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The cross-migrativity equation with respect to semi-t-operators | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 18، شماره 1، فروردین و اردیبهشت 2021، صفحه 17-33 اصل مقاله (386.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.5869 | ||
| نویسندگان | ||
| Y. Y. Zhao* 1؛ F. Qin2 | ||
| 1School of Mathematics, Shandong University, 250100 Jinan, PR China | ||
| 2College of Mathematics and Information Science, Jiangxi Normal University, 330022 Nanchang, PR China | ||
| چکیده | ||
| The cross-migrativity has been investigated for families of certain aggregation operators, such as t-norms, t-subnorms and uninorms. In this paper, we aim to study the cross-migrativity property for semi-t-operators, which are generalizations of t-operators by omitting commutativity. Specifically, we give all solutions of the cross-migrativity equation for all possible combinations of semi-t-operators. Moreover, it is shown that if a semi-t-operator F is alpha-cross-migrative over another semi-t-operator G, then G must be a semi-nullnorm except one case. Finally, it is pointed out that the cross-migrativity property between two semi-t-operators is always determined by their underlying operators except a few cases. | ||
| کلیدواژهها | ||
| Fuzzy connectives؛ cross-migrativity؛ semi-t-operators؛ semi-nullnorms | ||
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آمار تعداد مشاهده مقاله: 567 تعداد دریافت فایل اصل مقاله: 525 |
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