A note on an equivalence relation on fuzzy subgroups
โ Scribed by Yunjie Zhang; Kaiqi Zou
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 288 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
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 between the order of fuzzy subgroups and the order of a cyclic group G, (4) a classification of a group, using membership values of fuzzy subgroups, is given.
๐ SIMILAR VOLUMES
The dimension of a fuzzy equivalence relation is the minimum number of fuzzy sets needed to generate it. A general theorem is proved that characterizes unidimensional fuzzy equivalence relations. The multidimensional case is also studied under some ลฝ . restrictive conditions regular fuzzy equivalenc