide higher data transmission rates, which lead to a higher quality of service but this higher rate has let to reduced antenna coverage in these networks. Besides this, natural and unnatural events in the environment can also affect the coverage of users in the cellular network. One way to resolve this issue is using drones as cellular antennas. The most important factor in providing good coverage and high-quality service for users is the optimal placement of antennas. In this article, the problem of finding the appropriate locations of drone base stations (DBSs) is modeled as a $P$-median optimization problem, where P is the number of required antennas to cover the users. We have used a fuzzy clustering algorithm to define a set of specified candidate points that are required to select the locations of DBSs in the $P$-median model. The optimal value of P was obtained using the bisection algorithm. Finally, the optimal positions of DBSs have been determined by solving the optimization problem. According to the results, in the case of a proper selection of fuzzy clustering parameters, better results will be obtained in comparison to the results of other approaches.Tue, 31 Mar 2020 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 +0100Single cycle supply chain coordination model for fuzzy stochastic demand of perishable items
http://ijfs.usb.ac.ir/article_5218_698.html
Market demand of the perishable bakery products are volatile. Hence, demand of such items are random variable. The most appealing demand distribution of such items is lognormal demand distribution. Using historical data, the parameters of lognormal distribution are obtained. But, there is a problem of overestimation or underestimation of the parameters. Fuzzy triangular numbers are used to overcome such problems. Single period (newsboy) inventory model is used to obtain an optimal order quantity. The retailers and manufacturers profit is obtained by using the supply chain coordination model. At the end of day, all the remaining items rotted. Hence, there is no gain from unsold items. Also, the some items are defective at the time of purchase. Thus, loss sharing strategy is proposed between manufacturers and retailers. All of these aspects are incorporated in the supply chain coordination model. The data is collected from Koregaon Park, Pune market, India to illustrate the methodology.Tue, 31 Mar 2020 19:30:00 +0100Switching fuzzy modelling and control scheme using T-S fuzzy systems with nonlinear consequent parts
http://ijfs.usb.ac.ir/article_5219_698.html
This paper extends the idea of switching T-S fuzzy systems with linear consequent parts to nonlinear ones. Each nonlinear subsystem is exactly represented by a T-S fuzzy system with Lure’ type consequent parts, which allows to model 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 with maximum 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 the computational burden of control synthesis and improving the closed-loop performance of the system.Tue, 31 Mar 2020 19:30:00 +0100Fuzzy decision making in testing hypotheses: An introduction to the packages ``FPV" and ...
http://ijfs.usb.ac.ir/article_5220_698.html
This paper reviews and compares two R packages ``FPV" and ``Fuzzy.p.value".These packages are designed for testing 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 than crisp.The proposed methods and functions have been presented together with illustrative practical examples.Tue, 31 Mar 2020 19:30:00 +0100A fuzzy capacitated facility location-network design model: A hybrid firefly and invasive weed ...
