The role of the diagonal operator in fuzzy topology
type: Item
instance of: scholarly article
title: The role of the diagonal operator in fuzzy topology
zbMATH Open document ID: 0658.54006
DOI: 10.1016/0165-0114(88)90082-6
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: The authors introduce fuzzy closure and topological fuzzy closure in the usual manner. Previously they studied characterizing properties for fuzzy topological convergence and observed that the idempotency of closure is not relevant for looking at the definition of convergence and its elementary properties. The same definition of convergence can be formulatd starting with a non-idempotent closure. The authors formulate fuzzy versions of `diagonal condition' and `weak diagonal condition' and use them to show the exact role of the idempotency of closure with regard to convergence.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 4076034
zbMATH Keywords: (weak) diagonal condition
zbMATH Keywords: fuzzy topological convergence
author: Eva Colebunders
author: Robert Lowen
reviewed by: Sobhakar Ganguly
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90082-6
OpenAlex ID: W1992665732
cites work: Q3256687
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cites work: Completeness, compactness, and precompactness in fuzzy uniform spaces. II
description: scientific article; zbMATH DE number 4076034