eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
0
10.22111/ijfs.2012.2810
2810
Cover Special Issue vol. 9, no. 4, October 2012--
http://ijfs.usb.ac.ir/article_2810_95ecbd1c9f5abcf931d13082bb1c90b7.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
1
16
10.22111/ijfs.2012.129
129
مقاله پژوهشی
CONVERGENCE APPROACH SPACES AND APPROACH
SPACES AS LATTICE-VALUED CONVERGENCE SPACES
Gunther Jager
g.jager@ru.ac.za
1
Department of Statistics, Rhodes University, 6140 Grahamstown,
South Africa
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
http://ijfs.usb.ac.ir/article_129_bd3ed7750b453af4c9a20fe2aa85c8eb.pdf
L-fuzzy convergence
L-topology
L-filter
L-limit space
Approach
space
Convergence approach space
Pre-approach space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
17
30
10.22111/ijfs.2012.130
130
مقاله پژوهشی
EFFICIENCY IN FUZZY PRODUCTION POSSIBILITY SET
T. Allahviranloo
tofigh@allahviranloo.com
1
F. Hosseinzadeh Lotfi
hosseinzadeh lotfi@yahoo.com
2
M. AdabitabarFirozja
mohamadsadega@yahoo.com
3
Department of Mathematics, Science and Research Branch, Is-
lamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
Department of Mathematics, Qaemshar Branch, Islamic Azad
University, Qaemshahr, Iran
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.
http://ijfs.usb.ac.ir/article_130_291d4bcb1fedf08c29c53872ef51b618.pdf
Data Envelopment Analysis
Extension principle
Fuzzy number
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
31
41
10.22111/ijfs.2012.131
131
مقاله پژوهشی
CLASSIFYING FUZZY SUBGROUPS OF FINITE NONABELIAN
GROUPS
Marius Tarnauceanu
tarnauc@uaic.ro
1
Faculty of Mathematics, Al.I. Cuza" University, Iasi, Romania
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.
http://ijfs.usb.ac.ir/article_131_a85ac48a21fd8e1c3315ef08068da1fe.pdf
Fuzzy subgroups
Chains of subgroups
Maximal chains of subgroups
Dihedral groups
Recurrence relations
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
43
54
10.22111/ijfs.2012.132
132
مقاله پژوهشی
SOME FIXED POINT THEOREMS IN LOCALLY CONVEX
TOPOLOGY GENERATED BY FUZZY N-NORMED SPACES
S. K. Elagan
sayed khalil2000@yahoo.com
1
M. R. Segi Rahmat
Mohd.Rafi@nottingham.edu.my
2
Mathematics and statistics Department, Faculty of Science, Taif Uni-
versity (P.O.888), Zip Code 21974, Kingdom of Saudi Arabia (KSA) and Department of
Mathematics, Faculty of Science, Menofiya University, Shebin Elkom, Egypt
School of Applied Mathematics, University of Nottingham Malaysia
Campus, Jalan Broga, 43500, Semenyih, Selangor D.E, Malaysia
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.
http://ijfs.usb.ac.ir/article_132_837208a7dd5fddbb57bd0b81a873f2a3.pdf
Fuzzy n-normed spaces
n-seminorm
Fixed points
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
55
70
10.22111/ijfs.2012.133
133
مقاله پژوهشی
Fuzzy $h$-ideal of Matrix Hemiring $S_{2}=left(
begin{array}{cc}
R & Gamma
S & L
end{array}
right)$
S. K. Sardar
sksardarjumath@gmail.com
1
D. Mandal
dmandaljumath@gmail.com
2
B. Davvaz
davvaz@yazduni.ac.ir
3
Department of Mathematics, Jadavpur University, Kolkata, India
Department of Mathematics, Jadavpur University, Kolkata, India
Department of Mathematics, Yazd University, Yazd, Iran
The purpose of this paper is to study matrix hemiring $S_{2}$ via fuzzy subsets and fuzzy $h$-ideals.
http://ijfs.usb.ac.ir/article_133_ab7b86c21df96936081a587cc5bade03.pdf
$Gamma$-hemiring
Fuzzy $h$-ideal
$h$-hemiregular
Matrix hemiring
Operator hemirings
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
71
97
10.22111/ijfs.2012.134
134
مقاله پژوهشی
ATANASSOV'S INTUITIONISTIC FUZZY GRADE OF I.P.S.
