eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-01
9
5
0
10.22111/ijfs.2012.2808
2808
Cover Special Issue vol. 9, no. 5, December 2012 --
http://ijfs.usb.ac.ir/article_2808_826d21ec51e18d3df0a93b006f7e67a8.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2014-02-20
9
5
1
6
10.22111/ijfs.2014.85
85
مقاله پژوهشی
EXTENSION OF FUZZY CONTRACTION MAPPINGS
H VOSOUGHI
vosughi@iiau.ac.ir
1
S. J Hosseini Ghoncheh
2
Department of Mathematics, Faculty of Science, Islamshahr Branch,
Islamic Azad University, Islamshahr, Tehran, Iran
Department of mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
In a fuzzy metric space (X;M; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.
http://ijfs.usb.ac.ir/article_85_de05589897c8a0532907b3e4386dff22.pdf
Fuzzy metric space
Fuzzy contraction
Fuzzy contractivity
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-26
9
5
7
19
10.22111/ijfs.2012.101
101
مقاله پژوهشی
(T,S)-BASED INTERVAL-VALUED INTUITIONISTIC FUZZY
COMPOSITION MATRIX AND ITS APPLICATION FOR
CLUSTERING
H. L HUANG
hl huang1980.student@sina.com
1
Department of Mathematics and Information Science, Zhangzhou
Normal University, Zhangzhou 363000, China
In this paper, the notions of $(T,S)$-composition matrix and$(T,S)$-interval-valued intuitionistic fuzzy equivalence matrix areintroduced where $(T,S)$ is a dual pair of triangular module. Theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. Furthermore, theirproperties and characterizations are presented. Then a new methodbased on $tilde{alpha}-$matrix for clustering is developed.Finally, an example is given to demonstrate our method.
http://ijfs.usb.ac.ir/article_101_ed10b9c13fc14775b97c1a61deea60cc.pdf
Clustering
Interval-valued intuitionistic fuzzy set
Interval-valued
intuitionistic fuzzy number
Interval-valued intuitionistic fuzzy matrix
Triangular dual module
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
21
40
10.22111/ijfs.2012.102
102
مقاله پژوهشی
A FIXED POINT APPROACH TO THE INTUITIONISTIC
FUZZY STABILITY OF QUINTIC AND SEXTIC
FUNCTIONAL EQUATIONS
Tian Zhou Xu
xutianzhou@bit.edu.cn
1
Matina John Rassias
matina@stats.ucl.ac.uk
2
Wan Xin Xu
wxbit0930@gmail.com
3
School of Mathematics, Beijing Institute of Technology, Beijing
100081, People's Republic of China
Department of Statistical, University College London, Science
1-19 Torrington Place, London WC1E 7HB, United Kingdom
Department of Electrical and Computer Engineering, College of En-
gineering, University of Kentucky, Lexington 40506, Usa and School of Communica-
tion and Information Engineering, University of Electronic Science and Technology
of China
The fixed point alternative methods are implemented to giveHyers-Ulam stability for the quintic functional equation $ f(x+3y)- 5f(x+2y) + 10 f(x+y)- 10f(x)+ 5f(x-y) - f(x-2y) = 120f(y)$ and thesextic functional equation $f(x+3y) - 6f(x+2y) + 15 f(x+y)- 20f(x)+15f(x-y) - 6f(x-2y)+f(x-3y) = 720f(y)$ in the setting ofintuitionistic fuzzy normed spaces (IFN-spaces). This methodintroduces a metrical context and shows that the stability isrelated to some fixed point of a suitable operator. Furthermore, theinterdisciplinary relation among the fuzzy set theory, the theoryof intuitionistic spaces and the theory of functional equations arealso presented in the paper.
http://ijfs.usb.ac.ir/article_102_8ee321bf3524ad5d9b61a7ebca651dc9.pdf
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
41
62
10.22111/ijfs.2012.103
103
مقاله پژوهشی
ON (L;M)-FUZZY CLOSURE SPACES
Halis Aygun
halis@kocaeli.edu.tr
1
Vildan Cetkin
vildan.cetkin@kocaeli.edu.tr
2
S. E. Abbas
sabbas73@yahoo.com
3
Department of Mathematics, Kocaeli University, 41380, Kocaeli, Turkey.
Department of Mathematics, Kocaeli University, 41380, Kocaeli,
Turkey.
Department of Mathematics, Faculty of Science, Sohag 82524, Egypt.
