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Regular AG-groupoids characterized by ( , ) k q -fuzzy ideals | ||
| Iranian Journal of Science | ||
| مقاله 1، دوره 36، شماره 2، مرداد 2012، صفحه 97-113 اصل مقاله (206 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2012.2061 | ||
| نویسندگان | ||
| A. Khan* 1؛ N. H. Sarmin2؛ F. M. Khan2؛ B. Davvaz3 | ||
| 1Department of Mathematics, COMSATS Institute of Information Technology Khyber Pukhtoon Khwa, Abbottabad, Pakistan | ||
| 2Department of Mathematics, Faculty of Science, University of Technology, Malaysia 81310 UTM Johor Bahru, Johor, Malaysia | ||
| 3Department of Mathematics, Yazd University Yazd, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fuzzy ideals؛ ( , ) k q -fuzzy ideals؛ ( , ) k q -fuzzy ideals؛ regular AG-groupoids | ||
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