On fuzzy groups and group homomorphism

الملخص EN

In this paper, we study the effect of group homomorphism on the chain of level subgroups of fuzzy groups.

We prove a necessary and sufficient conditions under which the chains of level subgroups of homomorphic images of an a arbitrary fuzzy group can be obtained from that of the fuzzy groups.

Also, we find the chains of level subgroups of homomorphic images and pre-images of arbitrary fuzzy groups.