HYPERGROUPS OF ORDER LESS THAN OR EQUAL TO 6
B. Davvaz
davvaz@yazduni.ac.ir
1
E. Hassani Sadrabadi
hassanipma@yahoo.com
2
I. Cristea
irinacri@yahoo.co.uk
3
Department of Mathematics, Yazd University, Yazd, Iran
Department of Mathematics, Yazd University, Yazd, Iran
University of Udine, Via delle Scienze 206, 33100 Udine, Italy
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.
http://ijfs.usb.ac.ir/article_134_d4fa23b3ec49455af1d2d822746a7833.pdf
Fuzzy set
Atanassov's intuitionistic fuzzy set
i.p.s. hypergroup
Fuzzy grade
Join space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
99
113
10.22111/ijfs.2012.135
135
مقاله پژوهشی
More General Forms of $(alpha, beta )$-fuzzy Ideals of Ordered Semigroups
Yunqiang Yin
yunqiangyin@gmail.com
1
Young Bae Jun
skywine@gmail.com
2
Zhihui Yang
zhhyang75@gmail.com
3
State Key Laboratory, Breeding Base of Nuclear Resources and
Environment, East China Institute of Technology, Nanchang, 330013, China
Department of Mathematics Education (and RINS), Gyeongsang Na-
tional University, Chinju 660-701, Korea
School of Mathematics and Information Sciences, East China Institute
of Technology, Fuzhou, Jiangxi 344000, China
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.
http://ijfs.usb.ac.ir/article_135_cbe7d4b32ae35a4d34772c5395e4b648.pdf
Ordered
semigroups
$(alpha
beta)$-fuzzy left (right) ideals
$(in_{gamma}
ivq)$-fuzzy bi-ideals
ivq)$-fuzzy
interior ideals
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
115
132
10.22111/ijfs.2012.136
136
مقاله پژوهشی
L-FUZZIFYING TOPOLOGICAL GROUPS
Shai-yan Zhang
syzhang79@126.com
1
Cong-hua Yan
chyan@njnu.edu.cn
2
School of Science, Southern Yangtze University, Wuxi, Jiangsu
214122, People0 s Republic of China
school of Math. Sciences, Nanjing Normal Uni-
versity, Nanjing Jiangsu 210046, People0 s Republic of China
The main purpose of this paper is to introduce a concept of$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.
http://ijfs.usb.ac.ir/article_136_5aec0b42a085eb0d15775832efc7139a.pdf
L-fuzzifying topological groups
L-fuzzifying topology
L-fuzzifying
neighborhood structure
Category
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
133
140
10.22111/ijfs.2012.137
137
مقاله پژوهشی
FUZZY INTEGRAL OF MEASURABLE MULTIFUNCTIONS
Anca Croitoru
croitoru@uaic.ro
1
"Al.I. Cuza" University, Faculty of Mathematics, Bd. Carol I, No.
11, Iasi, 700506, Romania
We study a fuzzy type integral for measurable multifunctions with respect to a fuzzy measure. Some classical properties and convergence theorems are presented.
http://ijfs.usb.ac.ir/article_137_bae43e24655cf7f43dd488e58f3d5596.pdf
Fuzzy integral
Fuzzy measure
Measurable multifunction
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
141
150
10.22111/ijfs.2012.138
138
مقاله پژوهشی
ON THE FUZZY DIMENSIONS OF FUZZY VECTOR SPACES
Chun-E Huang
hce 137@163.com, hchune@yahoo.com
1
Fu-Gui Shi
fuguishi@bit.edu.cn, f.g.shi@263.net
2
Biochemical engineering college, Beijing Union University, Beijing
100023, P. R. China
Department of Mathematics, School of Science, Beijing Institute of
Technology, Beijing 100081, P. R. China
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.
http://ijfs.usb.ac.ir/article_138_f039ecb754d89261c9c1e68ef58032fc.pdf
Fuzzy vector space
Fuzzy basis
Fuzzy dimension
Direct sum
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
151
158
10.22111/ijfs.2012.139
139
مقاله پژوهشی
ON COMPACTNESS AND G-COMPLETENESS IN FUZZY
METRIC SPACES
Pedro Tirado
pedtipe@mat.upv.es
1
Instituto Universitario de Matematica Pura y Aplicada, Universidad
Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
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.
http://ijfs.usb.ac.ir/article_139_bcc0473d0d21e8f848502062a387e278.pdf
Fuzzy metric space
Cauchy sequence
G-completeness
Compactness
Fixed point theorem
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-10-01
9
4
161
171
10.22111/ijfs.2012.2811
2811
Persian-translation vol. 9, no. 4, October 2012
http://ijfs.usb.ac.ir/article_2811_1713f6a89b3a4f736a6bda87ff922381.pdf