eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
0
10.22111/ijfs.2014.2685
2685
Cover vol. 11, no. 4, August 2014
http://ijfs.usb.ac.ir/article_2685_df3214bfd0e8e4edcfffc5530c0163ea.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
1
13
10.22111/ijfs.2014.1620
1620
مقاله پژوهشی
Robust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays
M. Syed Ali
syedgru@gmail.com
1
Department of Mathematics, Thiruvalluvar University, Vellore - 632 106, Tamilnadu, India
In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural networks with time-varyingdelays. The results are related to the size of delay and impulses.Finally, numerical examples and simulations are given to demonstrate the correctness of the theoretical results.
http://ijfs.usb.ac.ir/article_1620_41dafc9887d401c5a0000ccd84aea553.pdf
Global asymptotic stability
Impulsive perturbations
Stochastic fuzzy recurrent neural networks
Time-varying delays
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
15
22
10.22111/ijfs.2014.1621
1621
مقاله پژوهشی
Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Ces`{a}ro summability of its generator sequence
Ibrahim Canak
ibrahim.canak@ege.edu.tr
1
Department of Mathematics, Ege University, 35100, Izmir, Turkey
Let $(u_n)$ be a sequence of fuzzy numbers. We recover the slow oscillation of $(u_n)$ of fuzzy numbers from the Ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. Further, fuzzy analogues of some well known classical Tauberian theorems for Ces`{a}ro summability method are established as particular cases.
http://ijfs.usb.ac.ir/article_1621_c2384221ff3393272720aaa1f664d782.pdf
Ces`{a}ro summability
Slow oscillation
Tauberian theorems
Sequences of fuzzy numbers
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
23
43
10.22111/ijfs.2014.1622
1622
مقاله پژوهشی
A duality between fuzzy domains and strongly completely distributive $L$-ordered sets
W. Yao
yaowei0516@163.com
1
B. Zhao
zhaobin@snnu.edu.cn
2
Department of Mathematics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China
Department of Mathematics, Shaanxi Normal University, Xi'an 710062, P.R. China
The aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. All values aretaken in a fixed frame $L$. A definition of (strongly) completelydistributive $L$-ordered sets is introduced. The main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $L$-orderedsets. The results in this paper establish close connections amongfuzzy-set approach of quantitative domains and fuzzy topology withmodified $L$-sober spaces and spatial $L$-frames as links. Inaddition, some mistakes in [K.R. Wagner, Liminf convergence in$Omega$-categories, Theoretical Computer Science 184 (1997)61--104] are pointed out.
http://ijfs.usb.ac.ir/article_1622_dad91c3aea817c8872a7af7d2eb80c03.pdf
Fuzzy DCPO
Fuzzy domain
Fuzzy Scott
topology
(Spatial) $L$-frame
$L$-frame homomorphism
(Strongly)
Completely distributive $L$-ordered set
Modified $L$-sober
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
45
60
10.22111/ijfs.2014.1623
1623
مقاله پژوهشی
Convergence of a semi-analytical method on the fuzzy linear systems
Mojtaba Ghanbari
mojtaba.ghanbari@gmail.com
1
Rahele Nuraei
rahele.nuraei@gmail.com
2
Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
In this paper, we apply the homotopy analysis method (HAM) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the results of the HAM and several well-known numerical algorithms such as Jacobi method (JM), Gauss-Seidel method (GSM), successive over relaxation method (SOR), Adomian decomposition method (ADM) and homotopy perturbation method (HPM).
http://ijfs.usb.ac.ir/article_1623_7d9b0b310e31e8b8041af9982d4fdddf.pdf
Fuzzy linear system
Homotopy analysis method
Convergence-control parameter
Numerical algorithms
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
61
73
10.22111/ijfs.2014.1624
1624
مقاله پژوهشی
Fuzzy Acts over Fuzzy Semigroups and Sheaves
M. Haddadi
m.haddadi@semnan.ac.ir
1
Department of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran
lthough fuzzy set theory and sheaf theory have been developed and studied independently, Ulrich Hohle shows that a large part of fuzzy set theory is in fact a subfield of sheaf theory. Many authors have studied mathematical structures, in particular, algebraic structures, in both categories of these generalized (multi)sets. Using Hohle's idea, we show that for a (universal) algebra $A$, the set of fuzzy algebras over $A$ and the set of subalgebras of the constant sheaf of algebras over $A$ are order isomorphic. Then, among other things, we study the category of fuzzy acts over a fuzzy semigroup, so to say, with its universal algebraic as well as classic algebraic definitions.
http://ijfs.usb.ac.ir/article_1624_7915f082437e766d5e60d3f04c95a162.pdf
fuzzy algebra
fuzzy act
sheaf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
75
85
10.22111/ijfs.2014.1625
1625
مقاله پژوهشی
A note on convergence in fuzzy metric spaces
Valentn Gregori
vgregori@mat.upv.es
1
Juan-Jose Minana
jj.minana@uib.es
2
Samuel Morillas
smorillas@mat.upv.es
3
Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,ast)$ is a fuzzy metric on $X$ where $N_M(x,y)=bigwedge{M(x,y,t):t>0}$ then it is proved that the topologies deduced from $M$ and $N_M$ coincide if and only if $M$ is an $s$-fuzzy metric.
http://ijfs.usb.ac.ir/article_1625_4434683a72324a1c1ff35fc7fe0b6565.pdf
Fuzzy metric space
principal fuzzy metric
$p$-convergence
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-30
11
4
87
93
10.22111/ijfs.2014.1626
1626
مقاله پژوهشی
H"{o}lder summability method of fuzzy numbers and a Tauberian theorem
Ibrahim Canak
ibrahim.canak@ege.edu.tr
1
Department of Mathematics, Ege University, 35100, Izmir, Turkey
In this paper we establish a Tauberian condition under which convergence follows from H"{o}lder summability of sequences of fuzzy numbers.
http://ijfs.usb.ac.ir/article_1626_6d6b326e6429a049c79be13e505260bb.pdf
H"{o}lder means
Slow
oscillation
Tauberian theorems
Fuzzy numbers
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-08-01
11
4
97
103
10.22111/ijfs.2014.2686
2686
Persian-translation vol. 11, no. 4, August 2014
http://ijfs.usb.ac.ir/article_2686_9fb11a1425907d3407c92ae6a853c5b2.pdf