Journal of Applied Mathematics
Volume 2012 (2012), Article ID 425890, 7 pages
http://dx.doi.org/10.1155/2012/425890
Research Article

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

Yuming Feng1,2 and P. Corsini2

1College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
2Dipartimento di Matematica e Informatica, Università Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, Italy

Received 12 July 2011; Accepted 16 December 2011

Academic Editor: Vu Phat

Copyright © 2012 Yuming Feng and P. Corsini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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. When 𝜆 = 0 and 𝜇 = 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).