Fuzzy Interior Ideals with Thresholds (s, t] in Ordered Semigroups

Manoj Siripitukdet, Anusara Ruanon

Abstract

We investigate someinteresting properties of fuzzy interior ideals with thresholds (s,t] in ordered semigroups and characterize an ordered semigroup by means of fuzzy interior ideals with thresholds (s,t]. We also prove that in a regular (resp. intra-regular and semisimple) ordered semigroup the concept of fuzzy ideals with thresholds $(s,t]$ and fuzzy interior ideals with thresholds (s,t] coincide.