eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-29
11
2
0
10.22111/ijfs.2014.2689
2689
Cover vol. 11, no. 2, April 2014
http://ijfs.usb.ac.ir/article_2689_a17fce2d509559234170a990332be23c.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-25
11
2
1
16
10.22111/ijfs.2014.1487
1487
مقاله پژوهشی
Robust stability of fuzzy Markov type Cohen-Grossberg neural networks by delay decomposition approach
R. Sathy
maths sathy@yahoo.co.in
1
P. Balasubramaniam
balugru@gmail.com
2
R. Chandran
rchandran62@gmail.com
3
Department of Social Sciences, Tamil Nadu Agricultural University, Coim-
batore - 641 003, Tamilnadu, India
Department of Mathematics, Gandhigram Rural Institute -
Deemed University, Gandhigram - 624 302, Tamilnadu, India
Department of Computer Science, Government Arts College, Melur,
Madurai - 625 106, Tamilnadu, India
In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matrices corresponding to different subintervals in the LKFs. A new delay-dependent stability condition is derived with Markovian jumping parameters by T-S fuzzy model. Based on the linear matrix inequality (LMI) technique, maximum admissible upper bound (MAUB) for the discrete and distributed delays are calculated by the LMI Toolbox in MATLAB. Numerical examples are given to illustrate the effectiveness of the proposed method.
http://ijfs.usb.ac.ir/article_1487_2e09cf8ecab37abf1c8c575f604447c9.pdf
Cohen-Grossberg neural networks
T-S fuzzy
Markovian jumping parameter
Linear matrix inequality
Lyapunov-Krasovskii functional
Maximum admissible upper bound
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-25
11
2
17
25
10.22111/ijfs.2014.1488
1488
مقاله پژوهشی
The Inclusion-Exclusion Principle for IF-States
L. C. Ciungu
lavinia-ciungu@uiowa.edu;lcciungu@yahoo.com
1
B. Riecan
beloslav.riecan@umb.sk
2
Department of Mathematics, University of Iowa, 14 MacLean Hall,
Iowa City, Iowa 52242-1419, USA
Department of Mathematics, Faculty of Natural Sciences, Matej Bel
University, Tajovskeho 40, Banska Bystrica, Slovakia
Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by extending some results regarding the classical probabilities to the case of the IF-states.
http://ijfs.usb.ac.ir/article_1488_52169ce274520c82027e0cb7503300e2.pdf
IF-set
IF-event
IFS-probability
IF-state
Inclusion-exclusion principle
Boole inequality
Bonferroni inequality
L ukasiewicz connectives
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-25
11
2
27
43
10.22111/ijfs.2014.1489
1489
مقاله پژوهشی
Pontryagin's Minimum Principle for Fuzzy Optimal Control Problems
B. Farhadinia
bfarhadinia@yahoo.com.au
1
Department of Mathematics, Quchan University of Advanced Tech-
nologies, Iran
The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.
http://ijfs.usb.ac.ir/article_1489_54bea4f65c7991c187a2246dc5bb4635.pdf
Fuzzy optimal control problems
Fuzzy Pontryagin's minimum principle
$alpha$-level sets
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
45
57
10.22111/ijfs.2014.1490
1490
مقاله پژوهشی
An interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
Deng-Feng Li
lidengfeng@fzu.edu.cn; dengfengli@sina.com
1
Jiang-Xia Nan
jiangxia1107@163.com
2
School of Management, Fuzhou University, No.2, Xueyuan Road, Daxue New District, Fuzhou 350108, Fujian, China
School of Mathematics and Computing Sciences, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
The purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concept of solutions for matrix games with payoffs of TIFNs is introduced. A pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies and the value of the matrix game with payoffs of TIFNs. Based on the cut sets and ranking order relations between TIFNs, the intuitionistic fuzzy programming models are transformed into linear programming models, which are solved using the existing simplex method. Validity and applicability of the proposed methodology are illustrated with a numerical example of the market share problem.
http://ijfs.usb.ac.ir/article_1490_cc13bae36ab04924dfa2f0cc36db934a.pdf
Interval programming
Intuitionistic fuzzy set
Triangular intuitionistic fuzzy numbers
Matrix game
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
59
70
10.22111/ijfs.2014.1502
1502
مقاله پژوهشی
Fuzzy Relational Matrix-Based Stability Analysis for First-Order Fuzzy Relational Dynamic Systems
Arya Aghili Ashtiani
arya.aghili@aut.ac.ir
1
Seyed Kamaleddin Yadavar Nikravesh
nikravsh@aut.ac.ir
2
Electrical Engineering Department, Amirkabir University of Technology (AUT), Tehran, Iran
Electrical Engineering Department, Amirk- abir University of Technology (AUT), Tehran, Iran
In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique equilibrium point of unforced first-order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model.In the first approach, the equilibrium point of the system is one of the centers of the related membership functions.In the second approach, the equilibrium point of the system is the origin (the center of the middle membership function) and the behavior of the system, though can be nonlinear, is symmetric around the origin.The results are approved by numerical examples.
