On fuzzy semiregularization, separation properties and mappings
type: Item
instance of: scholarly article
title: On fuzzy semiregularization, separation properties and mappings
zbMATH Open document ID: 0769.54006
author: Z. Petrićević
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1992-08-13T00:00:00Z
review text: A new definition for fuzzy \(\delta\)-open and \(\delta\)-closed sets is supplied in this paper and it has been shown that the topology \(\tau^ \delta_ X\) generated by fuzzy \(\delta\)-open sets is precisely the fuzzy semiregularization topology \(\tau_ S\); in studying the basic properties of \(\tau^ \delta_ X\) and \(\tau_ S\), it has been shown that unlike general topology fuzzy semiregularization is not preserved for Tychonoff products. Some fundamental separation properties are studied along with the relationship between \(\tau^ \delta_ X\) and \(\tau_ X\) in the context of these axioms. In fuzzy setting the author has studied compactness and connectedness by means of fuzzy semiregularization topologies. Finally, super-continuity has been defined, some characterizations are given and a comparison between different forms of continuity in fuzzy topology has been studied.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 39795
zbMATH Keywords: fuzzy super-continuity
zbMATH Keywords: fuzzy semiregularization topology
reviewed by: S. Saha
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 39795