Research Article | OPEN ACCESS
On Fuzzy-Γ -ideals of Γ-Abel-Grassmann's Groupoids
Madad Khan, Saima Anis and Faisal
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Research Journal of Applied Sciences, Engineering and Technology 2013 8:1326-1334
Received: May 04, 2012 | Accepted: February 01, 2013 | Published: July 10, 2013
Abstract
In this study, we have introduced the notion of Γ-fuzzification in Γ-AG-groupoids which is in fact the generalization of fuzzy AG-groupoids. We have studied several properties of an intra-regular Γ-AG** -groupoids in terms of fuzzy Γ-left (right, two-sided, quasi, interior, generalized bi-, bi-) ideals. We have proved that all fuzzy Γ-ideas coincide in intra-regular Γ-AG** -groupoids We have also shown that the set of fuzzy Γ-two-sided ideals of an intra-regular Γ-AG**-groupoid forms a semilattice structure.
Keywords:
Γ-AG-subgroupoid, Γ-AG**-groupoid, Γ-AG**-groupoid and intra-regular, fuzzy subset, fuzzy Γ - ideals, fuzzy Γ-AG-groupoid,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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