University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
29
Cover vol. 11, no. 2, April 2014
0
EN
10.22111/ijfs.2014.2689
http://ijfs.usb.ac.ir/article_2689.html
http://ijfs.usb.ac.ir/article_2689_a17fce2d509559234170a990332be23c.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
25
Robust stability of fuzzy Markov type Cohen-Grossberg neural networks by delay decomposition approach
1
16
EN
R.
Sathy
Department of Social Sciences, Tamil Nadu Agricultural University, Coim-
batore - 641 003, Tamilnadu, India
maths sathy@yahoo.co.in
P.
Balasubramaniam
Department of Mathematics, Gandhigram Rural Institute -
Deemed University, Gandhigram - 624 302, Tamilnadu, India
balugru@gmail.com
R.
Chandran
Department of Computer Science, Government Arts College, Melur,
Madurai - 625 106, Tamilnadu, India
rchandran62@gmail.com
10.22111/ijfs.2014.1487
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.
Cohen-Grossberg neural networks,T-S fuzzy,Markovian jumping parameter,Linear matrix inequality,Lyapunov-Krasovskii functional,Maximum admissible upper bound
http://ijfs.usb.ac.ir/article_1487.html
http://ijfs.usb.ac.ir/article_1487_2e09cf8ecab37abf1c8c575f604447c9.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
25
The Inclusion-Exclusion Principle for IF-States
17
25
EN
L. C.
Ciungu
Department of Mathematics, University of Iowa, 14 MacLean Hall,
Iowa City, Iowa 52242-1419, USA
lavinia-ciungu@uiowa.edu;lcciungu@yahoo.com
B.
Riecan
Department of Mathematics, Faculty of Natural Sciences, Matej Bel
University, Tajovskeho 40, Banska Bystrica, Slovakia
beloslav.riecan@umb.sk
10.22111/ijfs.2014.1488
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.
IF-set,IF-event,IFS-probability,IF-state,Inclusion-exclusion principle,Boole inequality,Bonferroni inequality,L ukasiewicz connectives
http://ijfs.usb.ac.ir/article_1488.html
http://ijfs.usb.ac.ir/article_1488_52169ce274520c82027e0cb7503300e2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
25
Pontryagin's Minimum Principle for Fuzzy Optimal Control Problems
27
43
EN
B.
Farhadinia
Department of Mathematics, Quchan University of Advanced Tech-
nologies, Iran
bfarhadinia@yahoo.com.au
10.22111/ijfs.2014.1489
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.
Fuzzy optimal control problems,Fuzzy Pontryagin's minimum principle,$\alpha$-level sets
http://ijfs.usb.ac.ir/article_1489.html
http://ijfs.usb.ac.ir/article_1489_54bea4f65c7991c187a2246dc5bb4635.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
An interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
45
57
EN
Deng-Feng
Li
School of Management, Fuzhou University, No.2, Xueyuan Road,
Daxue New District, Fuzhou 350108, Fujian, China
lidengfeng@fzu.edu.cn; dengfengli@sina.com
Jiang-Xia
Nan
School of Mathematics and Computing Sciences, Guilin University of
Electronic Technology, Guilin, Guangxi 541004, China
jiangxia1107@163.com
10.22111/ijfs.2014.1490
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.
Interval programming,Intuitionistic fuzzy set,Triangular intuitionistic fuzzy numbers,Matrix game
http://ijfs.usb.ac.ir/article_1490.html
http://ijfs.usb.ac.ir/article_1490_cc13bae36ab04924dfa2f0cc36db934a.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
Fuzzy Relational Matrix-Based Stability Analysis for First-Order Fuzzy Relational Dynamic Systems
59
70
EN
Arya Aghili
Ashtiani
Electrical Engineering Department, Amirkabir University of
Technology (AUT), Tehran, Iran
arya.aghili@aut.ac.ir
Seyed Kamaleddin
Yadavar Nikravesh
Electrical Engineering Department, Amirk-
abir University of Technology (AUT), Tehran, Iran
nikravsh@aut.ac.ir
10.22111/ijfs.2014.1502
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.
