Fuzzy congruence pairs of the completely regular semigroup
Sanyang Liu · Journal of Xidian University · 2005
The method of kernel-trace is successful in the study of congruence of the semigroup.The fuzzy set is the generalization of the classical set,while the fuzzy relation is a special function.In this paper we study the fuzzy kernel-trace of the fuzzy congruence relation on some class semigroup,that is,the notions of fuzzy kernel and fuzzy trace of a fuzzy congruence relation on a completely regular semigroup;we establish these notions by introducing fuzzy congruence pairs.Finally,we put emphasis on a one-to-one corre-spondence between fuzzy congruence pairs and fuzzy congruence on a completely regular semigroup.