2018-10-20T05:28:55Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=32
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
Cover Special Issue vol. 9, no. 4, October 2012--
2012
10
01
0
http://ijfs.usb.ac.ir/article_2810_95ecbd1c9f5abcf931d13082bb1c90b7.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
CONVERGENCE APPROACH SPACES AND APPROACH
SPACES AS LATTICE-VALUED CONVERGENCE SPACES
Gunther
Jager
We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces. It is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued pretopological spaces and that the category of approach spaces is a coreective subcategory of a category of lattice-valued topological convergence spaces
L-fuzzy convergence
L-topology
L-filter
L-limit space
Approach
space
Convergence approach space
Pre-approach space
2012
10
01
1
16
http://ijfs.usb.ac.ir/article_129_bd3ed7750b453af4c9a20fe2aa85c8eb.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
EFFICIENCY IN FUZZY PRODUCTION POSSIBILITY SET
T.
Allahviranloo
F.
Hosseinzadeh Lotfi
M.
AdabitabarFirozja
The existing Data Envelopment Analysis models for evaluating the relative eciency of a set of decision making units by using various inputs to produce various outputs are limited to crisp data in crisp production possibility set. In this paper, rst of all the production possibility set is extended to the fuzzy production possibility set by extension principle in constant return to scale, and then the fuzzy model of Charnes, Cooper and Rhodes in input oriented is proposed so that it satis es the initial concepts with crisp data. Finally, the fuzzy model of Charnes, Cooper and Rhodes for evaluating decision making units is illustrated by solving two numerical examples.
Data Envelopment Analysis
Extension principle
Fuzzy number
2012
10
01
17
30
http://ijfs.usb.ac.ir/article_130_291d4bcb1fedf08c29c53872ef51b618.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
CLASSIFYING FUZZY SUBGROUPS OF FINITE NONABELIAN
GROUPS
Marius
Tarnauceanu
In this paper a rst step in classifying the fuzzy subgroups of a nite nonabelian group is made. We develop a general method to count the number of distinct fuzzy subgroups of such groups. Explicit formulas are obtained in the particular case of dihedral groups.
Fuzzy subgroups
Chains of subgroups
Maximal chains of subgroups
Dihedral groups
Recurrence relations
2012
10
01
31
41
http://ijfs.usb.ac.ir/article_131_a85ac48a21fd8e1c3315ef08068da1fe.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
SOME FIXED POINT THEOREMS IN LOCALLY CONVEX
TOPOLOGY GENERATED BY FUZZY N-NORMED SPACES
S. K.
Elagan
M. R.
Segi Rahmat
The main purpose of this paper is to study the existence of afixed point in locally convex topology generated by fuzzy n-normed spaces.We prove our main results, a fixed point theorem for a self mapping and acommon xed point theorem for a pair of weakly compatible mappings inlocally convex topology generated by fuzzy n-normed spaces. Also we givesome remarks in locally convex topology generated by fuzzy n-normed spaces.
Fuzzy n-normed spaces
n-seminorm
Fixed points
2012
10
01
43
54
http://ijfs.usb.ac.ir/article_132_837208a7dd5fddbb57bd0b81a873f2a3.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
Fuzzy $h$-ideal of Matrix Hemiring $S_{2}=left(
begin{array}{cc}
R & Gamma
S & L
end{array}
right)$
S. K.
Sardar
D.
Mandal
B.
Davvaz
The purpose of this paper is to study matrix hemiring $S_{2}$ via fuzzy subsets and fuzzy $h$-ideals.
$Gamma$-hemiring
Fuzzy $h$-ideal
$h$-hemiregular
Matrix hemiring
Operator hemirings
2012
10
01
55
70
http://ijfs.usb.ac.ir/article_133_ab7b86c21df96936081a587cc5bade03.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
ATANASSOV'S INTUITIONISTIC FUZZY GRADE OF I.P.S.
HYPERGROUPS OF ORDER LESS THAN OR EQUAL TO 6
B.
Davvaz
E.
Hassani Sadrabadi
I.
Cristea
In this paper we determine the sequences of join spaces and Atanassov's intuitionistic fuzzy sets associated with all i.p.s. hypergroups of order less than or equal to 6, focusing on the calculation of their lengths.
