Abstract
In this article, we first introduce the concept of quasi-coincidence of an interval valued fuzzy point with an interval valued fuzzy subset. This concept is a generalization of the concept of quasi-coincidence of a fuzzy point within a fuzzy subset. By using this new idea, we introduce the concept of an interval valued (α, β)-fuzzy bi-ideals in ordered semigroups. Which is a generalization of the idea of an (α, β)-fuzzy bi-ideals in ordered semigroups. Some interesting results of the algebraic ordered semigroups in terms of interval valued (α, β)-fuzzy bi-ideals are given. By using interval valued ($ε, ε $\vee$ q)-fuzzy bi-ideals some interesting results are obtained.
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