In this paper we deΓΏne the concept of fuzzy Hv-submodule of an Hv-module and study a few results in this respect. We also consider the fundamental relation \* deΓΏned on an Hv-module M and prove a fundamental theorem concerning the module M= \* .
Fuzzy Hv-groups
β Scribed by B. Davvaz
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 350 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper, we introduce the concept of fuzzy subhypergroup of a hypergroup as well as the fuzzy Hv-group. We prove some results in this respect. We also consider the fundamental relation/~* defined on an Hv-group H and for a fuzzy subset # of H we define the fuzzy subset #~. of H/fl* and prove a fundamental theorem concerning the group H/fl*.
π SIMILAR VOLUMES
If a hyperoperation is weak associative then every greater hyperoperation, defined on the same set, is also weak associative. Using this property, the set of all Hv-groups with a scalar unit, defined on a set with three elements is determined.