Neighborhood systems in fuzzy topological group
type: Item
instance of: scholarly article
title: Neighborhood systems in fuzzy topological group
zbMATH Open document ID: 1025.54002
DOI: 10.1016/S0165-0114(98)00274-7
author: R. Smith
published in: Fuzzy Sets and Systems
publication date: 2001-02-11T00:00:00Z
review text: Considering Warren neighborhood systems [\textit{R. H. Warren}, Rocky Mountain J. Math. 8, No. 3, 459-470 (1978; Zbl 0394.54003)], the authors establish a necessary and sufficient condition for a familiy of fuzzy sets in a group to be a family of neighborhoods of the identity element of a fuzzy topological group. As an application, a result on so-called mixed fuzzy topological groups is obtained.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54H11
zbMATH DE Number: 1563565
zbMATH Keywords: Warren neighborhood systems
zbMATH Keywords: fuzzy topological group
reviewed by: T. M. G. Ahsanullah
MaRDI profile type: Publication
cites work: Q4308456
cites work: Q4867953
cites work: Mixed topological groups
cites work: Fuzzy topological groups
cites work: Fuzzy topological vector spaces. I
cites work: Fuzzy vector spaces and fuzzy topological vector spaces
cites work: Fuzzy topological spaces and fuzzy compactness
cites work: Neighborhoods, bases and continuity in fuzzy topological spaces
Wikidata QID: Q126812388
full work available at URL: s0165-0114(98)00274-7
OpenAlex ID: W2025076153
description: scientific article; zbMATH DE number 1563565