On Normal Fuzzy Submultigroups of a Fuzzy Multigroup

Abstract

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.