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Fuzzy topology redefined
Fuzzy topology redefined,10.1016/01650114(92)90093J,Fuzzy Sets and Systems,R Hazra
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Fuzzy topology redefined
(
Citations: 11
)
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R Hazra
Journal:
Fuzzy Sets and Systems  FSS
, vol. 45, no. 1, pp. 7982, 1992
DOI:
10.1016/01650114(92)90093J
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The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
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linkinghub.elsevier.com
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Citation Context
(5)
...The cut set is very useful and important in the research of fuzzy set theory, which is applied in fuzzy topology [
23
], fuzzy algebras [4 5], fuzzy measure and analysis [610], fuzzy optimization and decision [111 2], fuzzy reasoning [13 14], fuzzy logic [1 5]and related domains...
Shunxiang Wu
,
et al.
Three theorems of interval fuzzy set
...In 1992 [
8
], Chattopadyay et. al. introduced the concept of fuzzy topology redeflned by a gradation of openness and investigated some fundamental properties...
...will denote the set of all fuzzy sets of X. 0X and 1X will denote the characteristic functions of ` and X, respectively. Definition 2.1 ([3,
8
, 10])...
KyungHo Min
,
et al.
SOME RESULTS ON AN INTUITIONISTIC FUZZY TOPOLOGICAL SPACE
...In [6], Mondal and Samanta introduced and investigated the concept of intuitionistic gradation of openness which is a generalization of the concept of gradation of openness defined by Chattopadyay [3,
5
]...
...will denote the set of all fuzzy sets of X. 0X and 1X will denote the characteristic functions of and X, respectively. Definition 2.1 ([3,
5
, 7])...
Won Keun Min
,
et al.
HALFGPMAPS ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACES
...In [
3
], R. N. Hazra et.al introduced a new fuzzy topology and fuzzy topological space in terms of lattices L and L0, both of which were taken to be I = [0;1]...
...An Hfuzzy topological space [
3
] is a pair (X;¿), where X is a nonempty set and ¿ : IX ! I is a mapping satisfying...
...tion closedness [
3
] ifi the following three conditions are satisfled: (C1) ¿⁄(0X) = ¿⁄(1X) = 1. (C2) If ¿⁄(A);¿⁄(B) > 0, then ¿⁄(A [ B) > 0 , for A;B 2 IX. (C3) For every subfamily fAi : i 2 Jg ‰ IX, if ¿⁄(Ai) > 0, then ¿⁄(\i2JAi) > 0...
...Conversely, if ¿⁄ is an Hfuzzy cotopology on X, then a mapping ¿ : IX ! I, deflned by ¿(A) = ¿⁄(Ac), is an Hfuzzy topology on X [
3
]...
...A¡ = \fK 2 IX : ¿⁄(K) > 0;A ‰ Kg; where ¿⁄(K) = ¿(Kc) [
3
]...
...Then the mapping f is called a gradation preserving (gp) map if ¿(f¡1(A)) ‚ æ(A) for each A 2 IY . And the mapping f is called a weakly gradation preserving (wgp) if æ(U) > 0 ) ¿(f¡1(U)) > 0 for each U 2 IY [
3
]...
Won Keun Min
,
et al.
HFUZZY SUPRATOPOLOGICAL SPACES
...1. Introduction and preliminaries In [8,
9
,10], S.K...
Yong Chan Kim
.
MAPPINGS ON FUZZY PROXIMITY AND FUZZY UNIFORM SPACES
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Citations
(11)
Three theorems of interval fuzzy set
Shunxiang Wu
,
Changhong Fu
Conference:
IEEE International Conference on Grey Systems and Intelligent Services  GSIS
, 2011
SOME RESULTS ON AN INTUITIONISTIC FUZZY TOPOLOGICAL SPACE
KyungHo Min
,
Won Keun Min
,
ChunKee Park
Published in 2006.
K. Fan's theorem in fuzzifying topology
(
Citations: 4
)
Jinming Fang
,
Yueli Yue
Journal:
Information Sciences  ISCI
, vol. 162, no. 34, pp. 139146, 2004
HALFGPMAPS ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACES
Won Keun Min
,
ChunKee Park
,
KyungHo Min
Published in 2004.
Fuzzy Sirresolute mappings
S. E. Abbas
Journal:
Applied Mathematics and Computation  AMC
, vol. 155, no. 2, pp. 329343, 2004