University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140429Cover vol. 11, no. 2, April 20140268910.22111/ijfs.2014.2689ENJournal Article20161017https://ijfs.usb.ac.ir/article_2689_a17fce2d509559234170a990332be23c.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140425Robust stability of fuzzy Markov type Cohen-Grossberg neural networks by delay decomposition approach116148710.22111/ijfs.2014.1487ENR.SathyDepartment of Social Sciences, Tamil Nadu Agricultural University, Coim-
batore - 641 003, Tamilnadu, IndiaP.BalasubramaniamDepartment of Mathematics, Gandhigram Rural Institute -
Deemed University, Gandhigram - 624 302, Tamilnadu, India0000-0001-9673-5949R.ChandranDepartment of Computer Science, Government Arts College, Melur,
Madurai - 625 106, Tamilnadu, IndiaJournal Article20100826In 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.https://ijfs.usb.ac.ir/article_1487_2e09cf8ecab37abf1c8c575f604447c9.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140425The Inclusion-Exclusion Principle for IF-States1725148810.22111/ijfs.2014.1488ENL. C.CiunguDepartment of Mathematics, University of Iowa, 14 MacLean Hall,
Iowa City, Iowa 52242-1419, USAB.RiecanDepartment of Mathematics, Faculty of Natural Sciences, Matej Bel
University, Tajovskeho 40, Banska Bystrica, SlovakiaJournal Article20121126Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.<br />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.<br />Finally, we give some applications of this principle by extending some results regarding the classical probabilities to the case of the IF-states.https://ijfs.usb.ac.ir/article_1488_52169ce274520c82027e0cb7503300e2.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140425Pontryagin's Minimum Principle for Fuzzy Optimal Control Problems2743148910.22111/ijfs.2014.1489ENB.FarhadiniaDepartment of Mathematics, Quchan University of Advanced Tech-
nologies, Iran0000000325808789Journal Article20120526The 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.https://ijfs.usb.ac.ir/article_1489_54bea4f65c7991c187a2246dc5bb4635.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428An interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers4557149010.22111/ijfs.2014.1490ENDeng-FengLiSchool of Management, Fuzhou University, No.2, Xueyuan Road,
Daxue New District, Fuzhou 350108, Fujian, ChinaJiang-XiaNanSchool of Mathematics and Computing Sciences, Guilin University of
Electronic Technology, Guilin, Guangxi 541004, ChinaJournal Article20120126The 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.https://ijfs.usb.ac.ir/article_1490_cc13bae36ab04924dfa2f0cc36db934a.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Fuzzy Relational Matrix-Based Stability Analysis for First-Order Fuzzy Relational Dynamic Systems5970150210.22111/ijfs.2014.1502ENArya AghiliAshtianiElectrical Engineering Department, Amirkabir University of
Technology (AUT), Tehran, IranSeyed KamaleddinYadavar NikraveshElectrical Engineering Department, Amirk-
abir University of Technology (AUT), Tehran, IranJournal Article20120303In 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.<br />In the first approach, the equilibrium point of the system is one of the centers of the related membership functions.<br />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.<br />The results are approved by numerical examples.https://ijfs.usb.ac.ir/article_1502_2c02a384d51dd008b2c6e809ef5c5282.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Fuzzy collocation methods for second- order fuzzy Abel-Volterra integro-differential equations7188150310.22111/ijfs.2014.1503ENS. S.BehzadiDepartment of Mathematics, Islamic Azad University, Qazvin Branch,
Qazvin, Iran.T.AllahviranlooDepartment of Mathematics, Science and Research Branch, Is-
lamic Azad University, Tehran, Iran.0000-0002-6673-3560S.AbbasbandyDepartment of Mathematics, Science and Research Branch, Islamic
Azad University, Tehran, Iran.0000-0003-3385-4152Journal Article20130103In this paper we intend to offer new numerical methods to solve the second-order fuzzy Abel-Volterra<br />integro-differential equations under the generalized $H$-differentiability. The existence and uniqueness of the<br />solution and convergence of the proposed methods are proved in details and the efficiency of the methods is illustrated through a numerical example.https://ijfs.usb.ac.ir/article_1503_16fc85fe2010a45fffad9dde7cdf39dc.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Fuzzy projective modules and tensor products in fuzzy module categories89101150410.22111/ijfs.2014.1504ENHongxingLiuSchool of Mathematical Sciences, Shandong Normal University, 250014,
Jinan, P. R. ChinaJournal Article20110603Let $R$ 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<br />$mbox{Hom}(mu_A, nu_B)$ 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<br />$mbox{Hom}(xi_p,-)$ is exact if and only if $xi_P$ is a fuzzy projective $R$-module, when $R$ is a commutative semiperfect ring.<br />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.https://ijfs.usb.ac.ir/article_1504_777e67e6df897551b7b62c84f5735ef2.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Fixed Points Theorems with respect to \fuzzy w-distance103112150510.22111/ijfs.2014.1505ENNabiShobkolaeiDepartment of Mathematics, Islamic Azad University, Science and
Research Branch, 14778 93855 Tehran, IranS. MansourVaezpourDepartment of Mathematics and Computer Science, Amirkabir
University of Technology, 424 Hafez Avenue, Tehran 15914, IranShabanSedghiDepartment of Mathematics, Qaemshahr Branch, Islamic Azad Uni-
versity, Qaemshahr , IranJournal Article20110403In this paper, we shall introduce the fuzzy<br />w-distance, then prove a common fixed point theorem with respect<br />to fuzzy w-distance for two mappings under the condition of<br />weakly compatible in complete fuzzy metric spaces.https://ijfs.usb.ac.ir/article_1505_754c1cf7f26412469fbb2e98e14a355a.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces113120150610.22111/ijfs.2014.1506ENA.Amini-HarandiDepartment 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, IranJournal Article20130603In this paper, we introduce a new concept of fuzzy generalized<br />contraction and give a fixed point result for such mappings in the setting of fuzzy M-complete metric spaces.<br /> We also give an affirmative partial answer to a question posed by Wardowski<br /> [D. Wardowski, Fuzzy contractive mappings and fixed points in fuzzy metric spaces,<br /> Fuzzy Set Syst., {bf 222}(2013), 108-114].<br />Some examples are also given to support our main result.https://ijfs.usb.ac.ir/article_1506_30d500cfa098672f22d4721e54396f7e.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Some Properties of Fuzzy Norm of Linear Operators121139150710.22111/ijfs.2014.1507ENM.SaheliDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Raf-
sanjan, IranA.HasankhaniDepartment of Mathematics, Islamic Azad University, Kerman Branch,
Kerman, IranA.NazariDepartment of Mathematics, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20120304In 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.https://ijfs.usb.ac.ir/article_1507_c3be1a4ebdc957d15c09667519e4e94f.pdfUniversity of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140429Persian-translation vol. 11, no. 2, April 2014143152269010.22111/ijfs.2014.2690ENJournal Article20161017https://ijfs.usb.ac.ir/article_2690_7ed330422e25dc530a97adda9a4a3ebc.pdf