Abstract
In this paper, we first consider the general forms of interval valued (α,β) -fuzzy bi-ideals of an ordered semigroup, where and , and several related properties are investigated. In particular, we attempt to study interval valued -fuzzy bi-ideals of ordered semigroups, and obtain some interesting characterization theorems. Furthermore, the idea of prime interval valued -fuzzy bi-ideals in ordered semigroups is given and the related theorems are provided.
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