The aim of this paper is to introduce $(L,M)$-fuzzy closurestructure where $L$ and $M$ are strictly two-sided, commutativequantales. Firstly, we define $(L,M)$-fuzzy closure spaces and getsome relations between $(L,M)$-double fuzzy topological spaces and$(L,M)$-fuzzy closure spaces. Then, we introduce initial$(L,M)$-fuzzy closure structures and we prove that the category$(L,M)$-{bf FC} of $(L,M)$-fuzzy closure spaces and$(L,M)$-$mathcal{C}$-maps is a topological category over thecategory {bf SET}. From this fact, we define products of$(L,M)$-fuzzy closure spaces. Finally, we show that an initialstructure of $(L,M)$-double fuzzy topological spaces can be obtainedby the initial structure of $(L,M)$-fuzzy closure spaces induced bythem.
http://ijfs.usb.ac.ir/article_103_536f9823347996d1b8deb9dee5ec4124.pdf
Double fuzzy topological space
Fuzzy closure space
Initial fuzzy
closure space
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
63
76
10.22111/ijfs.2012.104
104
مقاله پژوهشی
A NOTE ON INTUITIONISTIC FUZZY MAPPINGS
Yong-hong Shen
shenyonghong2008@hotmail.com
1
Fa-xing Wang
fxwangcaptain@126.com
2
Wei Chen
chenwei@cueb.edu.cn
3
School of Mathematics and Statistics, Tianshui Normal Univer-
sity, Tianshui 741001, People's Republic of China
Tongda College, Nanjing University of Posts and Telecommunica-
tions, Nanjing, 210046, People's Republic of China
School of Information, Capital University of Economics and Business,
Beijing, 100070, People's Republic of China
In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. Moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. Afterwards, the Atanassov'soperator is applied to intuitionistic fuzzy mappings and thecorresponding properties are examined. Finally, the decompositionand representation theorems of intuitionistic fuzzy mappings areestablished.
http://ijfs.usb.ac.ir/article_104_b8eee8be1022c4052be689163c79088f.pdf
Truncation projection
Intuitionistic fuzzy mapping
Truncation map-
ping
Decomposition theorem
Representation theorem
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
77
92
10.22111/ijfs.2012.105
105
مقاله پژوهشی
COMMON FIXED POINT THEOREMS IN MODIFIED
INTUITIONISTIC FUZZY METRIC SPACES
M. Imdad
mhimdad@yahoo.co.in
1
Javid Ali
javid@math.com
2
M. Hasan
hasan352000@gmail.com
3
Department of Mathematics, Aligarh Muslim University, Aligarh 202002,
India
Departament de Matematica Aplicada III (MA3), Universitat Politecnica
de Catalunya, Colom 1, 08222 Terrassa (Barcelona), Spain
Department of Applied Mathematics, Aligarh Muslim University, Aligarh
202002, India
In this paper, we introduce a new class of implicit functions and also common property (E.A) in modified intuitionistic fuzzy metric spaces and utilize the same to prove some common fixed point theorems in modified intuitionistic fuzzy metric spaces besides discussing related results and illustrative examples. We are not aware of any paper dealing with such implicit functions in modified intuitionistic fuzzy metric spaces.
http://ijfs.usb.ac.ir/article_105_c515b1a8b53ad4410978aa4136bf1270.pdf
Fuzzy metric space
Modied intuitionistic fuzzy metric space
Prop-
erty (E.A)
Common property (E.A)
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
93
104
10.22111/ijfs.2012.106
106
مقاله پژوهشی
ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL
VECTOR SPACES
Jin-Xuan Fang
jxfang@njnu.edu.cn
1
Hui Zhang
zh9907084@sohu.com
2
School of Mathematical Science, Nanjing Normal University, Nan-
jing, Jiangsu 210023, P. R. China
Department of Mathematics, Anhui NormalUniversity, Wuhu, Anhui 241000,
P. R. China
The notion of generalized locally bounded $I$-topological vectorspaces is introduced. Some of their important properties arestudied. The relationship between this kind of spaces and thelocally bounded $I$-topological vector spaces introduced by Wu andFang [Boundedness and locally bounded fuzzy topological vectorspaces, Fuzzy Math. 5 (4) (1985) 87$-$94] is discussed. Moreover, wealso use the family of generalized fuzzy quasi-norms to characterizethe generalized locally bounded $I$-topological vector spaces, andgive some applications of this characterization.
