eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-01
14
4
0
10.22111/ijfs.2017.3332
3332
مقاله پژوهشی
Cover vol. 14, no. 4, August 2017
http://ijfs.usb.ac.ir/article_3332_ce2c4b336fb4f06945a613ea89c56f1c.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
1
25
10.22111/ijfs.2017.3323
3323
مقاله پژوهشی
SOME COMPUTATIONAL RESULTS FOR THE FUZZY RANDOM VALUE OF LIFE ACTUARIAL LIABILITIES
J. de Andres-Sanchez
1
L. Gonzalez-Vila Puchades
2
Social and Business Research Laboratory, Department of Business Management, Rovira i Virgili University, Spain
Department of Mathematics for Economics, Finance and Actuarial Science, University of Barcelona, Spain
The concept of fuzzy random variable has been applied in several papers to model the present value of life insurance liabilities. It allows the fuzzy uncertainty of the interest rate and the probabilistic behaviour of mortality to be used throughout the valuation process without any loss of information. Using this framework, and considering a triangular interest rate, this paper develops closed expressions for the expected present value and its defuzzified value, the variance and the distribution function of several well-known actuarial liabilities structures, namely life insurances, endowments and life annuities.
http://ijfs.usb.ac.ir/article_3323_242708c1c04780a4e8a45660e0ca3d78.pdf
Financial pricing
Life insurance
Endowment
Life annuity
Stochastic mortality
Fuzzy numbers
Fuzzy triangular interest rate
Fuzzy random variable
Fuzzy financial mathematics
Fuzzy life insurance mathematics
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
27
50
10.22111/ijfs.2017.3324
3324
مقاله پژوهشی
CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS
Muhammad Akram
m.akram@pucit.edu.pk
1
Neha Waseem
neha_waseem@yahoo.com
2
Wieslaw A. Dudek
(wieslaw.dudek@pwr.wroc.pl
3
Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland
In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. We discuss the relationship between degree of a vertex and degree of an edge in an $m-$polar fuzzy graph. We investigate edge irregularity on a path on $2n$ vertices and barbell graph $B_{n,n}.$We also present an application of $m-$polar fuzzy graph to decision making.
http://ijfs.usb.ac.ir/article_3324_59b5d39f5876cd527802f701f8ecc284.pdf
Barbell graph
$m-$polar fuzzy sets
$m-$polar fuzzy graphs
Strongly edge totally irregular $m-$polar fuzzy graphs
decision making
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
51
66
10.22111/ijfs.2017.3325
3325
مقاله پژوهشی
ARITHMETIC-BASED FUZZY CONTROL
Jozsef Dombi
dombi@@inf.u-szeged.hu
1
Tamas Szepe
2
Institute of Informatics, University of Szeged, Szeged, Hungary
Department of Technical Informatics, University of Szeged, Szeged, Hungary
Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence function via arithmetical operators. Defuzzification is the optimum value of the resultant membership function. The left and right hand sides of the membership function will be handled separately. Here, we present a new ABFC (Arithmetic Based Fuzzy Control) algorithm based on arithmetic operations which use a new defuzzification approach. The solution is much smoother, more accurate, and much faster than the classical Mamdani controller.
http://ijfs.usb.ac.ir/article_3325_9b07cd96f753146bc25062151c7c05e8.pdf
Fuzzy controller
Mamdani controller
Defuzzification
Fuzzy arithmetic
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
67
85
10.22111/ijfs.2017.3326
3326
مقاله پژوهشی
AN OPTIMAL FUZZY SLIDING MODE CONTROLLER DESIGN BASED ON PARTICLE SWARM OPTIMIZATION AND USING SCALAR SIGN FUNCTION
Lotfi Chaouech
1
Mo^ez Soltani
2
Slim Dhahri
3
Abdelkader Chaari
4
Laboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP 56, 1008 Tunis, Tunisia
Laboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP 56, 1008 Tunis, Tunisia
Laboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP 56, 1008 Tunis, Tunisia
Laboratoire d'Ingenierie des Systemes Industriels et des Energies Renouvelables (LISIER), The National Higher Engineering School of Tunis (ENSIT), BP 56, 1008 Tunis, Tunisia
This paper addresses the problems caused by an inappropriate selection of sliding surface parameters in fuzzy sliding mode controllers via an optimization approach. In particular, the proposed method employs the parallel distributed compensator scheme to design the state feedback based control law. The controller gains are determined in offline mode via a linear quadratic regular. The particle swarm optimization is incorporated into the linear quadratic regular technique for determining the optimal weight matrices. Consequently, an optimal sliding surface is obtained using the scalar $sign$ function. This latter is used to design the proposed control law. Finally, the effectiveness of the proposed fuzzy sliding mode controller based on parallel distributed compensator and using particle swarm optimization is evaluated by comparing the obtained results with other reported in literature.
