Kybernetika 51 no. 4, 699-711, 2015

On almost equitable uninorms

Gang Li, Hua-Wen Liu and János FodorDOI: 10.14736/kyb-2015-4-0699

Abstract:

Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.

Keywords:

uninorm, aggregation functions, representable uninorm, negation, contradictory information

Classification:

06F05, 03E72, 03B52

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