Separation axioms in fuzzy topology characterized by bitopologies
type: Item
instance of: scholarly article
title: Separation axioms in fuzzy topology characterized by bitopologies
zbMATH Open document ID: 0796.54008
DOI: 10.1016/0165-0114(93)90496-5
author: Rıza Ertürk
published in: Fuzzy Sets and Systems
publication date: 1994-09-28T00:00:00Z
review text: Let \(L\) be a fuzzy lattice, \(T\) be a fuzzy topology on \(L\) and \(M(L)\) be the set of all molecules in \(L\). With the fuzzy topological space \((L,T)\) a bitopological space \((M,u,v)\) is associated. A characterization of certain separation axioms for \((L,T)\) in terms of separation axioms for \(M(u,v)\) is given. Some of the results are as follows: \((L,T)\) is molecular \(f\)-\(T_ i\) iff \((M,u,v)\) is ordered-pairwise \(T_ i\), \(i=0,1,2\). \((L,T)\) is molecular \(f\)-\(R_ 0\) (\(f\)-regular, \(f\)-completely regular, \(f\)-normal) iff \((M,u,v)\) is pairwise \(R_ 0\) (regular, completely regular, normal).
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E55
zbMATH DE Number: 549409
zbMATH Keywords: fuzzy lattice
zbMATH Keywords: molecules
zbMATH Keywords: molecular
Wikidata QID: Q114684159
reviewed by: Dušan Adnadjević
MaRDI profile type: Publication
full work available at URL: 0165-0114(93)90496-5
OpenAlex ID: W1968742121
cites work: Q3898534
cites work: Separation axioms in fuzzy topological spaces
description: scientific article; zbMATH DE number 549409