Some stronger forms of fuzzy continuous mapping on fuzzy topological spaces
TL;DR: The introduction and study of the concepts of certain classes of functions between fuzzy topological spaces, characterized and investigated mainly in the light of the notions of q-neighbourhoods, quasi-coincidence, fuzzy δ-closure and ds-NEighbourhips.
About: This article is published in Fuzzy Sets and Systems.The article was published on 1990-12-01. It has received 30 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.
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01 Jan 2006
TL;DR: As applications of these concepts, certain functions are characterized in terms of intuitionistic fuzzy 𝕂-closure operator.
Abstract: The concepts of fuzzy -open (-closed)sets and fuzzy -closure operator
are introduced and discussed in intuitionistic fuzzy topological spaces.
As applications of these concepts, certain functions are characterized in
terms of intuitionistic fuzzy -closure operator.
7 citations
01 Jan 1995
TL;DR: This contribution will outline the stimulating role of fuzzy set theory in the expansion of mathematics and illustrate three stages by many examples: straightforward fuzzification, standardization, axiomatization and L-fuzzification.
Abstract: Since the publication in 1965 of the seminal paper “Fuzzy Sets” by L.A. Zadeh, mathematicians started to fuzzify the classical mathematical structures. Three stages can be considered: firstly the straightforward fuzzification during the seventies, secondly the explosion of the possible choices in the generalization process during the eighties and currently the standardization, axiomatization and L-fuzzification. In this contribution we will illustrate these three stages by many examples and we will outline the stimulating role of fuzzy set theory in the expansion of mathematics. Most of the illustrative examples in the different stages in the development of the mathematics of fuzziness are taken from the results of our research group during the past twenty years.
4 citations
TL;DR: An investigation of almost compactness for fuzzy topological spaces including certain new characterizations is attempted in terms of fuzzy Θ c -sets,α-open sets, α-closure operator, Θ- open sets and C Θ -accumulation points.
4 citations
TL;DR: The aim of this paper is to make use of operations on IX of a fuzzy topological space X to unify and generalize classes of strong forms of fuzzy complete continuity and to add more types of strong form of fuzzy completely continuous functions by choosing special operations.
4 citations
TL;DR: Two new classes of functions are introduced, called fuzzy completely irresolute and fuzzy weakly completely ir Resolute functions, and their characterizations, examples, compositions, and preservations of some fuzzy spaces under these functions are studied.
4 citations
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TL;DR: In this paper, a theory of neighborhood structures and theorems in the theory of Moore-Smith's convergence are generalized to fuzzy topological spaces, including product spaces and quotient spaces.
189 citations