Operations on \(L\)-fuzzy topological spaces
type: Item
instance of: scholarly article
title: Operations on \(L\)-fuzzy topological spaces
zbMATH Open document ID: 0791.54006
DOI: 10.1016/0165-0114(93)90407-9
author: K. M. Abd El-Hakeim
author: A. A. Ramadan
published in: Fuzzy Sets and Systems
publication date: 1994-01-21T00:00:00Z
review text: The authors introduce operations on \(L\)-fuzzy topological spaces, where \(L\) is a complemented, completely distributive lattice. They study two kinds of operations, those defined on the fuzzy topology which enlarge each set and those defined on the family of closed sets which shrink each set. They derive some algebraic properties of operations and generalize some results on \(\alpha\)-level properties such as \(\alpha\)-continuity, \(\alpha\)-separation, and several kinds of \(\alpha\)-level compactness and covering properties. Operations are presented as a concept which unifies previously studied variations of \(\alpha\)-level properties.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 487480
zbMATH Keywords: \(\alpha\)-compactness
zbMATH Keywords: \(\alpha\)-level properties
zbMATH Keywords: \(\alpha\)-continuity
zbMATH Keywords: \(\alpha\)-separation
MaRDI profile type: Publication
full work available at URL: 0165-0114(93)90407-9
OpenAlex ID: W2005018646
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description: scientific article; zbMATH DE number 487480