http://ijfs.usb.ac.ir/article_1502_2c02a384d51dd008b2c6e809ef5c5282.pdf
Fuzzy relational dynamic system (FRDS)
Linguistic stability
Equilibrium point
Fixed-point
Special symmetric matrix/matrices
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
71
88
10.22111/ijfs.2014.1503
1503
مقاله پژوهشی
Fuzzy collocation methods for second- order fuzzy Abel-Volterra integro-differential equations
S. S. Behzadi
shadan behzadi@yahoo.com
1
T. Allahviranloo
tofigh@allahviranloo.com
2
S. Abbasbandy
abbasbandy@yahoo.com
3
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Department of Mathematics, Science and Research Branch, Is- lamic Azad University, Tehran, Iran.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
In this paper we intend to offer new numerical methods to solve the second-order fuzzy Abel-Volterraintegro-differential equations under the generalized $H$-differentiability. The existence and uniqueness of thesolution and convergence of the proposed methods are proved in details and the efficiency of the methods is illustrated through a numerical example.
http://ijfs.usb.ac.ir/article_1503_16fc85fe2010a45fffad9dde7cdf39dc.pdf
acobi polynomials
Airfoil polynomials
Collocation method
Fuzzy integro-differential equations
Abel and Volterra integral equations
Generalized differentiability
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
89
101
10.22111/ijfs.2014.1504
1504
مقاله پژوهشی
Fuzzy projective modules and tensor products in fuzzy module categories
Hongxing Liu
lhxshanda@163.com
1
School of Mathematical Sciences, Shandong Normal University, 250014, Jinan, P. R. China
Let $R$ be a commutative ring. We write $mbox{Hom}(mu_A, nu_B)$ for the set of all fuzzy $R$-morphisms from $mu_A$ to $nu_B$, where $mu_A$ and $nu_B$ are two fuzzy $R$-modules. We make$mbox{Hom}(mu_A, nu_B)$ into fuzzy $R$-module by redefining a function $alpha:mbox{Hom}(mu_A, nu_B)longrightarrow [0,1]$. We study the properties of the functor $mbox{Hom}(mu_A,-):FRmbox{-Mod}rightarrow FRmbox{-Mod}$ and get some unexpected results. In addition, we prove that$mbox{Hom}(xi_p,-)$ is exact if and only if $xi_P$ is a fuzzy projective $R$-module, when $R$ is a commutative semiperfect ring.Finally, we investigate tensor product of two fuzzy $R$-modules and get some related properties. Also, we study the relationships between Hom functor and tensor functor.
http://ijfs.usb.ac.ir/article_1504_777e67e6df897551b7b62c84f5735ef2.pdf
Fuzzy set
Hom functor
Fuzzy
projective $R$-module
Fuzzy $R$-module
Tensor product
Functor
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
103
112
10.22111/ijfs.2014.1505
1505
مقاله پژوهشی
Fixed Points Theorems with respect to \fuzzy w-distance
Nabi Shobkolaei
nabi_shobe@yahoo.com
1
S. Mansour Vaezpour
vaez@aut.ac.ir
2
Shaban Sedghi
sedghi_gh@yahoo.com
3
Department of Mathematics, Islamic Azad University, Science and Research Branch, 14778 93855 Tehran, Iran
Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
Department of Mathematics, Qaemshahr Branch, Islamic Azad Uni- versity, Qaemshahr , Iran
In this paper, we shall introduce the fuzzyw-distance, then prove a common fixed point theorem with respectto fuzzy w-distance for two mappings under the condition ofweakly compatible in complete fuzzy metric spaces.
http://ijfs.usb.ac.ir/article_1505_754c1cf7f26412469fbb2e98e14a355a.pdf
Fuzzy w-distance
Fuzzy metric contractive mapping
Complete fuzzy metric
space
Common fixed point theorem
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
113
120
10.22111/ijfs.2014.1506
1506
مقاله پژوهشی
Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces
A. Amini-Harandi
aminih_a@yahoo.com
1
Department of Pure Mathematics, University of Shahrekord, Shahrekord, 88186-34141 Iran and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran
In this paper, we introduce a new concept of fuzzy generalizedcontraction and give a fixed point result for such mappings in the setting of fuzzy M-complete metric spaces. We also give an affirmative partial answer to a question posed by Wardowski [D. Wardowski, Fuzzy contractive mappings and fixed points in fuzzy metric spaces, Fuzzy Set Syst., {bf 222}(2013), 108-114].Some examples are also given to support our main result.
http://ijfs.usb.ac.ir/article_1506_30d500cfa098672f22d4721e54396f7e.pdf
Fuzzy metric space
Fuzzy generalized contractive mapping
Fixed point
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-28
11
2
121
139
10.22111/ijfs.2014.1507
1507
مقاله پژوهشی
Some Properties of Fuzzy Norm of Linear Operators
M. Saheli
1
A. Hasankhani
abhasan@mail.uk.ac.ir
2
A. Nazari
nazari@ mail.uk.ac.ir
3
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran
Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.
http://ijfs.usb.ac.ir/article_1507_c3be1a4ebdc957d15c09667519e4e94f.pdf
Fuzzy norm
Fuzzy normed linear space
Fuzzy bounded linear operator
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-04-29
11
2
143
152
10.22111/ijfs.2014.2690
2690
Persian-translation vol. 11, no. 2, April 2014
http://ijfs.usb.ac.ir/article_2690_7ed330422e25dc530a97adda9a4a3ebc.pdf