In a way, the notion of fuzzy multigroups is an application of fuzzy multisets to the theory of group. The concept of fuzzy multigroups is a new algebraic structure of uncertainty which generalizes fuzzy groups. Fuzzy multigroup is a multiset of X x [0; 1] satisfying some set of axioms, where X is a classical group. In this paper, we propose the concept of homomorphism in fuzzy multigroups context. Some homomorphic properties of fuzzy multigroups are explicated. Again, we show that the homomorphic image and homomorphic preimage of fuzzy multigroups are also fuzzy multigroups. Finally, we present some homomorphic properties of normalizer of fuzzy multigroups.
Ejegwa, P. A.
Homomorphism of Fuzzy Multigroups and Some of its Properties,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
1, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/8