Fuzzy topological spaces
About:
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.read more
Citations
More filters
Journal ArticleDOI
Fuzzy topological structures via fuzzy graphs and their applications
TL;DR: In this paper, the authors introduce a new kind of fuzzy topological structures in terms of fuzzy graphs called fuzzy topology graphs due to a class of fuzzy subsets, and some of their properties are investigated.
Journal ArticleDOI
Degrees of L-Continuity for Mappings between L-Topological Spaces
Zhenyu Xiu,Qinghua Li +1 more
TL;DR: In this article, a degree approach to L-continuity and L-closedness for mappings between L-cotopological spaces is defined and their properties are investigated systematically.
Journal ArticleDOI
The Fuzzification of Classical Structures: A General View
TL;DR: The aim of this survey article, dedicated to the 50th anniversary of Zadeh’s pioneering paper "Fuzzy Sets" (1965), is to offer a unitary view to some important spaces in fuzzy mathematics: fuzzy real line, fuzzy topological spaces, fuzzy metric spaces, fuzzy topological vector spaces, and fuzzy normed linear spaces.
Journal ArticleDOI
Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense
TL;DR: The concepts of fuzzy (r, s)-semiopen sets and fuzzy ( r,s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense are introduced and some of their characteristic properties are investigated.
Journal ArticleDOI
Measures of compactness in L-fuzzy pretopological spaces
Fu-Gui Shi,Chengyu Liang +1 more
TL;DR: The concepts of the degrees of compactness, countable compactness and Lindelof property in L-fuzzy pretopological spaces by means of implication operator are introduced.
References
More filters
Journal ArticleDOI
L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].