Fuzzy set
Atanassov's intuitionistic fuzzy set
i.p.s. hypergroup
Fuzzy grade
Join space
2012
10
01
71
97
http://ijfs.usb.ac.ir/article_134_d4fa23b3ec49455af1d2d822746a7833.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups
Yunqiang
Yin
Young Bae
Jun
Zhihui
Yang
This paper consider the general forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. Special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related properties are investigated. Thecharacterization of regular ordered semigroups in terms of$(in_{gamma},ivq)$-fuzzy left (right) ideals,$(in_{gamma},ivq)$-fuzzy bi-ideals and$(in_{gamma},ivq)$-fuzzy interior ideals is also investigated.
Ordered
semigroups
$(alpha
beta)$-fuzzy left (right) ideals
$(in_{gamma}
ivq)$-fuzzy bi-ideals
ivq)$-fuzzy
interior ideals
2012
10
01
99
113
http://ijfs.usb.ac.ir/article_135_cbe7d4b32ae35a4d34772c5395e4b648.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
L-FUZZIFYING TOPOLOGICAL GROUPS
Shai-yan
Zhang
Cong-hua
Yan
The main purpose of this paper is to introduce a concept of$L$-fuzzifying topological groups (here $L$ is a completelydistributive lattice) and discuss some of their basic properties andthe structures. We prove that its corresponding $L$-fuzzifyingneighborhood structure is translation invariant. A characterizationof such topological groups in terms of the corresponding$L$-fuzzifying neighborhood structure of the unit is given. It isshown that the category of $L$-fuzzifying topological groups$L$-{bf FYTPG} is topological over the category of groups {bf GRP}with respect to the forgetful functor. As an application, theconclusion that the product of $L$-fuzzifying topological groups isalso an $L$-fuzzifying topological group is proved. Finally, it isproved the forgetful functor preserves the product.
L-fuzzifying topological groups
L-fuzzifying topology
L-fuzzifying
neighborhood structure
Category
2012
10
01
115
132
http://ijfs.usb.ac.ir/article_136_5aec0b42a085eb0d15775832efc7139a.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
FUZZY INTEGRAL OF MEASURABLE MULTIFUNCTIONS
Anca
Croitoru
We study a fuzzy type integral for measurable multifunctions with respect to a fuzzy measure. Some classical properties and convergence theorems are presented.
Fuzzy integral
Fuzzy measure
Measurable multifunction
2012
10
01
133
140
http://ijfs.usb.ac.ir/article_137_bae43e24655cf7f43dd488e58f3d5596.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
ON THE FUZZY DIMENSIONS OF FUZZY VECTOR SPACES
Chun-E
Huang
Fu-Gui
Shi
In this paper, rstly, it is proved that, for a fuzzy vector space, the set of its fuzzy bases de ned by Shi and Huang, is equivalent to the family of its bases de ned by P. Lubczonok. Secondly, for two fuzzy vector spaces, it is proved that they are isomorphic if and only if they have the same fuzzy dimension, and if their fuzzy dimensions are equal, then their dimensions are the same, however, the converse is not true. Finally, fuzzy dimension of direct sum is considered, for a nite number of fuzzy vector spaces and it is proved that fuzzy dimension of their direct sum is equal to the sum of fuzzy dimensions of fuzzy vector spaces.
Fuzzy vector space
Fuzzy basis
Fuzzy dimension
Direct sum
2012
10
01
141
150
http://ijfs.usb.ac.ir/article_138_f039ecb754d89261c9c1e68ef58032fc.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
ON COMPACTNESS AND G-COMPLETENESS IN FUZZY
METRIC SPACES
Pedro
Tirado
In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case, for which we present an example of a compact fuzzy metric space that is not complete in Grabiecs sense. On the other hand, Grabiec used a notion of compactness to obtain a fuzzy version of Edelstein s contraction principle. We present here a generalized version of Grabiecs version of the Edelstein xed point theorem and dierent interesting facts on the topology of fuzzy metric spaces.
Fuzzy metric space
Cauchy sequence
G-completeness
Compactness
Fixed point theorem
2012
10
01
151
158
http://ijfs.usb.ac.ir/article_139_bcc0473d0d21e8f848502062a387e278.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
4
Persian-translation vol. 9, no. 4, October 2012
2012
10
01
161
171
http://ijfs.usb.ac.ir/article_2811_1713f6a89b3a4f736a6bda87ff922381.pdf