Title of article
Regular AG-groupoids characterized by (?,??qk ) -fuzzy ideals
Author/Authors
Khan، A نويسنده 1Department of Mathematics, COMSATS Institute of Information Technology Khyber Pukhtoon Khwa, Abbottabad, Pakistan , , Sarmin، N.H نويسنده Department of Mathematics, Faculty of Science, University of Technology, Malaysia 81310 UTM Johor Bahru, Johor, Malaysia , , KHAN، F.M. نويسنده , , Davvaz، B نويسنده Department of Mathematics, Yazd University Yazd, Iran ,
Issue Information
دوفصلنامه با شماره پیاپی 0 سال 2012
Pages
17
From page
97
To page
113
Abstract
In this paper, we introduce a considerable machinery which permits us to characterize a number of special (fuzzy)
subsets in AG -groupoids. Generalizing the concepts of (?,??q) -fuzzy bi-ideals (interior ideal), we define
( , ) k ???q -fuzzy bi-ideals, ( , ) k ???q -fuzzy left (right)-ideals and ( , ) k ???q -fuzzy interior ideals in
AG -groupoids and discuss some fundamental aspects of these ideals in AG -groupoids. We further define
( , ) k ??? q -fuzzy bi-ideals and ( , ) k ??? q -fuzzy interior ideals and give some of their basic properties in
AG -groupoids. In the last section, we define lower/upper parts of ( , ) k ???q -fuzzy left (resp. right) ideals
and investigate some characterizations of regular and intera-regular AG -groupoids in terms of the lower parts of
( , ) k ???q -fuzzy left (resp. right) ideals and ( , ) k ???q -fuzzy bi-ideal of AG -groupoids.
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Serial Year
2012
Journal title
Iranian Journal of Science and Technology Transaction A: Science
Record number
1596585
Link To Document