Cover vol. 11, no. 4, August 2014
text
article
2014
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
0
http://ijfs.usb.ac.ir/article_2685_df3214bfd0e8e4edcfffc5530c0163ea.pdf
dx.doi.org/10.22111/ijfs.2014.2685
Robust stability of stochastic fuzzy impulsive recurrent neural networks with\\ time-varying delays
M.
Syed Ali
Department of Mathematics, Thiruvalluvar University, Vellore - 632
106, Tamilnadu, India
author
text
article
2014
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
1
13
http://ijfs.usb.ac.ir/article_1620_41dafc9887d401c5a0000ccd84aea553.pdf
dx.doi.org/10.22111/ijfs.2014.1620
Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Ces\`{a}ro summability of its generator sequence
Ibrahim
Canak
Department of Mathematics, Ege University, 35100, Izmir, Turkey
author
text
article
2014
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
15
22
http://ijfs.usb.ac.ir/article_1621_c2384221ff3393272720aaa1f664d782.pdf
dx.doi.org/10.22111/ijfs.2014.1621
A duality between fuzzy domains and strongly completely distributive $L$-ordered sets
W.
Yao
Department of Mathematics, Hebei University of Science and Technology,
Shijiazhuang 050018, P.R. China
author
B.
Zhao
Department of Mathematics, Shaanxi Normal University, Xi'an 710062,
P.R. China
author
text
article
2014
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
23
43
http://ijfs.usb.ac.ir/article_1622_dad91c3aea817c8872a7af7d2eb80c03.pdf
dx.doi.org/10.22111/ijfs.2014.1622
Convergence of a semi-analytical method on the fuzzy linear systems
Mojtaba
Ghanbari
Department of Mathematics, Aliabad Katoul Branch, Islamic
Azad University, Aliabad Katoul, Iran
author
Rahele
Nuraei
Department of Mathematics, South Tehran Branch, Islamic Azad
University, Tehran, Iran
author
text
article
2014
eng
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).
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
45
60
http://ijfs.usb.ac.ir/article_1623_7d9b0b310e31e8b8041af9982d4fdddf.pdf
dx.doi.org/10.22111/ijfs.2014.1623
Fuzzy Acts over Fuzzy Semigroups and Sheaves
M.
Haddadi
Department of Mathematics, Statistics and Computer Sciences, Semnan
University, Semnan, Iran
author
text
article
2014
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
61
73
http://ijfs.usb.ac.ir/article_1624_7915f082437e766d5e60d3f04c95a162.pdf
dx.doi.org/10.22111/ijfs.2014.1624
A note on convergence in fuzzy metric spaces
Valentn
Gregori
Instituto Universitario de Matematica Pura y Aplicada, Universitat
Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
author
Juan-Jose
Minana
Instituto Universitario de Matematica Pura y Aplicada, Universitat
Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
author
Samuel
Morillas
Instituto Universitario de Matematica Pura y Aplicada, Universitat
Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
author
text
article
2014
eng
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.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
75
85
http://ijfs.usb.ac.ir/article_1625_4434683a72324a1c1ff35fc7fe0b6565.pdf
dx.doi.org/10.22111/ijfs.2014.1625
H\"{o}lder summability method of fuzzy numbers and a Tauberian theorem
Ibrahim
Canak
Department of Mathematics, Ege University, 35100, Izmir, Turkey
author
text
article
2014
eng
In this paper we establish a Tauberian condition under which convergence follows from H\"{o}lder summability of sequences of fuzzy numbers.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
87
93
http://ijfs.usb.ac.ir/article_1626_6d6b326e6429a049c79be13e505260bb.pdf
dx.doi.org/10.22111/ijfs.2014.1626
Persian-translation vol. 11, no. 4, August 2014
text
article
2014
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
11
v.
4
no.
2014
97
103
http://ijfs.usb.ac.ir/article_2686_9fb11a1425907d3407c92ae6a853c5b2.pdf
dx.doi.org/10.22111/ijfs.2014.2686