\((\in, \in \vee_q)\)– Fuzzy Ideals of \(K\)-Algebras

Abstract

Our work in this paper is concerned with a new kind of fuzzy ideal of a \(K\)-algebra called an \((\in, \in \vee_q)\)-fuzzy ideal. We investigate some interesting properties of \((\in, \in \vee_q)\)-fuzzy ideals of \(K\)-algebras. We study fuzzy ideals with thresholds which is a generalization of both fuzzy ideals and \((\in, \in \vee_q)\)-fuzzy ideals. We also present characterization theorems of implication-based fuzzy ideals.