http://ijfs.usb.ac.ir/article_5221_698.html
Facility location-network design (FLND) problem, which determines the location of facilities and also communication links between the demand and facility nodes, is arisen from the combination of the facility location and network design problems. This paper deals with fuzzy capacitated facility location-network design model which aims to select the facilities and candidate links in a way that yield to minimize the total costs, containing: costs of opening facilities, link construction and transportation costs. In this study, several types of links have been considered for connecting two nodes in which their capacity, transportation and construction costs are distinct. Besides, the possibility of multiple link selection between two nodes and also the necessity of the existence of a facility in some nodes are considered. There are also several types of facilities which the budget for each type is unique. Moreover, to open the facilities and to construct the links, limited budgets are considered. As a result of the uncertainty in customers’ demand, an interactive fuzzy solution approach is applied. Because this problem is classified as an NP-hard class, a hybrid meta-heuristic algorithm based on Firefly and Invasive Weed Optimization (FIWO) is developed. Finally, the behavior of the model is tested, and the proposed algorithm’s performance is compared with some other solving methods.Tue, 31 Mar 2020 19:30:00 +0100Hyperspace of a fuzzy quasi-uniform space
http://ijfs.usb.ac.ir/article_5222_698.html
The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi cite{Morsi94} and Georgescu cite{Georgescu08}, allows to extend probabilistic and Hutton $[0,1]$-quasi-uniformities on a set $X$ to its power set. In this way, we obtain an endofunctor for each one of the categories of those objects. We will demonstrate the commutativity of these endofunctors with Lowen and Katsaras' functors. Furthermore, we will prove the compatibility of our construction with the Hausdorff fuzzy quasi-pseudometric introduced in cite{RLRoSA10}.Tue, 31 Mar 2020 19:30:00 +0100Interval number ranking method considering multiple decision attitudes
http://ijfs.usb.ac.ir/article_5223_698.html
Many interval number ranking methods cannot representthe different attitudes of decision makers with different riskappetites. Therefore, interval numbers are expressed in the RectangularCoordinate System (RCS). After mining the interval numbers in the RCS,the Symmetry Axis Compensation Factor, which is known as (lambda),was introduced, and the Equivalent Function of the Goal Interval Number(GIN) was deduced. Thus, the interval number ranking method consideringsymmetry axis compensation was defined along with its applicationprocedures. Additionally, the feasibility and effectiveness of thismethod were verified through examples. This method is intuitive andsimple and can represent multiple attitudes of decision makers withdifferent risk appetites.Tue, 31 Mar 2020 19:30:00 +0100A new family of (A, N)-implications: Construction and properties
http://ijfs.usb.ac.ir/article_5224_698.html
This paper deals with a new family of (A, N)-implications that derived from fuzzy negation and continuous monotone function, and some properties, like the left neutrally, the exchange principle, the ordering property and the laws of contraposition, of the proposed family of (A, N)-implications are studied. Moreover, the T-conditionality and the Modus tollens for the new family of (A, N)-implications are also studied and some results are obtained.Tue, 31 Mar 2020 19:30:00 +0100Several new results based on the study of distance measures of intuitionistic fuzzy sets
http://ijfs.usb.ac.ir/article_5225_698.html
It is doubtless that intuitionistic fuzzy set (IFS) theory plays an increasingly important role in solving the problems under uncertain situation. As one of the most critical members in the theory, distance measure is widely used in many aspects. Nevertheless, it is a pity that part of the existing distance measures has some drawbacks in practical significance and accuracy. To make up for their drawbacks and pursue more accuracy and effectiveness, in this paper, we propose a new inclusion relation of IFSs and a new definition called strict distance measure. Based on this new relation, an analysis is given to point out that the common shortcoming of Hamming distance measure and Euclidean distance measure is the mishandling of hesitancy degree. Therefore, the role of hesitancy degree in distance measure is studied deeply and then three strict distance measures are put forward to overcome the above shortcoming. In addition, a novel definition called the characteristic function of distance measure is defined to describe the character of strict distance measure. On this basis, a theorem is presented to illustrate the inevitability of the occurrence of unrecognized result in pattern recognition problems in some special cases. This theorem also shows that the problem cannot be entirely attributed to distance measures. In view of this condition, we provide an appropriate solution. Compared with other existing distance measures in some examples, the superiorities of our improved distance measures are demonstrated to be more effective and more significant.Tue, 31 Mar 2020 19:30:00 +0100Continuity of super- and sub-additive transformations of continuous functions
http://ijfs.usb.ac.ir/article_5226_698.html
We prove a continuity inheritance property for super- and sub-additive transformations of non-negative continuous multivariate functions defined on the domain of all non-negative points and vanishing at the origin. As a corollary of this result we obtain that super- and sub-additive transformations of continuous aggregation functions are again continuous aggregation functions.Tue, 31 Mar 2020 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 +0100Probit and nested logit models based on fuzzy measure
http://ijfs.usb.ac.ir/article_5227_698.html
Inspired by the interactive discrete choice logit models [Aggarwal, 2019], this paper presents the advanced families of discrete choice models, such as nested logit, mixed logit, and probit models to consider the interaction among the attributes. Besides the DM's attitudinal character is also taken into consideration in the computation of choice probabilities. 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 Choquet multinomial probit (CMP). These are further extended to represent the DM's attitudinal character, and termed as attitudinal CNL, attitudinal CMMNL, and attitudinal CMP.Tue, 31 Mar 2020 19:30:00 +0100A new approach to rank the decision making units in presence of infeasibility in intuitionistic ...
