Journal ArticleDOI
On fuzzy topological spaces
TLDR
The concept of almost fuzzy continuous mapping from a fuzzy topological space into another is introduced and discussed and the benefits of this approach are discussed.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1986-06-01. It has received 37 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Journal ArticleDOI
On the topological properties of fuzzy rough sets
Keyun Qin,Zheng Pei +1 more
TL;DR: It is proved that the set of all lower approximation sets based on a reflexive and transitive fuzzy relation consists of a fuzzy topology which satisfies (TC) axiom; and conversely, a fuzzyTopology which obey (TC).
Journal ArticleDOI
On some near-fuzzy continuous functions between fuzzy topological spaces
M. N. Mukherjee,S. P. Sinha +1 more
TL;DR: A comparative study regarding the mutual interrelations among these maps along with fuzzy continuous maps is made and a study of the characterizations and properties of these functions.
Journal ArticleDOI
Semi-continous and semi-closed mappings and semi-connectedness in fuzzy setting
TL;DR: Different characterizations of semi-continuous and semi-closed mappings between fuzzy topological spaces are studied and fuzzy semi-connectedness is introduced and studied to some extent.
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θ-Compact fuzzy topological spaces
Miguel Caldas,Saeid Jafari +1 more
TL;DR: This paper introduces and study the notion of θ-compactness for fuzzy topological spaces and investigates its application to discrete-time topology.
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Irresolute and lmost open functions between fuzzy topological spaces
M. N. Mukherjee,S. P. Sinha +1 more
TL;DR: The aim of this paper is to introduce and characterize the concept of fuzzy irresolute functions which is strictly stronger than the idea of fuzzy semi-continuous functions and independent of the notion of fuzzy continuous functions.
References
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Journal ArticleDOI
The fuzzy tychonoff theorem
TL;DR: In this article, the authors define cl∞-monoids, which are used to measure the degree of membership of points in sets, and define L- or "fuzzy" sets are defined, and suitable collections of these are called L-topological spaces.
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Fuzzy neighborhood spaces
TL;DR: This paper introduces a subcategory of the category of fuzzy topological spaces and proves basic properties of this subcategory, the notion of fuzzy neighborhoods, which enables us to introduce a local theory of fuzzytopologies.