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Fuzzy topology redefined

Fuzzy topology redefined,10.1016/0165-0114(92)90093-J,Fuzzy Sets and Systems,R Hazra

Fuzzy topology redefined   (Citations: 11)
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Journal: Fuzzy Sets and Systems - FSS , vol. 45, no. 1, pp. 79-82, 1992
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    • ...The cut set is very useful and important in the research of fuzzy set theory, which is applied in fuzzy topology [2-3], fuzzy algebras [4- 5], fuzzy measure and analysis [6-10], fuzzy optimization and decision [11-1 2], fuzzy reasoning [13- 14], fuzzy logic [1 5]and related domains...

    Shun-xiang Wuet 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])...

    Kyung-Ho Minet 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 Minet al. HALF-GP-MAPS 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 H-fuzzy topological space [3] is a pair (X;¿), where X is a non-empty 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 H-fuzzy cotopology on X, then a mapping ¿ : IX ! I, deflned by ¿(A) = ¿⁄(Ac), is an H-fuzzy 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 Minet al. H-FUZZY 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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