On Normal Fuzzy Submultigroups of a Fuzzy Multigroup

P. A. Ejegwa


In this paper, we propose the notion of normal fuzzy submultigroups of a fuzzy multigroup. Some properties of normal fuzzy submultigroups of a fuzzy multigroup are explored and some related results are obtained. It is shown that a fuzzy submultigroup of a fuzzy multigroup is normal if and only if its alpha-cut is a normal subgroup of a given group. The concepts of commutator and normalizer  in fuzzy multigroup setting are introduced and some results are deduced.


Fuzzy comultiset, Fuzzy multiset, Fuzzy multigroup, Fuzzy submultigroup, Normal fuzzy submultigroup

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