http://ijfs.usb.ac.ir/article_5228_698.html
Data envelopment analysis (DEA) is a linear programming based methodology to determine the relative performance efficiencies of homogeneous decision making units (DMUs). In real world applications, some input and output datas do not possess crisp/fuzzy essence but they possess intuitionistic fuzzy (IF) essence. So, in this study, we develop an IF BCC (IFBCC) and an IF super efficiency BCC (IFSEBCC) model with triangular IF numbers (TIFNs) input/output data. Firstly, the efficiencies of DMUs are determined using IFBCC model. If DMUs are efficient then the super efficiencies of DMUs are determined using IFSEBCC model. If DMUs do not have feasible (finite) efficiencies/super efficiencies in intuitionistic fuzzy environment, then we can not rank the DMUs. Therefore, we develop IF models to determine the efficiencies of DMUs and ranking the DMUs in the presence of infeasibility in intuitionistic fuzzy environment. Two illustrative examples and one real life application are provided to illustrate the applications of the proposed IF models. Finally, comparison has been performed with the existing crisp models.Tue, 31 Mar 2020 19:30:00 +0100persian translate 17-2 APRIL 2020
http://ijfs.usb.ac.ir/article_5229_698.html
Tue, 31 Mar 2020 19:30:00 +0100(1812-4906) A new quadratic deviation of fuzzy random variable and its application to portfolio ...
http://ijfs.usb.ac.ir/article_4947_0.html
The aim of this paper is to propose a convex risk measure in the framework of fuzzy random theory and verify itsadvantage over the conventional variance approach. For this purpose, this paper defines the quadratic deviation (QD)of fuzzy random variable as the mathematical expectation of QDs of fuzzy variables. As a result, the new risk criterionessentially describes the variation of a fuzzy random variable around its expected value. For triangular and trapezoidalfuzzy random variables as well as their linear combinations, we establish the analytical expressions of their QDs,and obtain the desirable convexity about the analytical expressions with respect to critical parameters. To explorethe practical value of the proposed QD, we apply it to a portfolio selection problem to quantify the investment risk,and develop three mean-QD models to find the optimal allocation of the fund in different risky securities. Due to theconvexity of our QD, the original three mean-QD models can be turned into their equivalent convex parametric quadraticprogramming problems, which can be solved by conventional optimization methods. The computational results clearlydemonstrate that our new QD signicantly reduces the computational complexity that cannot be avoided when varianceis used as a risk criterion. Finally, the numerical comparison between the proposed mean-QD model and mean-variancemodel is conducted to show the consistency between the optimal results in both techniques. Meanwhile, the comparisonbetween the proposed QD, variance, spread, and second moment is made to summarize the similarities and differencesbetween them, distinguish these four risk criteria and determine their respective application scopes in decision systems.Mon, 30 Sep 2019 20:30:00 +0100(1901-4964) New optimality conditions for multiobjective fuzzy programming problems
http://ijfs.usb.ac.ir/article_4964_0.html
In this paper we study fuzzy multiobjective optimization problems defined for n variables. Based on a new p-dimensionalfuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions arealso sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under generaldifferentiability hypothesis.Tue, 15 Oct 2019 20:30:00 +0100(1902-5015) An extended hesitant group decision-making technique based on the prospect theory ...
