Fuzzy sets and functions on fuzzy spaces
type: Item
instance of: scholarly article
title: Fuzzy sets and functions on fuzzy spaces
zbMATH Open document ID: 0639.54004
DOI: 10.1016/0022-247X(87)90050-3
author: Tuna Hatice Yalvaç
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The author uses fuzzy points and quasi-coincidence to characterize fuzzy semi-regular and fuzzy regular spaces as defined by \textit{K. K. Azad} [J. Math. Anal. Appl. 82, 14-32 (1981; Zbl 0511.54006)]. For example, X is fuzzy regular if and only if every \(p\in X\) has a Q-neighborhood base of fuzzy closed sets. Several characterizations of fuzzy semi-continuity, fuzzy weak continuity, and fuzzy almost continuity are also derived. Lastly, these concepts are related to fuzzy versions of Urysohn spaces, Wilansky almost openness, and Hussian almost continuity.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54C10
zbMATH DE Number: 4042800
zbMATH Keywords: fuzzy points
zbMATH Keywords: quasi-coincidence
zbMATH Keywords: fuzzy regular spaces
zbMATH Keywords: fuzzy semi- continuity
zbMATH Keywords: fuzzy weak continuity
zbMATH Keywords: fuzzy almost continuity
zbMATH Keywords: Urysohn spaces
zbMATH Keywords: Wilansky almost openness
zbMATH Keywords: Hussian almost continuity
MaRDI profile type: Publication
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full work available at URL: 0022-247x(87)90050-3
OpenAlex ID: W1989338752
description: scientific article; zbMATH DE number 4042800