The Lower and Upper Approximations of Fuzzy Sets in a Fuzzy Group

Authors:
Degang Chen;Wenxiu Zhang
Affiliations:
-;-
Venue:
AFSS '02 Proceedings of the 2002 AFSS International Conference on Fuzzy Systems. Calcutta: Advances in Soft Computing
Year:
2002

Citing 5
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Abstract

In this paper we define the lower and upper approximations of fuzzy sets in a group with respect to a fuzzy normal subgroup and study their product properties. We introduce the notion of a rough fuzzy subgroup of a group with respect to a fuzzy normal subgroup and study the relation between the fuzzy subgroup and the rough fuzzy subgroup. We also study the homomorphic properties of the rough fuzzy subgroups.