http://ijfs.usb.ac.ir/article_4989_0.html
Throughout the present manuscript, we are going to introduce a novel group emergency decision-making technique in which the application of prospect theory explains the psychological behaviour of the decision maker who is affected bythe hesitancy and uncertainty of cognition in decision making problems. Instead of usual aggregation procedure, we implement here a new fusion technique that is based on modified version of extended hesitant fuzzy set (EHFS), and itdefinitely keeps possible amount of expert's information more than the existing fusion technique of hesitant fuzzy set (HFS). The main motivation of re-visiting the concept of EHFS comes from its potential role in increasing the richnessof numerical appearance in the form of value-groups, and of course its ability in identifying various decision makers in decision making situations. Such a definition further expands the practical applications of HFSs. Finally, we employthe barrier lake problem to illustrate the feasibility and the validity of the presented technique.Sun, 03 Nov 2019 20:30:00 +0100(1903-5074) Hesitant q-rung orthopair fuzzy aggregation operators with their applications in ...
http://ijfs.usb.ac.ir/article_4990_0.html
The aim of this manuscript is to present a new concept of hesitant q-rung orthopair fuzzy sets (Hq-ROFSs) by combining the concept of the q-ROFSs as well as Hesitant fuzzy sets. The proposed concept is the generalization of the fuzzysets, intuitionistic fuzzy sets, hesitant fuzzy sets, and Pythagorean fuzzy sets as well as intuitionistic hesitant fuzzy sets (IHFSs) and hesitant Pythagorean fuzzy sets (HPFSs).Furthermore some basic operational laws of hesitant q-rungorthopair fuzzy have been investigated. The score and accuracy functions are defined which play a vital role in decision making process for making comparison between the hesitant q-rung orthopair fuzzy numbers (Hq-ROFNs). Underthe Hq-ROF environment, Hq-ROF weighted averaging (Hq-ROFWA) and Hq-ROF weighted geometric (Hq-ROFWG) operators are introduced and various properties of these aggregation operators are studied. Additionaly, a numericalapplication shows that how the proposed operators are utilized to solve multi-criteria decision making (MCDM) problems in which experts added their optimistic and pessimistic preferences. Finally the analysis of proposed method with othermethods is presented which show that the method presented in this paper is more flexible and superior than existing methods.Sun, 03 Nov 2019 20:30:00 +0100(1902-5024) Using Necessarily Weak Efficient Solutions for Solving a Biobjective Transportation ...
http://ijfs.usb.ac.ir/article_4993_0.html
This paper considers a biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) L - R, or flat (semi) L - R fuzzy numbers.First, we convert the problem to a parametric interval biobjective transportation problem using Υ- cuts of fuzzy coefficients. Then, we consider a fix Υ-cut and obtain a necessarily weak efficient solution to the yielded interval biobjectiveprogram by a new algorithm. It uses basic feasible solutions and the parametric simplex algorithm. Furthermore, we suggest another algorithm for finding a reasonable solution, called Υ-necessarily weak efficient, to the main biobjectivetransportation problem. To illustrate the validity and performance of the proposed algorithms, we present some numerical examples. Sun, 03 Nov 2019 20:30:00 +0100(1811-4823) Trend analysis in L-fuzzy contexts with absent values
http://ijfs.usb.ac.ir/article_4994_0.html
Sometimes we have to work with L-fuzzy context sequences where one or more values are missing. These sequences can represent, among other things, the evolution in time of an L-fuzzy context. The studies of tendencies that wehave done so far used tools that are not valid when the L-fuzzy context has unknown values. In this work we address such situations and we propose new methods to tackle the problem. Besides, we use the study of tendencies to analyserelations between the objects and the attributes of L-fuzzy contexts and to replace the absent values taking into account the behaviour of the sequence.Sun, 03 Nov 2019 20:30:00 +0100(1907-5317)The left (right) distributivity of semi-t-operators over 2-uninorms
