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The weak dominance between t-norms and t-conorms revisited.
- Source :
-
Fuzzy Sets & Systems . Jul2024, Vol. 487, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- The weak dominance relation between two binary operations was introduced as an extension of the dominance relation and the modularity equation. This paper continues the study of the weak dominance between t-norms and t-conorms. First, we present the characterization of the weak dominance of a nilpotent t-norm over a continuous Archimedean t-norm. Second, we establish the generalized sufficient and necessary conditions for the weak dominance of continuous t-norms over continuous t-norms. Finally, we obtain a generalized characterization of a continuous t-conorm weakly dominating a continuous t-norm by showing that S M weakly dominates any t-norm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SOCIAL dominance
*TRIANGULAR norms
*BINARY operations
Subjects
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 487
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 177353373
- Full Text :
- https://doi.org/10.1016/j.fss.2024.108988