In this paper, we introduce a new sort of interval valued ∈, ∈ ∨q δ k -fuzzy bi-ideal in ordered semigroups which is the generalization of interval valued ∈, ∈ ∨q k -fuzzy bi-ideal and interval valued (∈, ∈ ∨q)-fuzzy bi-ideal of ordered semigroups. We give examples in which we show that these structures are more general than previous one. Finally, we characterize ordered semigroup by the property of interval valued ∈, ∈ ∨q δ k -implication based fuzzy bi-ideals.
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