http://ijfs.usb.ac.ir/article_4997_0.html
Recently the distributive equations involving various classes of aggregation operators have aroused widespread attentionbecause of their importance in the theoretic and applied communities of fuzzy set theory. 2-uninorms and semi-toperators are two special classes of aggregation operators and have been proved to be useful in many areas such asfuzzy decision making, approximate reasoning and so on. Therefore, the aim of this paper is to investigate the left(right) distributivity of semi-t-operators over 2-uninorms. We consider five subclasses of 2-uninorms and characterizethe corresponding left (right) distributive equations of semi-t-operators over 2-uninorms. Thu, 07 Nov 2019 20:30:00 +0100(1810-4789) Power allocation rules under fuzzy behavior and multicriteria situations
http://ijfs.usb.ac.ir/article_5051_0.html
In this paper, we adopt supreme-utilities among fuzzy level (decision) vectors to propose a power allocation rule, itsefficient extension and normalization in the framework of multicriteria fuzzy transferable-utility (TU) games. We alsoprovide several axiomatic results to present the rationality for these rules. Based on different viewpoints, we introducedifferent formulations and dynamic results for the efficient extension and the normalization by applying the reducedgame and the excess function respectively.Fri, 29 Nov 2019 20:30:00 +0100(1903-5053) Product operation and joint interval valued observable
http://ijfs.usb.ac.ir/article_5052_0.html
The aim of this paper is to define the product operation on a family of interval valued events and the notion ofjoint interval valued observable. We show the connection between product operations for interval valued events andintuitionistic fuzzy events, too. We display the relation between joint interval valued observable and joint intuitionisticfuzzy observable. We define a function of several interval valued observables with help of a Borel function and a jointinterval valued observable, too.Fri, 29 Nov 2019 20:30:00 +0100(1906-5269) Interpolating time series based on fuzzy cluster analysis problem
http://ijfs.usb.ac.ir/article_5053_0.html
This study proposes the model for interpolating time series to use them to forecast effectively for future. This model isestablished based on the improved fuzzy clustering analysis problem, which is implemented by the Matlab procedure.The proposed model is illustrated by a data set and tested for many other datasets, especially for 3003 series in M3-Competition data. Comparing to the existing models, the proposed model always gives the best result. We also applythe proposed model in forecasting the salt peak for a coastal province of Vietnam. Examples and applications show thepotential of the studied problem.Fri, 29 Nov 2019 20:30:00 +0100(1904-5152) Fuzzy particle swarm optimization with nearest-better neighborhood for multimodal ...
http://ijfs.usb.ac.ir/article_5054_0.html
In the last decades, many efforts have been made to solve multimodal optimization problems using Particle Swarm Optimization(PSO). To produce good results, these PSO algorithms need to specify some niching parameters to define the local neighborhood. In this paper, our motivation is to propose the novel neighborhood structures that remove undesirableniching parameters without sacrificing performance. Hence, this paper has two main contributions. First, two novel parameter-free neighborhood structures named Topological Nearest-Better (TNB) neighborhood and Distance-basedNearest-Better (DNB) neighborhood are proposed in the topological space and decision space, respectively. Second,two proposed neighborhoods are combined with Fuzzy PSO (FPSO) and two novel niching algorithms, called TNBFPSOand DNB-FPSO, are proposed for solving multimodal optimization problems. It should be noted that we use azero-order fuzzy system to balance between exploration and exploitation in the proposed algorithms. To evaluate theperformance of proposed algorithms, we performed a detailed empirical evaluation on the several standard multimodalbenchmark functions. Our results show that DNB-FPSO statistically outperforms the other compared multimodaloptimization algorithms.Sat, 30 Nov 2019 20:30:00 +0100(1905-5222) Solving Matrix Games with Hesitant Fuzzy Pay-offs
