On Characterizations Of Generalized Fuzzy Ideals Of Bci-Algebras

The aim of this study is to introduce the notions of (,q)-FSI-ideals and (,q)-FSC-ideals of BCI-algebras and to investigate some of their related properties. Some characterization theorems of these generalized fuzzy ideals are derived. The relationship among these generalized fuzzy ideals of BCI-algebras is considered. We show that a fuzzy set of a BCI-algebra is an (,q)-FSI-ideal if and only if it is both an (,q)-FSC-ideal and an (,q)-FPI-ideal. Finally, we consider the concepts of implication-based FSI (resp., FSC)-ideals of BCI-algebras.