Geodesic
Some results on the weak dominance relation between ordered weighted averaging operators and T-norms
Kybernetika, Tome 60 (2024) no. 3, pp. 379-393 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Aggregation operators have the important application in any fields where the fusion of information is processed. The dominance relation between two aggregation operators is linked to the fusion of fuzzy relations, indistinguishability operators and so on. In this paper, we deal with the weak dominance relation between two aggregation operators which is closely related with the dominance relation. Weak domination of isomorphic aggregation operators and ordinal sum of conjunctors is presented. More attention is paid to the weak dominance relation between ordered weighted averaging operators and Łukasiewicz t-norm. Furthermore, the relationships between weak dominance and some functional inequalities of aggregation operators are discussed.
Aggregation operators have the important application in any fields where the fusion of information is processed. The dominance relation between two aggregation operators is linked to the fusion of fuzzy relations, indistinguishability operators and so on. In this paper, we deal with the weak dominance relation between two aggregation operators which is closely related with the dominance relation. Weak domination of isomorphic aggregation operators and ordinal sum of conjunctors is presented. More attention is paid to the weak dominance relation between ordered weighted averaging operators and Łukasiewicz t-norm. Furthermore, the relationships between weak dominance and some functional inequalities of aggregation operators are discussed.
DOI : 10.14736/kyb-2024-3-0379
Classification : 03B52, 03E72, 06F05
Keywords: domination; OWA operators; ordinal sum; t-norm 
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Li, Gang; Li, Zhenbo; Wang, Jing. Some results on the weak dominance relation between ordered weighted averaging operators and T-norms. Kybernetika, Tome 60 (2024) no. 3, pp. 379-393. doi: 10.14736/kyb-2024-3-0379

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