Fuzzy relational dynamic system (FRDS),Linguistic stability,Equilibrium point,Fixed-point,Special symmetric matrix/matrices
http://ijfs.usb.ac.ir/article_1502.html
http://ijfs.usb.ac.ir/article_1502_2c02a384d51dd008b2c6e809ef5c5282.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
Fuzzy collocation methods for second- order fuzzy Abel-Volterra integro-differential equations
71
88
EN
S. S.
Behzadi
Department of Mathematics, Islamic Azad University, Qazvin Branch,
Qazvin, Iran.
shadan behzadi@yahoo.com
T.
Allahviranloo
Department of Mathematics, Science and Research Branch, Is-
lamic Azad University, Tehran, Iran.
tofigh@allahviranloo.com
S.
Abbasbandy
Department of Mathematics, Science and Research Branch, Islamic
Azad University, Tehran, Iran.
abbasbandy@yahoo.com
10.22111/ijfs.2014.1503
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.
acobi polynomials,Airfoil polynomials,Collocation method,Fuzzy integro-differential equations,Abel and Volterra integral equations,Generalized differentiability
http://ijfs.usb.ac.ir/article_1503.html
http://ijfs.usb.ac.ir/article_1503_16fc85fe2010a45fffad9dde7cdf39dc.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
Fuzzy projective modules and tensor products in fuzzy module categories
89
101
EN
Hongxing
Liu
School of Mathematical Sciences, Shandong Normal University, 250014,
Jinan, P. R. China
lhxshanda@163.com
10.22111/ijfs.2014.1504
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.
Fuzzy set,Hom functor,Fuzzy
projective $R$-module,Fuzzy $R$-module,Tensor product,Functor
http://ijfs.usb.ac.ir/article_1504.html
http://ijfs.usb.ac.ir/article_1504_777e67e6df897551b7b62c84f5735ef2.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
Fixed Points Theorems with respect to \fuzzy w-distance
103
112
EN
Nabi
Shobkolaei
Department of Mathematics, Islamic Azad University, Science and
Research Branch, 14778 93855 Tehran, Iran
nabi_shobe@yahoo.com
S. Mansour
Vaezpour
Department of Mathematics and Computer Science, Amirkabir
University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
vaez@aut.ac.ir
Shaban
Sedghi
Department of Mathematics, Qaemshahr Branch, Islamic Azad Uni-
versity, Qaemshahr , Iran
sedghi_gh@yahoo.com
10.22111/ijfs.2014.1505
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.
Fuzzy w-distance,Fuzzy metric contractive mapping,Complete fuzzy metric
space,Common fixed point theorem
http://ijfs.usb.ac.ir/article_1505.html
http://ijfs.usb.ac.ir/article_1505_754c1cf7f26412469fbb2e98e14a355a.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces
113
120
EN
A.
Amini-Harandi
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
aminih_a@yahoo.com
10.22111/ijfs.2014.1506
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.
Fuzzy metric space,Fuzzy generalized contractive mapping,Fixed point
http://ijfs.usb.ac.ir/article_1506.html
http://ijfs.usb.ac.ir/article_1506_30d500cfa098672f22d4721e54396f7e.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
28
Some Properties of Fuzzy Norm of Linear Operators
121
139
EN
M.
Saheli
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf-
sanjan, Iran
A.
Hasankhani
Department of Mathematics, Islamic Azad University, Kerman Branch,
Kerman, Iran
abhasan@mail.uk.ac.ir
A.
Nazari
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
nazari@ mail.uk.ac.ir
10.22111/ijfs.2014.1507
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.
Fuzzy norm,Fuzzy normed linear space,Fuzzy bounded linear operator
http://ijfs.usb.ac.ir/article_1507.html
http://ijfs.usb.ac.ir/article_1507_c3be1a4ebdc957d15c09667519e4e94f.pdf
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
11
2
2014
04
29
Persian-translation vol. 11, no. 2, April 2014
143
152
EN
10.22111/ijfs.2014.2690
http://ijfs.usb.ac.ir/article_2690.html
http://ijfs.usb.ac.ir/article_2690_7ed330422e25dc530a97adda9a4a3ebc.pdf