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

Author:

Feng Yuming12,Corsini P.2

Affiliation:

1. College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China

2. Dipartimento di Matematica e Informatica, Università Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, Italy

Abstract

We introduced(λ,μ)-fuzzy ideals,(λ,μ)-fuzzy interior ideals,(λ,μ)-fuzzy quasi-ideals, and(λ,μ)-fuzzy bi-ideals of an ordered semigroup and studied them. Whenλ=0andμ=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).

Funder

China Three Gorges University

Publisher

Hindawi Limited

Subject

Applied Mathematics

Reference13 articles.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Exploring Regularities of Ordered Semigroups Through Generalized Fuzzy Ideals;INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS;2024-06-30

2. Characterizations of generalized fuzzy ideals in ordered semigroups;Journal of Intelligent & Fuzzy Systems;2023-08-01

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