Neighborhood systems in fuzzy topological group

Authors
Das, NR Das, P
Citation
Nr. Das et P. Das, Neighborhood systems in fuzzy topological group, FUZ SET SYS, 116(3), 2000, pp. 401-408
Citations number
9
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
116
Issue
3
Year of publication
2000
Pages
401 - 408
Database
ISI
SICI code
0165-0114(200012)116:3<401:NSIFTG>2.0.ZU;2-A
Abstract
In this paper, we have established a necessary and sufficient condition for a family of fuzzy sets in a group to be the family of neighborhoods of the identity element of a fuzzy topological group. As an application, a mixed fuzzy topological group is constructed from two given fuzzy topological gro ups with the help of neighborhood systems. (C) 2000 Elsevier Science B.V. A ll rights reserved.