Generalized Fuzzy k-Ideals of Semirings with Interval-Valued Membership Functions

The concept of quasi-coincidence of an interval-valued fuzzy set is considered. By using this !lew idea, the notion of interval-valued (alpha,beta)-fuzzy k-ideals of sernirings is introduced, which is a generalization of a fuzzy k-ideal. Also some related properties are studied and in particular, the interval-valued (E, E vq)-fuzzy k-ideals in a semiring will be investigated. Finally, the concept of implication-based interval-valued fuzzy k-ideals and its basic properties in logical view are considered.