http://ijfs.usb.ac.ir/article_5125_0.html
The objective of this paper is to develop matrix games with pay-offs of triangular hesitant fuzzy elements (THFEs).To solve such games, a new methodology has been derived based on the notion of weighted average operator and scorefunction of THFEs. Firstly, we formulate two non-linear programming problems with THFEs. Then applying thescore function of THFEs, we transform these two problems into two non-linear multi-objective programming problemswith triangular fuzzy numbers (TFNs). Finally, the Lexicographic method is used to solve these two multi-objectiveprogramming problems. A market share problem is considered to show the validity and applicability of the proposedmethodology.Tue, 21 Jan 2020 20:30:00 +0100(1904-5132) General Definitions for the Union and Intersection of Ordered Fuzzy Multisets
http://ijfs.usb.ac.ir/article_5127_0.html
Since its original formulation, the theory of fuzzy sets has spawned a number of extensions where the role of membershipvalues in the real unit interval [0; 1] is handed over to more complex mathematical entities. Amongst the many existingextensions, two similar ones, the fuzzy multisets and the hesitant fuzzy sets, rely on collections of several distinct valuesto represent fuzzy membership, the key difference being that the fuzzy multisets allow for repeated membership valueswhereas the hesitant fuzzy sets do not. But in neither case are these collections of values ordered, as they are simplyrepresented through multisets or sets. In this paper, we study ordered fuzzy multisets, where the membership valuecan be an ordered n-tuple of values, thus accounting for both order and repetition. We present some basic definitionsand results and explore the relation between these ordered fuzzy multisets and the fuzzy multisets and hesitant fuzzysets.Fri, 24 Jan 2020 20:30:00 +0100(1809-4676) Synchronization criteria for T-S fuzzy singular complex dynamical networks with ...
http://ijfs.usb.ac.ir/article_5160_0.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.Fri, 07 Feb 2020 20:30:00 +0100(1811-4871) Multi-criteria IT personnel selection on intuitionistic fuzzy information measures ...
http://ijfs.usb.ac.ir/article_5161_0.html
Global challenge and the speedy growth of information technologies compel organizations to constantly change their ways. At the present time, associations need IT personnel who create a difference by creative thoughts and who preservewith the rapid amendments. Since the evaluation of IT personnel selection (ITPS) consists of different alternatives and criteria, therefore, IT personnel selection could be regarded as a multi-criteria decision making (MCDM) problem.The doctrine of intuitionistic fuzzy sets (IFSs) is an effective tool to elucidate the uncertain information in an MCDM problem. The main objective of the paper is to choose the best IT personnel candidate by integrating intuitionistic fuzzyAdditive Ratio Assessment (IF-ARAS) method with divergence measure, improved score function and IF-aggregation operators. In the developed methodology, the weights of criteria and decision experts (DEs) are computed basedon proposed IF-divergence measure method intuitionistic fuzzy preference evaluation method, respectively. Next, the decision experts judgments are aggregated of the proposed method to evade the loss of data. Finally, the proposed IF-ARAS method is implemented to solve the IT-personnel selection (ITPS) problem to indicate the applicability of the presented approach. In addition, a comparative analysis is provided to discuss the obtained results for validatingthe developed methodology. The analysis illustrates that the IF-ARAS method is effective and well consistent with the existing ones.Fri, 07 Feb 2020 20:30:00 +0100(1906-5286) Uncertainty analysis of hierarchical granular structures for multi-granulation ...
