Editorial to the ``Special issue on fuzzy topology''
type: Item
instance of: scholarly article
title: Editorial to the ``Special issue on fuzzy topology''
zbMATH Open document ID: 0867.54003
DOI: 10.1016/0165-0114(95)90053-5
author: Ulrich Höhle
author: S. E. Rodabaugh
author: Alexander Šostak
published in: Fuzzy Sets and Systems
publication date: 1996-10-30T00:00:00Z
review text: In their editorial preface the editors distinguish three major trends in fuzzy topology: 1) the lattice-theoretical approach, 2) the category theoretic approach, 3) the model-theoretical understanding of fuzzy topology. They supply this by numerous examples from their impressive list of references (77 items). ``The aim of this Special Issue is to highlight these trends \dots'' ``In order to orient the reader, we briefly classify the papers in this issue relative to the above mentioned three trends \dots\ . First, the paper of \textit{D. Adnadjević} and \textit{A. P. Šostak} as well as that of \textit{T. Kubiak} represent the lattice-theoretic trend. Second, the papers of \textit{N. Ajmal} and \textit{R. D. Sarma}, \textit{S. E. Rodabaugh}, \textit{Zhou Jie} represent both the lattice-theoretic and category-theoretic trends. Third, the papers of \textit{W. Gähler}, \textit{U. Höhle} and \textit{A. Šostak} [A general theory of fuzzy topological spaces, pp. 131-149], \textit{E. E. Kerre} and \textit{N. N. Morsi}, \textit{M. A. Amer} and \textit{N. N. Morsi} are related in various ways to the category-theoretic and/or model-theoretic trends [the above mentioned papers are reviewed below, with one exception].
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 919374
MaRDI profile type: Publication
full work available at URL: 0165-0114(95)90053-5
OpenAlex ID: W4244178039
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