On fuzzy equivalence I
β Scribed by M.K. Chakraborty; Mili Das
- Book ID
- 104291869
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 405 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
Fuzzy reflexive, symmetric and transitive relations on fuzzy subsets are studied. Various types of reflexivities and corresponding equivalences are considered. The possible fizzy partitioning of a fuzzy subset is investigated.
π 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 Ε½ . restrictive conditions regular fuzzy equivalenc
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