Fuzzy topology on fuzzy sets: Product fuzzy topology and fuzzy topological groups
type: Item
instance of: scholarly article
title: Fuzzy topology on fuzzy sets: Product fuzzy topology and fuzzy topological groups
zbMATH Open document ID: 0945.54006
DOI: 10.1016/S0165-0114(97)00070-5
author: Pratulananda Das
published in: Fuzzy Sets and Systems
publication date: 2000-03-12T00:00:00Z
review text: Considering the notion of fuzzy topology on fuzzy sets [\textit{M. K. Chakraborty} and \textit{T. M. G. Ahsanullah}, ibid. 45, No. 1, 103-108 (1992; Zbl 0754.54004)] the present author introduces the concept of product fuzzy topology and investigates the product invariance of fuzzy Hausdorffness, compactness and connectedness. Using the notion of product fuzzy topology the author introduces the concept of fuzzy topological groups. In so doing, the author alters the notion of fuzzy topology taking all constant fuzzy sets into consideration -- an idea similar to \textit{R. Lowen} [J. Math. Anal. Appl. 56, 621-633 (1976; Zbl 0342.54003)].
reviewed by: T. M. G. Ahsanullah
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 1398893
MaRDI profile type: Publication
cites work: Fuzzy topology on fuzzy sets and tolerance topology
cites work: Fuzzy topological spaces
cites work: Some results on fuzzy topology on fuzzy sets
cites work: Fuzzy topological groups
cites work: Fuzzy topological spaces and fuzzy compactness
cites work: Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence
cites work: Fuzzy groups
cites work: Fuzzy topology: product and quotient theorems
full work available at URL: s0165-0114(97)00070-5
OpenAlex ID: W2060162452
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description: scientific article; zbMATH DE number 1398893