Fuzzy equivalence relation redefined
β Scribed by K.C. Gupta; R.K. Gupta
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 389 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the deΓΏnition of fuzzy subgroup only the subset is fuzzy whilst the group ope
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 Ε½ . restrictive conditions regular fuzzy equivalenc
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 fu