University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830SOME COMPUTATIONAL RESULTS FOR THE FUZZY RANDOM VALUE OF LIFE ACTUARIAL LIABILITIES125332310.22111/ijfs.2017.3323ENJ.De Andres-SanchezSocial and Business Research Laboratory, Department of Business Management, Rovira i Virgili University, SpainL. Gonzalez-VilaPuchadesDepartment of Mathematics for Economics, Finance and Actuarial Science, University of Barcelona, SpainJournal Article20160802The 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.https://ijfs.usb.ac.ir/article_3323_242708c1c04780a4e8a45660e0ca3d78.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS2750332410.22111/ijfs.2017.3324ENMuhammadAkramDepartment of Mathematics, University of the Punjab, New Campus, Lahore, PakistanNehaWaseemDepartment of Mathematics, University of the Punjab, New Campus,
Lahore, PakistanWieslaw A.DudekFaculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, PolandJournal Article20160402In 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 $B_{n,n}.$<br />We also present an application of $m-$polar fuzzy graph to decision making.https://ijfs.usb.ac.ir/article_3324_59b5d39f5876cd527802f701f8ecc284.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830ARITHMETIC-BASED FUZZY CONTROL5166332510.22111/ijfs.2017.3325ENJozsefDombiInstitute of Informatics, University of Szeged, Szeged, HungaryTamasSzepeDepartment of Technical Informatics, University of Szeged, Szeged,
HungaryJournal Article20151203Fuzzy 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.https://ijfs.usb.ac.ir/article_3325_9b07cd96f753146bc25062151c7c05e8.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830AN OPTIMAL FUZZY SLIDING MODE CONTROLLER DESIGN BASED ON PARTICLE SWARM OPTIMIZATION AND USING SCALAR SIGN FUNCTION6785332610.22111/ijfs.2017.3326ENLotfiChaouechLaboratoire d'Ingenierie des Systemes Industriels et des Energies
Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP 56, 1008 Tunis, TunisiaMo^ezSoltaniLaboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP
56, 1008 Tunis, TunisiaSlimDhahriLaboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP
56, 1008 Tunis, TunisiaAbdelkaderChaariLaboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP 56, 1008 Tunis, TunisiaJournal Article20160303This 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.https://ijfs.usb.ac.ir/article_3326_f3456838d80940d4d0d34d523ff7c0b3.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830INTERVAL-VALUED INTUITIONISTIC FUZZY SETS AND SIMILARITY MEASURE8798332710.22111/ijfs.2017.3327ENBarbaraPekalaInterdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-310 Rzeszow, PolandKrzysztofBalickiInterdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-310 Rzeszow, PolandJournal Article20160403In 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.https://ijfs.usb.ac.ir/article_3327_4ffa11fa38d3e5873252092cc9181d0a.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830TOPOLOGICAL SIMILARITY OF L-RELATIONS99115332810.22111/ijfs.2017.3328ENJingHaoCollege of Mathematics and Information Science, Henan University of
Economics and Law, Zhengzhou, 450000, ChinaShashaHuangCollege of Mathematics and Information, North China University of
Water Resources and Electric Power, Zhengzhou, 450045, ChinaJournal Article20160603$L$-fuzzy rough sets are extensions of the classical rough sets by relaxing the<br />equivalence relations to $L$-relations. The topological structures induced by<br />$L$-fuzzy rough sets have opened up the way for applications of topological facts<br />and methods in granular computing. In this paper, we firstly prove that<br />each arbitrary $L$-relation can generate an Alexandrov $L$-topology.<br />Based on this fact, we introduce the topological similarity of $L$-relations,<br />denote it by T-similarity, and we give intuitive characterization of<br />T-similarity. Then we introduce the variations of a given $L$-relation and<br />investigate the relationship among them. Moreover, we prove that each<br />$L$-relation is uniquely topological similar to an $L$-preorder. Finally,<br />we investigate the related algebraic structures of different sets of<br />$L$-relations on the universe.https://ijfs.usb.ac.ir/article_3328_9d91e0d6e83d4532a68b2d14d8756c97.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830FUZZY INCLUSION LINEAR SYSTEMS117137332910.22111/ijfs.2017.3329ENMojtabaGhanbariDepartment of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, IranJournal Article20160503In this manuscript, we introduce a new class of fuzzy problems, namely ``fuzzy inclusion linear systems" and propose a fuzzy solution set for it. Then, we present a theoretical discussion about the relationship between the fuzzy solution set of a fuzzy inclusion linear system and the algebraic solution of a fuzzy linear system. New necessary and sufficient conditions are derived for obtaining the unique algebraic solution for a fuzzy linear system. Also, all new concepts are illustrated by numerical examples.https://ijfs.usb.ac.ir/article_3329_0c798ba6903291db932f68673982de92.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES139161333010.22111/ijfs.2017.3330ENHongjunZhouSchool of Mathematics and Information Science, Shaanxi Normal
University, Xi'an, 710062, CHINAHui-XianShiSchool of Mathematics and Information Science, Shaanxi Normal UniversityJournal Article20160403$R\sb{0}$-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.<br />In this paper, we first establish a Stone duality for the category of MV-skeletons of $R\sb{0}$-algebras and the category of three-valued Stone spaces.<br />Then we extend Flaminio-Montagna internal states to $R\sb{0}$-algebras.<br />Such internal states must be idempotent MV-endomorphisms of $R\sb{0}$-algebras.<br />Lastly we present a Stone duality for the category of MV-skeletons of $R\sb{0}$-algebras with Flaminio-Montagna internal states and the category of three-valued Stone spaces with Zadeh type idempotent continuous endofunctions.<br />These dualities provide a topological viewpoint for better understanding of the algebraic structures of $R\sb{0}$-algebras.https://ijfs.usb.ac.ir/article_3330_f12a0f74c6087b8efa1b0345bf21060c.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830REDUNDANCY OF MULTISET TOPOLOGICAL SPACES163168333110.22111/ijfs.2017.3331ENA.GhareebDepartment of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptJournal Article20160503In this paper, we show the redundancies of multiset topological spaces. It is proved that $(P^\star(U),\sqsubseteq)$ and $(Ds(\varphi(U)),\subseteq)$ are isomorphic. It follows that multiset topological spaces are superfluous and unnecessary in the theoretical view point.https://ijfs.usb.ac.ir/article_3331_e60d0f147e0b8583bab007f0010335f2.pdf