http://ijfs.usb.ac.ir/article_5199_0.html
Hierarchical structures and uncertainty measures are two main aspects in granular computing, approximate reasoning and cognitive process. Typical hesitant fuzzy sets, as a prime extension of fuzzy sets, are more flexible to reflectthe hesitance and ambiguity in knowledge representation and decision making. In this paper, we mainly investigate the hierarchical structures and uncertainty measures in typical hesitant fuzzy backgrounds. Firstly, we propose theparameterized scalar cardinalities of typical hesitant fuzzy elements, typical hesitant fuzzy sets and typical hesitant fuzzy relations based on a more reasonable partial orders with a disjunctive semantic meaning, respectively, wherethe parameters represent the decision makers' risk preferences. Secondly, we present four ordered relations for typical hesitant fuzzy space and four uncertainty measures to characterize the ambiguity in typical hesitant fuzzy approximationspace and discussed their relationships. Thirdly, the hierarchical structures of a multi-granulation typical hesitant fuzzy space are analyzed by various multi-granulation typical hesitant fuzzy knowledge bases. In addition, we construct theframework of multi-granulation typical hesitant fuzzy rough sets in terms of optimistic and pessimistic attitudes. Finally, we study the uncertainty measures for the multi-granulation typical hesitant fuzzy approximation space based on themaximal and minimal knowledge bases, respectively.Tue, 25 Feb 2020 20:30:00 +0100(1909-5457) A robust least squares fuzzy regression model based on kernel function
http://ijfs.usb.ac.ir/article_5230_0.html
In this paper, a new approach is presented to fit a robust fuzzy regression model based on some fuzzy quantities. In thisapproach, we first introduce a new distance between two fuzzy numbers using the kernel function, and then, based onthe least squares method, the parameters of fuzzy regression model is estimated. The proposed approach has a suitableperformance to present the robust fuzzy model in the presence of different types of outliers. Using some simulated datasets and some real data sets, the application of the proposed approach in modeling some characteristics with outliers,is studied.Fri, 06 Mar 2020 20:30:00 +0100(1903-5124) Alternative approaches to obtain t-norms and t-conorms on bounded lattices
http://ijfs.usb.ac.ir/article_5231_0.html
Triangular norms in the study of probabilistic metric spaces as a special kind of associative functions defined on the unit interval. These functions have found applications in many areas since then. In this study, we present new methods forconstructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for the clarity. Finally, we show that our construction methods can be generalizedby induction to a modied ordinal sum for triangular norms and triangular conorms on an arbitrary bounded lattice, respectively.Fri, 06 Mar 2020 20:30:00 +0100(1910-5504) Fuzzy convergence structures in the framework of L-convex spaces
http://ijfs.usb.ac.ir/article_5232_0.html
In this paper, fuzzy convergence theory in the framework of L-convex spaces is introduced. Firstly, the concept ofL-convex remote-neighborhood spaces is introduced and it is shown that the resulting category is isomorphic to thatof L-convex spaces. Secondly, by means of L-convex ideals, the notion of L-convergence spaces is introduced andit is proved that the category of L-convex spaces can be embedded in that of L-convergence spaces as a reflectivesubcategory. Finally, the concepts of convex and preconvex L-convergence spaces are introduced and it is shown thatthe resulting categories are isomorphic to the categories of L-convex spaces and L-preconvex remote-neighborhoodspaces, respectively.Fri, 06 Mar 2020 20:30:00 +0100(1909-5491) A Modification of Probabilistic Hesitant Fuzzy Sets and its Application to Multiple ...
http://ijfs.usb.ac.ir/article_5233_0.html
Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitionsof PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of PHFS, we propose a class of T-norm-based and S-norm-based operationsfor PHFSs together with a number of aggregation operators. Eventually, on the basis of the new operators, the effectiveness and practicality of re-defined PHFS will be tested using three multiple criteria decision making (MCDM)problems concerning the automotive industry safety evaluation, the evaluation of Chines hospitals and the evaluation of alternatives in an investment company.Fri, 06 Mar 2020 20:30:00 +0100(1910-5508) A novel fuzzy multi-criteria decision-making methodology based upon the spherical ...
