International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 838392, 14 pages
doi:10.1155/2010/838392
Generalized fuzzy interior ideals in Abel-Grassmann's groupoids.
Asghar Khan1
, Young Bae Jun2
and Tahir Mahmood3
1Department of Mathematics, COMSATS Institute of Information Technology, 22060 Abbottabad, Pakistan
2Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, South Korea
3Department of Applied Mathematics, International Islamic University, 45320 Islamabad, Pakistan
Abstract
Using the notion of a fuzzy point and its belongness to and quasicoincidence with a fuzzy subset, some new concepts of a fuzzy interior ideal in Abel Grassmann's groupoids S are introduced and their interrelations and related properties are invesitigated. We also introduce the notion of a strongly belongness and strongly quasicoincidence of a fuzzy point with a fuzzy subset and characterize fuzzy interior ideals of S in terms of these relations.