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• W2080644966 abstract "Aggregation processes are fundamental in any discipline where the fusion of information is of vital interest. For aggregating binary fuzzy relations such as equivalence relations or fuzzy orderings, the question arises which aggregation operators preserve specific properties of the underlying relations, e.g. T-transitivity. It will be shown that preservation of T-transitivity is closely related to the domination of the applied aggregation operator over the corresponding t-norm T. Furthermore, basic properties for dominating aggregation operators, not only in the case of dominating some t-norm T, but dominating some arbitrary aggregation operator, will be presented. Domination of isomorphic t-norms and ordinal sums of t-norms will be treated. Special attention is paid to the four basic t-norms (minimum t-norm, product t-norm, Łukasiewicz t-norm, and the drastic product)." @default.
• W2080644966 created "2016-06-24" @default.
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• W2080644966 date "2002-12-01" @default.
• W2080644966 modified "2023-10-18" @default.
• W2080644966 title "DOMINATION OF AGGREGATION OPERATORS AND PRESERVATION OF TRANSITIVITY" @default.
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• W2080644966 doi "https://doi.org/10.1142/s0218488502001806" @default.
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