The theory of global fuzzy neighborhood structures. III: Fuzzy uniform structures
type: Item
instance of: scholarly article
title: The theory of global fuzzy neighborhood structures. III: Fuzzy uniform structures
zbMATH Open document ID: 0934.54006
DOI: 10.1016/S0165-0114(97)00347-3
author: Werner Gähler
author: Fatma Bayoumi
author: A. Kandil
author: Ali Ahmed Nouh
published in: Fuzzy Sets and Systems
publication date: 2000-04-10T00:00:00Z
review text: This is the third part of a series by the authors, in the first and the second parts they introduced global fuzzy neighbourhood structures and global fuzzy neighbourhood prestructures with respect to the partially ordered fuzzy filter monad. In this part the authors continue their research to establish a theory of fuzzy uniformity by means of fuzzy filters. After some necessary preparation on fuzzy filters on \(X\times X\), they define fuzzy uniformity on a set \(X\) as a special fuzzy filter on \(X\times X\) analogous to A. Weil's definition of uniformity. Relationships to fuzzy syntopogeneous structures, Katsaras fuzzy uniformity, fuzzy topology and global fuzzy neighbourhood structures, etc., are systematically investigated.
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 1320380
zbMATH Keywords: fuzzy uniform space
zbMATH Keywords: fuzzy filter monad
MaRDI profile type: Publication
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full work available at URL: s0165-0114(97)00347-3
OpenAlex ID: W2067572300
description: scientific article; zbMATH DE number 1320380