Fuzzy n-Ary Groups as a Generalization of Rosenfeld’s Fuzzy Groups
Bijan Davvaz and Wieslaw A. Dudek
The notion of an n-ary group is a natural generalization of the notion of a group and has many applications in different branches. In this paper, the notion of (normal) fuzzy n-ary subgroup of an n-ary group is introduced and some related properties are investigated. Characterizations of fuzzy n-ary subgroups are given.
Keywords: Fuzzy set, n-ary group.
2000 Mathematics Subject Classification: 20N20, 20N25