http://ijfs.usb.ac.ir/article_3326_f3456838d80940d4d0d34d523ff7c0b3.pdf
Sliding mode control
Takagi-Sugeno fuzzy model
Particle swarm optimization
Parallel distributed compensator
Linear quadratic regulator
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
87
98
10.22111/ijfs.2017.3327
3327
مقاله پژوهشی
INTERVAL-VALUED INTUITIONISTIC FUZZY SETS AND SIMILARITY MEASURE
Barbara Pekala
bpekalaur@gmail.com
1
Krzysztof Balicki
kbalicki@ur.edu.pl
2
Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-310 Rzeszow, Poland
Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-310 Rzeszow, Poland
In this paper, the problem of measuring the degree of inclusion and similarity measure for two interval-valued intuitionistic fuzzy sets is considered. We propose inclusion and similarity measure by using order on interval-valued intuitionistic fuzzy sets connected with lexicographical order. Moreover, some properties of inclusion and similarity measure and some correlation, between them and aggregations are examined. Finally, we have included example of ranking problem in car showrooms.
http://ijfs.usb.ac.ir/article_3327_4ffa11fa38d3e5873252092cc9181d0a.pdf
Interval-valued intuitionistic fuzzy sets
Inclusion measure
Similarity measure
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
99
115
10.22111/ijfs.2017.3328
3328
مقاله پژوهشی
TOPOLOGICAL SIMILARITY OF L-RELATIONS
Jing Hao
haojingzy@gmail.com
1
Shasha Huang
s_s_huang@163.com
2
College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450000, China
College of Mathematics and Information, North China University of Water Resources and Electric Power, Zhengzhou, 450045, China
$L$-fuzzy rough sets are extensions of the classical rough sets by relaxing theequivalence relations to $L$-relations. The topological structures induced by$L$-fuzzy rough sets have opened up the way for applications of topological factsand methods in granular computing. In this paper, we firstly prove thateach arbitrary $L$-relation can generate an Alexandrov $L$-topology.Based on this fact, we introduce the topological similarity of $L$-relations,denote it by T-similarity, and we give intuitive characterization ofT-similarity. Then we introduce the variations of a given $L$-relation andinvestigate the relationship among them. Moreover, we prove that each$L$-relation is uniquely topological similar to an $L$-preorder. Finally,we investigate the related algebraic structures of different sets of$L$-relations on the universe.
http://ijfs.usb.ac.ir/article_3328_9d91e0d6e83d4532a68b2d14d8756c97.pdf
$L$-fuzzy rough set
$L$-relation
Alexandrov $L$-topology
$L$-preorder
Topological similarity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
117
137
10.22111/ijfs.2017.3329
3329
مقاله پژوهشی
FUZZY INCLUSION LINEAR SYSTEMS
Mojtaba Ghanbari
ghanbari@aliabadiau.ac.ir
1
Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
In 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.
http://ijfs.usb.ac.ir/article_3329_0c798ba6903291db932f68673982de92.pdf
Fuzzy linear system
Fuzzy inclusion linear system
Fuzzy solution set
Lower $r$-boundary
Upper $r$-boundary
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
139
161
10.22111/ijfs.2017.3330
3330
مقاله پژوهشی
STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES
Hongjun Zhou
1
Hui-Xian Shi
rubyshi@163.com
2
School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, CHINA
School of Mathematics and Information Science, Shaanxi Normal University
$Rsb{0}$-algebras, which were proved to be equivalent to Esteva and Godo's NM-algebras modelled by Fodor's nilpotent minimum t-norm, are the equivalent algebraic semantics of the left-continuous t-norm based fuzzy logic firstly introduced by Guo-jun Wang in the mid 1990s.In this paper, we first establish a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras and the category of three-valued Stone spaces.Then we extend Flaminio-Montagna internal states to $Rsb{0}$-algebras.Such internal states must be idempotent MV-endomorphisms of $Rsb{0}$-algebras.Lastly we present a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras with Flaminio-Montagna internal states and the category of three-valued Stone spaces with Zadeh type idempotent continuous endofunctions.These dualities provide a topological viewpoint for better understanding of the algebraic structures of $Rsb{0}$-algebras.
http://ijfs.usb.ac.ir/article_3330_f12a0f74c6087b8efa1b0345bf21060c.pdf
$Rsb{0}$-algebra
Nilpotent minimum algebra
MV-skeleton
internal state
Stone duality
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-30
14
4
163
168
10.22111/ijfs.2017.3331
3331
مقاله پژوهشی
REDUNDANCY OF MULTISET TOPOLOGICAL SPACES
A. Ghareeb
nasserfuzt@hotmail.com
1
Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
In 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.
http://ijfs.usb.ac.ir/article_3331_e60d0f147e0b8583bab007f0010335f2.pdf
Multiset
Multiset topology
Isomorphism
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2017-08-01
14
4
171
179
10.22111/ijfs.2017.3333
3333
مقاله پژوهشی
Persian-translation vol. 14, no. 4, August 2017
http://ijfs.usb.ac.ir/article_3333_1a06dcc38f465140c0747a83fca3fe11.pdf