http://ijfs.usb.ac.ir/article_106_be86b18ee0bf485a237b60562493a9cb.pdf
I-topological vector spaces
Generalized locally bounded I-topological
vector spaces
Family of generalized fuzzy quasi-norms
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
105
124
10.22111/ijfs.2012.107
107
مقاله پژوهشی
NEW TYPES OF FUZZY n-ARY SUBHYPERGROUPS OF AN
n-ARY HYPERGROUP
Yunqiang Yin
yinyunqiang@126.com
1
Jianming Zhan
zhanjianming@hotmail.com
2
Bijan Davvaz
davvaz@yazduni.ac.ir
3
College of Mathematics and Information Sciences, East China Insti-
tute of Technology, Fuzhou, Jiangxi 344000, China
Department of Mathematics, Hubei Institute for Nationalities, Enshi,
Hubei Province 445000, China
Department of Mathematics, Yazd University, Yazd, Iran
In this paper, the new notions of ``belongingness ($in_{gamma}$)"and ``quasi-coincidence ($q_delta$)" of a fuzzy point with a fuzzyset are introduced. By means of this new idea, the concept of$(alpha,beta)$-fuzzy $n$-ary subhypergroup of an $n$-aryhypergroup is given, where $alpha,betain{in_{gamma}, q_{delta},in_{gamma}wedge q_{delta}, ivq}$, andit is shown that, in 16 kinds of $(alpha,beta)$-fuzzy $n$-arysubhypergroups, the significant ones are the$(in_{gamma},in_{gamma})$-fuzzy $n$-ary subhypergroups,$(in_{gamma},ivq)$-fuzzy $n$-ary subhypergroups and the$(in_{gamma}wedge q_{delta},in_{gamma})$-fuzzy $n$-arysubhypergroups.
http://ijfs.usb.ac.ir/article_107_46055ab13bf60c1e2bce3c93b56e5935.pdf
n-ary subhypergroup
$(in_{gamma}
in_{gamma})$-fuzzy $n$-ary subhypergroups
ivq)$-fuzzy $n$-ary subhypergroups and the
$(in_{gamma}wedge q_{delta}
in_{gamma})$-fuzzy $n$-ary
subhypergroups
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
125
135
10.22111/ijfs.2012.108
108
مقاله پژوهشی
MIXED VARIATIONAL INCLUSIONS INVOLVING INFINITE
FAMILY OF FUZZY MAPPINGS
R. Ahmad
raisain 123@rediffmail.com
1
M. Dilshad
mdilshaad@gmail.com
2
J. C. YAO
yaojc@kmu.edu.tw
3
Department of Mathematics, Aligarh Muslim University, Aligarh 202002,
India
Department of Mathematics, Aligarh Muslim University, Aligarh 202002,
India
Center for General Education, Kaohsiung Medical University, Kaohsiung
807, Taiwan
In this paper, we introduce and study a mixed variational inclusion problem involving infinite family of fuzzy mappings. An iterative algorithm is constructed for solving a mixed variational inclusion problem involving infinite family of fuzzy mappings and the convergence of iterative sequences generated by the proposed algorithm is proved. Some illustrative examples are also given.
http://ijfs.usb.ac.ir/article_108_94216fc2ba0c05bf29a5f76466376555.pdf
Mixed variational inclusions
Innite family
Fuzzy mappings
Algo-
rithm
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-28
9
5
137
146
10.22111/ijfs.2012.109
109
مقاله پژوهشی
SOME RESULTS ON t-BEST APPROXIMATION IN FUZZY
n-NORMED SPACES
Serkan Gumus
sgumus@kho.edu.tr, serkangumus06@yahoo.com
1
Hakan Efe
hakanefe@gazi.edu.tr, hakanefe1972@yahoo.com.tr
2
Cemil Yildiz
cyildiz@gazi.edu.tr
3
Turkish Military Academy, Cankaya, 06580, Ankara, Turkey
Department of Mathematics, Faculty of Science and Arts, Gazi University,
Teknikokullar, 06500 Ankara, Turkey
Department of Mathematics, Faculty of Science and Arts, Gazi University,
Teknikokullar, 06500 Ankara, Turkey
The aim of this paper is to give the set of all t -best approximations on fuzzy n-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [13].
http://ijfs.usb.ac.ir/article_109_7a1b1b483a2916fff5e951fc17b9cfef.pdf
n-normed spaces
Fuzzy n-norms
Best approximation.
2000 Mathematics Subject Classication. 46A30
46A70
54A40
eng
University of Sistan and Baluchestan
Iranian Journal of Fuzzy Systems
1735-0654
1735-0654
2012-12-01
9
5
149
158
10.22111/ijfs.2012.2809
2809
Persian-translation vol. 9, no. 5, December 2012
http://ijfs.usb.ac.ir/article_2809_fed88bc5fe03e6c7cedb889296a30126.pdf