Title of article :
On Fuzzy Groups and Group Homomorphism
Author/Authors :
Tawfiq, L. N. M. University of Baghdad - College of Education-Ibn Al-Haitham - Department of Mathematics, Iraq , Qa aed, M. M. Universityof Baghdad - College of Education Ibn Al-Haitham - Department of Mathematics, Iraq
Abstract :
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.
Keywords :
Fuzzy Groups , Group Homomorphism
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
