Volume 32 • Number 3 • 2009   • Generalized Fuzzy k-Ideals of Semirings with Interval-Valued Membership Functions Hossein Hedayati Abstract. The concept of quasi-coincidence of an interval-valued fuzzy set is considered. By using this new idea, the notion of interval-valued (α, β)-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 (∈, ∈ ∨ 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. 2000 Mathematics Subject Classification: 08A72, 16Y60. Full text: PDF