GENERALIZED FUZZY QUOTIENT SUBGROUPS

Authors
MASHINCHI M MUKAIDONO M
Citation
M. Mashinchi et M. Mukaidono, GENERALIZED FUZZY QUOTIENT SUBGROUPS, Fuzzy sets and systems, 74(2), 1995, pp. 245-257
Citations number
39
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
74
Issue
2
Year of publication
1995
Pages
245 - 257
Database
ISI
SICI code
0165-0114(1995)74:2<245:GFQS>2.0.ZU;2-N
Abstract
In this paper we consider the fuzzy subgroup of a given group defined by generalized triangular norms and conorms introduced by Yager (1986) . The definitions of a (anti) fuzzy subgroup and a (anti) pseudo fuzzy subgroup are reviewed. Then, a generalized Fuzzy Cayley Theorem, as w ell as a partial generalization of Fuzzy Lagrange Theorem are given. A lso, a unified approach for studying fuzzy quotient subgroups is discu ssed. Some correspondence theorems for several kinds of fuzzy subgroup s are proved and examples of generalized triangular norms (conorms) ar e given.