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Some results on the weak dominance relation between ordered weighted averaging operators and T-norms

Gang Li;  Zhenbo Li;  Jing Wang — 2024

Kybernetika

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...

Quasitriangular Hopf group algebras and braided monoidal categories

Shiyin Zhao;  Jing Wang;  Hui-Xiang Chen — 2014

Czechoslovak Mathematical Journal

Let π be a group, and H be a semi-Hopf π -algebra. We first show that the category H ℳ of left π -modules over H is a monoidal category with a suitably defined tensor product and each element α in π induces a strict monoidal functor F α from H ℳ to itself. Then we introduce the concept of quasitriangular semi-Hopf π -algebra, and show that a semi-Hopf π -algebra H is quasitriangular if and only if the category H ℳ is a braided monoidal category and F α is a strict braided monoidal functor for any α ∈ π . Finally,...

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