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Fuzzy Hv-groups

✍ 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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✦ 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*.


πŸ“œ SIMILAR VOLUMES


Fuzzy Hv-submodules
✍ B. Davvaz πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 113 KB

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= \* .

A note on fuzzy HV-submodules
✍ B. Davvaz πŸ“‚ Article πŸ“… 2003 πŸ› Springer-Verlag 🌐 English βš– 129 KB
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✍ Thomas Vougiouklis πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 279 KB

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.

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