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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 Continuous Mappings in Fuzzy Normed Linear Spaces

TL;DR: The notion of uniformly fuzzy continuous mapping is introduced and the uniform continuity theorem in fuzzy settings is established and a fuzzy version for Banach’s contraction principle is obtained.
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Some fuzzy topological operators via fuzzy ideals

TL;DR: The purpose of this paper deals with new sort of fuzzy local function namely fuzzy α-local function, many of its characterizations, properties and connections between it and other corresponding fuzzy notions are studied.
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On enriched L-topologies: Base and subbase

TL;DR: By making use of fuzzy inclusion order, the notions of bases (subbases) for three enriched L-topologies including stratified, strong and Alexandrov L- topologies, are presented and an application in open and continuous functions is offered.
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One-point compactifications of ditopological texture spaces

TL;DR: A one-point compactification of a ditopological texture space is defined and a concept of local compactness introduced and shown to be additive in the class of ditipological texture spaces, where L is a Hutton algebra.
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γ-Connectedness in fuzzy topological spaces

TL;DR: The aim of this paper is to introduce the concept -connectedness in fuzzy topological spaces and investigate some interre lations between this types of fuzzy connectedness together with the preservation properties under some type of fuzzy continuity.
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].