Generalized fuzzy ideals in ordered semirings

Abstract

In this paper, we introduce the concepts of (∈ , ∈ ∨ (κ∗, qκ)) -fuzzy left (right) ideals and (∈ , ∈ ∨ (κ∗, qκ)) -fuzzy ideals in ordered semirings. Some correspondence between (left, right) ideals and (∈ , ∈ ∨ (κ∗, qκ)) -fuzzy (left, right) ideals of ordered semirings are presented. Moreover, the notion of (κ∗, κ) -lower part of (∈ , ∈ ∨ (κ∗, qκ)) -fuzzy (left, right) ideals is defined and characterizations of different classes of ordered semirings are given.