Intra regular Abel-Grassmann's groupoids characterized by their intuitionistic fuzzy ideals
Group Theory
2010-10-25 v1
Abstract
In this paper, we have discussed the properties of intuitionistic fuzzy ideals of an AG-groupoids. We have characterized an intra-regular AG-groupoid in terms of intuitionistic fuzzy left (right, two-sided) ideals, fuzzy (generalized) bi-ideals, intuitionistic fuzzy interior ideals and intuitionistic fuzzy quasi ideals. We have proved that the intuitionistic fuzzy left (right, interior, quasi) ideal coincides in an intra-regular AG-groupoid. We have also shown that the set of intuitionistic fuzzy two-sided ideals of an intra-regular AG-groupoid forms a semilattice structure.
Keywords
Cite
@article{arxiv.1010.4704,
title = {Intra regular Abel-Grassmann's groupoids characterized by their intuitionistic fuzzy ideals},
author = {Madad Khan and Faisal},
journal= {arXiv preprint arXiv:1010.4704},
year = {2010}
}