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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 limit spaces

TL;DR: In fuzzy topological spaces the notion of fuzzy limitierung turns out to be equivalent to that of convergence of prefilters in Lowen and that of fuzzy nets in Pu and Liu.
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Compactness in fuzzy minimal spaces

TL;DR: The concept of fuzzy (countably) compactness in fuzzy minimal spaces is introduced and some related basic results in these new setting are given.
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Semi-induced fuzzy topologies

TL;DR: The behaviour of Warren's fuzzy boundary in semi-induced fuzzy topological spaces (fts's for short) is explained and the two axioms of semi-induction and structure C hold trivially for crisp fuzzy topologies.
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Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures

TL;DR: The main result will be that the subspaces as described below are indeed the categorically correct ones, i.e. in initial structures with respect to the canonical injection.
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Some Results on Fuzzy Soft Topological Spaces

TL;DR: F fuzzy soft continuous mapping, fuzzy soft open and fuzzy soft closed mappings, and fuzzysoft homeomorphism for fuzzy soft topological spaces are given and structural characteristics are discussed and studied.
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].