Generalized fuzzy k−ideals of semirings with interval-valued membership functions
نویسنده
چکیده
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. Keyword: Semiring, k−ideal, Interval-valued (α, β)−fuzzy k−ideal, Fuzzy logic, Implication operator 2000 Mathematics Subject Classification: 08A72, 16Y60
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