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Characterizations for the alpha-cross-migrativity of continuous t-conorms over generated implications | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 21، شماره 1، فروردین و اردیبهشت 2024، صفحه 65-82 اصل مقاله (652.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.44829.7899 | ||
| نویسندگان | ||
| Fu Mei He؛ Bo Wen Fang* | ||
| School of Science, Wuhan University of Technology, Wuhan 430070, PR China | ||
| چکیده | ||
| The alpha-cross-migrativity can be regarded as weaker form of the commuting equation. It has been extensively investigated between some aggregation functions including t-norms, overlap functions, uninorms, and semi-t-operators. Recently, Fang [10] has proposed the alpha-cross-migrativity of t-conorms over fuzzy implications. This paper continues to consider this research topic and mainly focuses on the fuzzy implications generated by additive (resp. multiplicative) generators of continuous Archimedean t-norms and t-conorms. Full characterizations for the alpha-cross migrativity of continuous t-conorms over $(f,g)$-, $k$-, $h$- and $(\theta,t)$-generated implications are obtained. Moreover, some supporting examples for solutions are given. | ||
| کلیدواژهها | ||
| $\alpha$-cross-migrative؛ continuous Archimedean T-norm؛ continuous T-conorm؛ Generated implication | ||
| مراجع | ||
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