In this paper, we introduce the concept of (α, β)-bipolar fuzzy generalized bi-ideal in ordered semigroup, which is a generalization of bipolar-fuzzy generalized bi-ideal in ordered semigroup. Using this concept, we provide some characterization theorems. We prove that in regular ordered semigroup, the concept of (∈, ∈ ∨q)-bipolar fuzzy generalized bi-ideal and (∈, ∈ ∨q)-bipolar fuzzy bi-ideal coincide. We also introduce the upper/lower parts of (∈, ∈ ∨q)-bipolar fuzzy generalized bi-ideals and characterize the regular ordered semigroups in terms of lower part of (∈, ∈ ∨q)-bipolar fuzzy left (resp. right or two sided) ideals and (∈, ∈ ∨q)-bipolar fuzzy generalized bi-ideals.
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