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- Title
Characterizations for the alpha-cross-migrativity of continuous t-conorms over generated implications.
- Authors
He, F. M.; Fang, B. W.
- Abstract
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.
- Subjects
TRIANGULAR norms; EQUATIONS
- Publication
Iranian Journal of Fuzzy Systems, 2024, Vol 21, Issue 1, p65
- ISSN
1735-0654
- Publication type
Article
- DOI
10.22111/IJFS.2023.44829.7899