Journal of Applied Mathematics
Volume 2012 (2012), Article ID 627075, 16 pages
http://dx.doi.org/10.1155/2012/627075
Research Article

Generalized Fuzzy Quasi-Ideals of an Intraregular Abel-Grassmann's Groupoid

Bijan Davvaz,1 Madad Khan,2 Saima Anis,2 and Shamsul Haq2

1Department of Mathematics, Yazd University, Yazd 89195-741, Iran
2Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan

Received 19 January 2012; Revised 28 March 2012; Accepted 3 April 2012

Academic Editor: Hector Pomares

Copyright © 2012 Bijan Davvaz et al. 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 have introduced a new nonassociative class of Abel-Grassmann's groupoid, namely, intraregular and characterized it in terms of its (∈,∈∨q)-fuzzy quasi-ideals.