2018-02-25T17:04:30Z
http://ijfs.usb.ac.ir/?_action=export&rf=summon&issue=31
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
Cover Special Issue vol. 9, no. 5, December 2012 --
2012
12
01
0
http://ijfs.usb.ac.ir/article_2808_826d21ec51e18d3df0a93b006f7e67a8.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
EXTENSION OF FUZZY CONTRACTION MAPPINGS
H
VOSOUGHI
S. J
Hosseini Ghoncheh
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.
Fuzzy metric space
Fuzzy contraction
Fuzzy contractivity
2014
02
20
1
6
http://ijfs.usb.ac.ir/article_85_de05589897c8a0532907b3e4386dff22.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
(T,S)-BASED INTERVAL-VALUED INTUITIONISTIC FUZZY
COMPOSITION MATRIX AND ITS APPLICATION FOR
CLUSTERING
H. L
HUANG
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.
Clustering
Interval-valued intuitionistic fuzzy set
Interval-valued
intuitionistic fuzzy number
Interval-valued intuitionistic fuzzy matrix
Triangular dual module
2012
12
26
7
19
http://ijfs.usb.ac.ir/article_101_ed10b9c13fc14775b97c1a61deea60cc.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
A FIXED POINT APPROACH TO THE INTUITIONISTIC
FUZZY STABILITY OF QUINTIC AND SEXTIC
FUNCTIONAL EQUATIONS
Tian Zhou
Xu
Matina John
Rassias
Wan
Xin Xu
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.
2012
12
28
21
40
http://ijfs.usb.ac.ir/article_102_8ee321bf3524ad5d9b61a7ebca651dc9.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
ON (L;M)-FUZZY CLOSURE SPACES
Halis
Aygun
Vildan
Cetkin
S. E.
Abbas
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.
Double fuzzy topological space
Fuzzy closure space
Initial fuzzy
closure space
2012
12
28
41
62
http://ijfs.usb.ac.ir/article_103_536f9823347996d1b8deb9dee5ec4124.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
A NOTE ON INTUITIONISTIC FUZZY MAPPINGS
Yong-hong
Shen
Fa-xing
Wang
Wei
Chen
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.
Truncation projection
Intuitionistic fuzzy mapping
Truncation map-
ping
Decomposition theorem
Representation theorem
2012
12
28
63
76
http://ijfs.usb.ac.ir/article_104_b8eee8be1022c4052be689163c79088f.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
COMMON FIXED POINT THEOREMS IN MODIFIED
INTUITIONISTIC FUZZY METRIC SPACES
M.
Imdad
Javid
Ali
M.
Hasan
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.
Fuzzy metric space
Modied intuitionistic fuzzy metric space
Prop-
erty (E.A)
Common property (E.A)
2012
12
28
77
92
http://ijfs.usb.ac.ir/article_105_c515b1a8b53ad4410978aa4136bf1270.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL
VECTOR SPACES
Jin-Xuan
Fang
Hui
Zhang
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.
I-topological vector spaces
Generalized locally bounded I-topological
vector spaces
Family of generalized fuzzy quasi-norms
2012
12
28
93
104
http://ijfs.usb.ac.ir/article_106_be86b18ee0bf485a237b60562493a9cb.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
NEW TYPES OF FUZZY n-ARY SUBHYPERGROUPS OF AN
n-ARY HYPERGROUP
Yunqiang
Yin
Jianming
Zhan
Bijan
Davvaz
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.
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
2012
12
28
105
124
http://ijfs.usb.ac.ir/article_107_46055ab13bf60c1e2bce3c93b56e5935.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
MIXED VARIATIONAL INCLUSIONS INVOLVING INFINITE
FAMILY OF FUZZY MAPPINGS
R.
Ahmad
M.
Dilshad
J. C.
YAO
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.
Mixed variational inclusions
Innite family
Fuzzy mappings
Algo-
rithm
2012
12
28
125
135
http://ijfs.usb.ac.ir/article_108_94216fc2ba0c05bf29a5f76466376555.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
SOME RESULTS ON t-BEST APPROXIMATION IN FUZZY
n-NORMED SPACES
Serkan
Gumus
Hakan
Efe
Cemil
Yildiz
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].
n-normed spaces
Fuzzy n-norms
Best approximation.
2000 Mathematics Subject Classication. 46A30
46A70
54A40
2012
12
28
137
146
http://ijfs.usb.ac.ir/article_109_7a1b1b483a2916fff5e951fc17b9cfef.pdf
Iranian Journal of Fuzzy Systems
IJFS
1735-0654
1735-0654
2012
9
5
Persian-translation vol. 9, no. 5, December 2012
2012
12
01
149
158
http://ijfs.usb.ac.ir/article_2809_fed88bc5fe03e6c7cedb889296a30126.pdf