2018-05-25T07:30:42Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=257
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Cover vol. 11, no. 2, April 2014
2014
04
29
0
http://ijfs.usb.ac.ir/article_2689_a17fce2d509559234170a990332be23c.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Robust stability of fuzzy Markov type Cohen-Grossberg neural networks by delay decomposition approach
R.
Sathy
P.
Balasubramaniam
R.
Chandran
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
2014
04
25
1
16
http://ijfs.usb.ac.ir/article_1487_2e09cf8ecab37abf1c8c575f604447c9.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
The Inclusion-Exclusion Principle for IF-States
L. C.
Ciungu
B.
Riecan
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
2014
04
25
17
25
http://ijfs.usb.ac.ir/article_1488_52169ce274520c82027e0cb7503300e2.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Pontryagin's Minimum Principle for Fuzzy Optimal Control Problems
B.
Farhadinia
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
2014
04
25
27
43
http://ijfs.usb.ac.ir/article_1489_54bea4f65c7991c187a2246dc5bb4635.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
An interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
Deng-Feng
Li
Jiang-Xia
Nan
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
2014
04
28
45
57
http://ijfs.usb.ac.ir/article_1490_cc13bae36ab04924dfa2f0cc36db934a.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Fuzzy Relational Matrix-Based Stability Analysis for First-Order Fuzzy Relational Dynamic Systems
Arya Aghili
Ashtiani
Seyed Kamaleddin
Yadavar Nikravesh
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
2014
04
28
59
70
http://ijfs.usb.ac.ir/article_1502_2c02a384d51dd008b2c6e809ef5c5282.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Fuzzy collocation methods for second- order fuzzy Abel-Volterra integro-differential equations
S. S.
Behzadi
T.
Allahviranloo
S.
Abbasbandy
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
2014
04
28
71
88
http://ijfs.usb.ac.ir/article_1503_16fc85fe2010a45fffad9dde7cdf39dc.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Fuzzy projective modules and tensor products in fuzzy module categories
Hongxing
Liu
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
2014
04
28
89
101
http://ijfs.usb.ac.ir/article_1504_777e67e6df897551b7b62c84f5735ef2.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Fixed Points Theorems with respect to \fuzzy w-distance
Nabi
Shobkolaei
S. Mansour
Vaezpour
Shaban
Sedghi
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
2014
04
28
103
112
http://ijfs.usb.ac.ir/article_1505_754c1cf7f26412469fbb2e98e14a355a.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces
A.
Amini-Harandi
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
2014
04
28
113
120
http://ijfs.usb.ac.ir/article_1506_30d500cfa098672f22d4721e54396f7e.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Some Properties of Fuzzy Norm of Linear Operators
M.
Saheli
A.
Hasankhani
A.
Nazari
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
2014
04
28
121
139
http://ijfs.usb.ac.ir/article_1507_c3be1a4ebdc957d15c09667519e4e94f.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2014
11
2
Persian-translation vol. 11, no. 2, April 2014
2014
04
29
143
152
http://ijfs.usb.ac.ir/article_2690_7ed330422e25dc530a97adda9a4a3ebc.pdf