Fuzzy subgroups are different from ordinary subgroups in that one cannot tell with certainty which group elements belong and which do not. Of course this requires an appropriate modification of the closure property which takes the form of an inequality. In this paper a study of products of fuzzy sub
Semidirect products OF fuzzy subgroups
β Scribed by B.W. Wetherilt
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 269 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
We ΓΏnd necessary and su cient conditions for a fuzzy subgroup of a Cartesian product of groups to be a Cartesian product of fuzzy subgroups.
In this short communication, we have studied some properties of the product of two fuzzy subsets and fuzzy subgroups.
## Abstract We call a group __G__ with subgroups __G__~1~, __G__~2~ such that __G__β=β__G__~1~__G__~2~ and both __N__β=β__G__~1~ββ©β__G__~2~ and __G__~1~ are normal in __G__ a semidirect product with amalgamated subgroup __N__. We show that if __G__~l~ is a group with __N__~l~ββ²β__G__~l~ containing