GENERALIZED FUZZY K-IDEALS OF SEMIRINGS WITH INTERVAL VALUED MEMBERSHIP FUNCTIONS
Malaysian Mathematical, H. Hedayati · 2009
The concept of quasi-coincidence of an interval-valued fuzzy set is considered. By using this new idea, the notion of interval-valued (, )-fuzzy k-ideals of semirings is introduced, which is a generalization of a fuzzy k-ideal. Also some related properties are studied and in particular, the interval-valued (2,2 _q)-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.