http://ijfs.usb.ac.ir/article_5234_0.html
The choice of roll stabilization system is critical for many types of ships. For warships where operational activities are fast and the concept of time is very effective, determining the most appropriate of these systems is of particularimportance. Some operations, such as the landing of the helicopter on board, are critical for naval ships. Unwanted rolling motion makes this difficult. In addition, the performance of the crew may be insufficient due to the effect of rollmovement. Therefore, the determination of the most effective stabilizing device for naval ships was highly related to the rapid reduction of roll motion. With increasing technological studies, it became important which type of stabilizingsystem is more suitable for which type of naval ship. This study evaluates the relationship between criteria and alternatives and selects the most effective roll stabilizer system for naval ships according to expert opinion. Extensionof TOPSIS method with interval-valued spherical fuzzy sets used to list the stabilizing systems alternatives for naval ships. When the obtained results were evaluated, the eect of the criteria on the alternative system types examined,Active Fin found to be the most functional alternative.Fri, 06 Mar 2020 20:30:00 +0100(1909-5474) Extended graphs based on KM-fuzzy metric spaces
http://ijfs.usb.ac.ir/article_5279_0.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 on 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 on a class of products of KM-fuzzy metric graphs.Sun, 22 Mar 2020 19:30:00 +0100(1905-5220) Risk-adjusted control charts based on LR-fuzzy data
http://ijfs.usb.ac.ir/article_5280_0.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.Sun, 22 Mar 2020 19:30:00 +0100(1907-5331) Greedy decomposition integrals
http://ijfs.usb.ac.ir/article_5282_0.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.Thu, 26 Mar 2020 19:30:00 +0100(1912-5594) Optimal control of linear fuzzy time-variant controlled systems
http://ijfs.usb.ac.ir/article_5286_0.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.Fri, 27 Mar 2020 19:30:00 +0100(1904-5185) Reliable hub-and-spoke network design problems under uncertainty through ...
http://ijfs.usb.ac.ir/article_5290_0.html
HLP (hub location problem) tries to find locations of hub facilities and assignment of nodes to extended facilities. Hubs are facilities to collect, arrange, and distribute commodities in telecommunication networks, cargo delivery systems, etc. Hubs are very crucial and their inaccessibility impresses on network whole levels. In this paper, first, total reliability of the network is defined based on considering the reliability values of nubs and arcs. Then, a reliable huband-spoke network design problem under uncertainty is introduced through the multi - objective programming method in which the parameters are random fuzzy variables. Indeed, we are making effort to either maximize the average reliability or minimize total cost. Then, the proposed reliable multi - objective hub-and-spoke network design problem under uncertainty is solved by a new method using Zimmermann fuzzy multi - objective programming and random fuzzy chance-constrained programming based on possibility theory. Finally, some benchmark problems are solved as numerical examples to clarify the described method and show its efficiency.Fri, 27 Mar 2020 19:30:00 +0100(1904-5168) Refining membership degrees obtained from fuzzy C-means by re-fuzzification
http://ijfs.usb.ac.ir/article_5307_0.html
Fuzzy C-mean (FCM) is the most well-known and widely-used fuzzy clustering algorithm. However, one of the weaknesses of the FCM is the way it assigns membership degrees to data which is based on the distance to the cluster centers. Unfortunately, the membership degrees are determined without considering the shape and density of the clusters. In this paper, we propose an algorithm which takes the FCM clustering results and re-fuzzifies them by taking into account the shape and density of the clusters. The algorithm first defuzzifies the FCM clustering results. Then the crisp result is fuzzified again. Re-fuzzification in our algorithm has some advantages. The main advantage is that the fuzzy membership degrees of data points are obtained based on the shape and density of clusters. Adding the ability to eliminate noise and outlier data is the other advantage of our algorithm. Finally, our proposed re-fuzzification algorithm can slightly improve the FCM clustering quality, because the data points change their clusters by the similarity of the shape and density of their respective clusters. These advantages are supported by simulations for real and syntheticdatasets.Thu, 02 Apr 2020 19:30:00 +0100