University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401merge cover 17-2 APRIL 20200521410.22111/ijfs.2020.5214ENJournal Article20200307http://ijfs.usb.ac.ir/article_5214_281d276cdf805320a8a8a1ebffa9696c.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Partially continuous pretopological and topological operators for intuitionistic fuzzy sets115521510.22111/ijfs.2020.5215ENE.MarinovDepartment of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, BulgarianK.AtanassovDepartment of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, BulgarianJournal Article20200307In 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.<br />On the other hand it is a generalization of the fuzzy set pretopological operators introduced by Wenzhong and Kimfung.http://ijfs.usb.ac.ir/article_5215_695720535f0e84648b7345173fccdb60.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Ulam-Hyers-Rassias stability for fuzzy fractional integral equations1727521610.22111/ijfs.2020.5216ENH.VuFaculty of Mathematical Economics, Banking University of Ho Chi Minh City, VietnamJ. M.RassiasPedagogical Department E. E., Section of Mathematics and Informatics National and Capodistrian University of Athens, 54
Agamemnonos Str., Aghia Paraskevi Attikis 15342, Athens, GREECE.N.Van HoaDivision of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho
Chi Minh City, Vietnam.Journal Article20200307In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.http://ijfs.usb.ac.ir/article_5216_169c37001ac33e3f17a45d16e8049c20.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Fuzzy based efficient drone base stations (DBSs) placement in the 5G cellular network2938521710.22111/ijfs.2020.5217ENM. H.ZahediFaculty of Computer Engineering, Khaje Nasir Toosi University of Technology Tehran, IranM. JSoboutiDepartment of Computer Engineering, Ferdowsi University of Mashhad, Mashhad, IranA. H.MohajerzadehDepartment of Computer Engineering, Ferdowsi University of Mashhad, Mashhad, IranA. A.RezaeeDepartment of Computer Engineering and Information Technology, Payame Noor University, PO BOX 19395-3697 Tehran, IranS. A.Hosseini SenoDepartment of Computer Engineering, Ferdowsi University of Mashhad, Mashhad, IranJournal Article20200307Currently, 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.http://ijfs.usb.ac.ir/article_5217_a8e2e601e86238f558716fac1cf4dc1d.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Single cycle supply chain coordination model for fuzzy stochastic demand of perishable items3948521810.22111/ijfs.2020.5218ENR. V.LatpateDepartment of Statistics, Savitribai Phule Pune University, Pune-411007, IndiaM. R.BhosaleDepartment of Statistics, Savitribai Phule Pune University, Pune-411007, IndiaJournal Article20200307Market 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.http://ijfs.usb.ac.ir/article_5218_8d08f119cea898c3df95c13fe1af456b.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Switching fuzzy modelling and control scheme using T-S fuzzy systems with nonlinear consequent parts4965521910.22111/ijfs.2020.5219ENM. J.KoopaeeSchool of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, IranV. J.MajdSchool of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, IranJournal Article20200307This 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.http://ijfs.usb.ac.ir/article_5219_ac70556cf6fbd171fe157fd151528bca.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Fuzzy decision making in testing hypotheses: An introduction to the packages ``FPV" and ``Fuzzy.p.value" with practical examples6777522010.22111/ijfs.2020.5220ENA.ParchamiDepartment of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20200307This paper reviews and compares two R packages ``FPV" and ``Fuzzy.p.value".<br />These packages are designed for testing hypotheses in a fuzzy environment using a fuzzy $p$-value based approach.<br />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.<br />The proposed methods and functions have been presented together with illustrative practical examples.http://ijfs.usb.ac.ir/article_5220_a41fc453e876bd257ede291dbd417e73.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401A fuzzy capacitated facility location-network design model: A hybrid firefly and invasive weed optimization (FIWO) solution7995522110.22111/ijfs.2020.5221ENA. A.Sadat AslDepartment of Industrial Engineering, Amirkabir University of Technology, Tehran, IranM. H.Fazel ZarandiDepartment of Industrial Engineering, Amirkabir University of Technology, Tehran, IranS.SotudianDepartment of Industrial Engineering, Amirkabir University of Technology, Tehran, IranA.AminiDepartment of Industrial Engineering, Amirkabir University of Technology, Tehran, IranJournal Article20200307Facility 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.http://ijfs.usb.ac.ir/article_5221_3b88fd661ee91fd9be16dceef951e1bd.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Hyperspace of a fuzzy quasi-uniform space97114522210.22111/ijfs.2020.5222ENT.Pedraza1,2Instituto Universitario de Matem´atica Pura y Aplicada, Universitat Polit`ecnica de Val`encia, Camino de Vera s/n, 46022
