TY - JOUR ID - 2061 TI - Regular AG-groupoids characterized by ( , ) k q -fuzzy ideals JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - Khan, A. AU - Sarmin, N. H. AU - Khan, F. M. AU - Davvaz, B. AD - Department of Mathematics, COMSATS Institute of Information Technology Khyber Pukhtoon Khwa, Abbottabad, Pakistan AD - Department of Mathematics, Faculty of Science, University of Technology, Malaysia 81310 UTM Johor Bahru, Johor, Malaysia AD - Department of Mathematics, Yazd University Yazd, Iran Y1 - 2012 PY - 2012 VL - 36 IS - 2 SP - 97 EP - 113 KW - Fuzzy ideals KW - ( , ) k q -fuzzy ideals KW - ( , ) k  q -fuzzy ideals KW - regular AG-groupoids DO - 10.22099/ijsts.2012.2061 N2 - 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. UR - https://ijsts.shirazu.ac.ir/article_2061.html L1 - https://ijsts.shirazu.ac.ir/article_2061_6d6ead6702968372d0d12cda3011300d.pdf ER -