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.
Cite
CITATION STYLE
Chen, D., & Zhang, W. (2002). The lower and upper approximations of fuzzy sets in a fuzzy group. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2275, pp. 502–508). Springer Verlag. https://doi.org/10.1007/3-540-45631-7_69
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