(2302-7899) Characterizations for the alpha-cross-migrativity of continuous t-conorms over generated implications

	(2302-7899) Characterizations for the alpha-cross-migrativity of continuous t-conorms over generated implications
Iranian Journal of Fuzzy Systems
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 شهریور 1402 اصل مقاله (397.45 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7838
نویسندگان
F. M. He؛ B. W. Fang^*
School of Science, Wuhan University of Technology, Wuhan 430070, PR China
چکیده
The α-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 α-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 α-cross-migrativity of continuous t-conorms over (f, g)-, k-, h- and (θ, t)-generated implications are obtained. Moreover, some supporting examples for solutions are given.
کلیدواژه‌ها
α-cross-migrative؛ continuous Archimedean T-norm؛ continuous T-conorm؛ generated implication

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