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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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(r,s)(r,s)-Fuzzy FF-open sets and (r,s)(r,s)-fuzzy FF-closed spaces

TL;DR: In this paper, the concepts of ( r, s ) -fuzzy F -open and ( r, s )-F -closed sets in double fuzzy topological spaces were introduced.
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Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces

A. A. Salama, +1 more
- 01 Oct 2013 - 
TL;DR: Several properties are obtained, and the relationship between generalized neutrosophic sets and others is discussed, and possible applicat ion to GIS topology rules are touched upon.
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Functorial semantics of topological theories

TL;DR: In this article, the notion of categorical algebraic topology was introduced, and the quasicategory of catalg topological theories was introduced to provide a convenient means for studying topological structures via the properties of their corresponding theories.
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On (L,M)-fuzzy soft topological spaces

TL;DR: In this article, the concepts of (L,M)-fuzzy soft topological spaces, soft base and soft filter spaces were introduced and their properties were studied, where L is a completely distributive lattice with 0 and 1 elements and M is a strictly two-sided, commutative quantale lattice.
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Fuzzy Approximating Spaces

TL;DR: Relationships between fuzzy relations and fuzzy topologies are deeply researched and decision conditions that a fuzzy topological space is a fuzzy approximating space are obtained.
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].