A NOTE ON AN EQUIVALENCE RELATION ON FUZZY SUBGROUPS

Authors
ZHANG YJ ZOU KQ
Citation
Yj. Zhang et Kq. Zou, A NOTE ON AN EQUIVALENCE RELATION ON FUZZY SUBGROUPS, Fuzzy sets and systems, 95(2), 1998, pp. 243-247
Citations number
7
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
95
Issue
2
Year of publication
1998
Pages
243 - 247
Database
ISI
SICI code
0165-0114(1998)95:2<243:ANOAER>2.0.ZU;2-Q
Abstract
The purpose of this paper is to discuss the following three problems: (1) the number of equivalent classes of fuzzy subgroups of a group G, (2) the relationship between the number of equivalent classes of fuzzy subgroups and the order of a cyclic group G, (3) the relationship bet ween the order of fuzzy subgroups and the order of a cyclic group G, ( 4) a classification of a group, using membership values of fuzzy subgr oups, is given. (C) 1998 Elsevier Science B.V.