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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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Journal ArticleDOI

Topological structure of fuzzy soft sets

TL;DR: In this paper, the concept of fuzzy soft topology is introduced and some of its structural properties such as neighborhood of a fuzzysoft set, interior fuzzy soft set, fuzzy soft basis, and fuzzy soft subspace topology are studied.
Book ChapterDOI

Categorical Foundations of Variable-Basis Fuzzy Topology

TL;DR: This chapter lays categorical foundations for topology and fuzzy topology in which the basis of a space—the lattice of membership values—is allowed to change from one object to another within the same category.
Journal ArticleDOI

On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

TL;DR: In this paper, the concept of generalized neutrosophic pre-closed sets (GNPS) was introduced and relations and various properties between the other existing GNPS open and closed sets were studied.
Journal ArticleDOI

Smooth topological spaces

TL;DR: In this paper, the concepts of subspace, continuity and compactness of a smooth topological space are studied and links between smooth topologies and fuzzy topological spaces are given.
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].