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Fuzzy topological spaces

C.L Chang
- 01 Oct 1968 - 
- Vol. 24, Iss: 1, pp 182-190
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-10-01 and is currently open access. It has received 1997 citations till now. The article focuses on the topics: Topological tensor product & Topological space.

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On the boundary of fuzzy sets

Eduardo Cuchillo-Ibanez, +1 more
- 01 Jul 1997 - 
TL;DR: A new concept of boundary of a fuzzy set in a fuzzy topological space is introduced that preserves the good properties of the Warren's boundary and allows to characterize the clopen fuzzy sets as those whose boundary is 0 X .
Journal ArticleDOI

Fuzzy Sierpinski space and its generalizations

Etienne Kerre
- 01 Mar 1980 - 
TL;DR: The key object in the construction of fuzzy topological spaces such as the Sierpinski space, the included (excluded) fuzzy singleton topology, and the included and excluded fuzzy set topology is the fuzzysingleton as described by Goguen.
Journal ArticleDOI

Weakly continuous functions on mixed fuzzy topological spaces

Binod Chandra Tripathy, +1 more
- 04 Apr 2014 - 
TL;DR: F fuzzy weak continuity is introduced in mixed fuzzy topological space, namely fuzzy subweakly continuity as a natural generalization of subweak continuity introduced by Rose (1984).
Journal ArticleDOI

On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity

A. A. Nasef, +1 more
- 15 May 2009 - 
TL;DR: The notion of fuzzy pre- I -open sets is introduced and the decomposition of fuzzy I -continuity is given by proving that a function f : ( X, τ, I )→ (Y, σ ) is fuzzy I-continuous if and only if it is fuzzy pre - I -Continuous and fuzzy ∗- I –continuous.
Journal ArticleDOI

Q -convergence of nets and weak separation axioms in fuzzy lattices

Shi-Zhong Bai
- 16 Jun 1997 - 
TL;DR: The concept of Q -remote-neighborhood is introduced and the Q -convergence theory of nets in fuzzy lattices is established, and it is shown that the ST i ( i = −1,0,1,2) separability is preserved under S -homeomorphism.
References
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L-fuzzy sets

Joseph A. Goguen
- 01 Apr 1967 - 
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].