Compactness in fuzzifying topology
type: Item
instance of: scholarly article
title: Compactness in fuzzifying topology
zbMATH Open document ID: 0791.54003
DOI: 10.1016/0165-0114(93)90303-Y
published in: Fuzzy Sets and Systems
publication date: 1994-01-27T00:00:00Z
review text: The concept of a fuzzifying topology was introduced by the author [ibid. 39, 303-321 (1991; Zbl 0718.54017)] and thoroughly studied by him in a series of subsequent papers. In the present paper the concept of compactness for fuzzifying topologies is introduced; in fact it is a unary fuzzy predicate on the class of fuzzifying topological spaces. The author establishes generalized versions of the Tykhonov and the Wallace theorems and of some other classical results in the context of fuzzifying topologies. As in the author's previous papers, the basic tool of investigation here is the semantic method of continuous logic.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 487535
zbMATH Keywords: Tykhonov theorem
zbMATH Keywords: fuzzy predicate
zbMATH Keywords: fuzzifying topological spaces
zbMATH Keywords: semantic method
zbMATH Keywords: continuous logic
author: Mingsheng Ying
reviewed by: Alexander Šostak
MaRDI profile type: Publication
cites work: Q3226265
cites work: A new approach for fuzzy topology. I
cites work: A new approach for fuzzy topology. II
cites work: A new approach for fuzzy topology. III
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description: scientific article; zbMATH DE number 487535