Fuzzy topological spaces
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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.read more
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Book ChapterDOI
Some fuzzy topologies induced by rough fuzzy sets
TL;DR: This paper shows that a reflexive crisp rough approximation space can induce a fuzzy Alexandrov space, and proves that the lower and upper rough fuzzy approximation operators are, respectively, the fuzzy interior operator and fuzzy closure operator if and only if the binary relation in the crisp approximation space is reflexive and transitive.
Journal ArticleDOI
Some results on intuitionistic fuzzy topological spaces defined by intuitionistic gradation of openness
Won Keun Min,Chun-Kee Park +1 more
TL;DR: The concepts of closure and interior deflned by an intuitionistic gradation of openness are introduced and the concepts of weakly gp-maps, gp-open maps and sev- eral types of compactness are introduced.
Journal ArticleDOI
Results on Fuzzy Weakly (r, s)-Continuous Mappings on the Intuitionistic Fuzzy Topological Spaces in Šostak's Sense
TL;DR: In this paper, some characterizations for fuzzy weakly (r, s)-continuous mapping on an intuitionistic fuzzy topological space in ?
FUZZY β −IRRESOLUTE FUNCTIONS AND FUZZY β −COMPACT SPACES IN FUZZIFYING TOPOLOGY
O. R. Sayed,M. Azab Abd-Allah +1 more
TL;DR: The concepts of fuzzifying β − irresolute functions and fuzzify β − compact spaces are characterized in terms of fuzzification β − open sets and some of their properties are discussed.
Journal ArticleDOI
Measures of fuzzy semicompactness in l-fuzzy topological spaces
TL;DR: Characterizations of fuzzy semicompactness degrees in L-fuzzy topologi- cal spaces are obtained, and some properties of fuzzy SOC degrees are researched.
References
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Journal ArticleDOI
L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].