Valencia, SpainJ.Rodr´ıguez-L´opez1,2Instituto Universitario de Matem´atica Pura y Aplicada, Universitat Polit`ecnica de Val`encia, Camino de Vera s/n, 46022
Valencia, SpainJournal Article20200307The 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}.http://ijfs.usb.ac.ir/article_5222_4eb39bf410fb2047bc49894225b17c7a.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Interval number ranking method considering multiple decision attitudes115127522310.22111/ijfs.2020.5223ENN.YaoSchool of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, ChinaY.YeHubei key laboratory for efficient utilization and agglomeration of met allergic mineral resource, Wuhan University of Science
and Technology, Wuhan, ChinaQ.WangSchool of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, ChinaN.HuSchool of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, ChinaJournal Article20200307Many interval number ranking methods cannot represent<br />the different attitudes of decision makers with different risk<br />appetites. Therefore, interval numbers are expressed in the Rectangular<br />Coordinate System (RCS). After mining the interval numbers in the RCS,<br />the Symmetry Axis Compensation Factor, which is known as (lambda),<br />was introduced, and the Equivalent Function of the Goal Interval Number<br />(GIN) was deduced. Thus, the interval number ranking method considering<br />symmetry axis compensation was defined along with its application<br />procedures. Additionally, the feasibility and effectiveness of this<br />method were verified through examples. This method is intuitive and<br />simple and can represent multiple attitudes of decision makers with<br />different risk appetites.http://ijfs.usb.ac.ir/article_5223_17c84787816fc14e46b267aa8640b2b6.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401A new family of (A, N)-implications: Construction and properties129145522410.22111/ijfs.2020.5224ENZ.PengCollege of Mathematics and Statistics, Yangtze Normal University, Fuling 408100, Chongqing, PR ChinaJournal Article20200307This 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.<br /> Moreover, the T-conditionality and the Modus tollens for the new family of (A, N)-implications are also studied and some results are obtained.http://ijfs.usb.ac.ir/article_5224_d9a5ab845ae5c0c3926fb8a7b1721c21.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Several new results based on the study of distance measures of intuitionistic fuzzy sets147163522510.22111/ijfs.2020.5225ENC.ChenSchool of Mathematics, South China University of Technology, Guangzhou, 510640, ChinaX.DengSchool of Mathematics, South China University of Technology, Guangzhou, 510640, ChinaJournal Article20200307It 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.http://ijfs.usb.ac.ir/article_5225_c3b0df3eaa33f2919b05d4fd2ec17961.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Continuity of super- and sub-additive transformations of continuous functions165168522610.22111/ijfs.2020.5226ENA.SeligaFaculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaJ.SiranFaculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaJournal Article20200307We 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.http://ijfs.usb.ac.ir/article_5226_f1b39b6379a5dde48ff53dc37261a771.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401Probit and nested logit models based on fuzzy measure169181522710.22111/ijfs.2020.5227ENM.AggarwalInformation Systems Area, IIM Ahmedabad, IndiaJournal Article20200307Inspired 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.http://ijfs.usb.ac.ir/article_5227_b87a90f3d20ab78013dc3399fd39732f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401A new approach to rank the decision making units in presence of infeasibility in intuitionistic fuzzy environment183199522810.22111/ijfs.2020.5228ENA.AryaDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee, IndiaS. P.YadavDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee, IndiaJournal Article20200307Data 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.http://ijfs.usb.ac.ir/article_5228_cd1d260b8290d74147509a5929faf166.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065417220200401persian translate 17-2 APRIL 2020202215522910.22111/ijfs.2020.5229ENJournal Article20200307http://ijfs.usb.ac.ir/article_5229_b6fc741ee5f601d606f5dabe9e07f71e.pdf