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
Citations
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Short communication: Characterization of fuzzy topologies by S-neighbourhood systems
M. H. Ghanim,A. S. Mashhour +1 more
TL;DR: The notion of s-neighbourhoods of a fuzzy point by which to characterize a fuzzy topology is introduced, which answers Warren's open question.
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Function spaces in fuzzy topology
TL;DR: In this paper, the existence of splitting and conjoining structures for functional spaces in fuzzy topological spaces and continuous maps is studied via the theory of monotopological categories, which makes extensive use of the notion of fuzzy continuous maps.
Journal ArticleDOI
Continuity of fuzzy multifunctions
TL;DR: The upper and lower inverse of a fuzzy multifunction is defined and basic identities are proved and the concept of hemicontinuity is introduced and many interesting properties of lower and upper fuzzy multifunctions are obtained.
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On Intuitionistic Fuzzy Weakly Generalized Closed Set and its Applications
TL;DR: For the sake of simplicity, the notation A = x, μA, νA instead of A = { x,μA, μB), (νA,νB) is to be used instead of B if and only if A B and B A are present.
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On convergence theory in fuzzy topological spaces and its applications
TL;DR: It is shown that there is a relation between the convergence of fuzzy filters and the converge of fuzzy nets similar to the one which exists between the convergence of filters andThe convergence of nets in topological spaces.
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].