( λ , μ ) -Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals

Abstract

We introduced $(\lambda ,\mu )$-fuzzy ideals, $(\lambda ,\mu )$-fuzzy interior ideals, $(\lambda ,\mu )$-fuzzy quasi-ideals, and $(\lambda ,\mu )$-fuzzy bi-ideals of an ordered semigroup and studied them. When $\lambda =0$ and $\mu =1$, we meet the ordinary fuzzy ones. This paper can be seen as a generalization of Kehayopulu and Tsingelis (2006), Kehayopulu and Tsingelis (2007), and Yao (2009).