On generalized interval valued bipolar fuzzy ideals in ordered semigroups

Abstract

We introduce the notion of interval valued bipolar (λ~, δ~)-fuzzy left (resp., right, bi-) ideals in ordered semigroups. This concept is a generalized concept of interval valued bipolar fuzzy left (resp., right, bi-) ideals in ordered semigroups. We discuss some basic properties of our initialed notions. Furthermore, we characterize regular and intra-regular ordered semigroups in terms of such concepts.