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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.

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FUZZY INTUITIONISTIC ALMOST (r, s)-CONTINUOUS MAPPINGS

TL;DR: The concepts of fuzzy -regular open sets and fuzzy almost-continuous mappings on the intuitionistic fuzzy topological spaces in sense are introduced and the equivalent conditions of the fuzzy almost -continuity are investigated.
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On smooth fuzzy subspaces

TL;DR: A new concept of smooth topological subspaces is introduced, which coincides with the usual definition in the case where μ = χ Y, Y ⊂ X, and some concepts such as q -nbd systems, continuity, separation axioms, compactness, and connectedness are introduced.
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The a -levels of a fuzzy uniform structure and of a fuzzy proximity

TL;DR: The α-level uniform structure Uα and the α- level proximity Nα U and N, respectively are introduced and it is shown that the topologies Tuα and TNα associated with U α and Nα coincides with theα-level topologies of the fuzzy topologies τU and τN associated to U andN,respectively.
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t-closure and d-closure operators on fuzzy bitopological spaces

TL;DR: Characterizations of fuzzy pairwise regularity and some of its weaker forms in terms of θ-closures and δ-Closures are given.
References
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L-fuzzy sets

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].