On the Characterization of Sels-dual Aggregation Operators

Two difierent characterizations of self-dual aggregation operators are available in the literature: one based on C(x;y) = x=(x + 1 i y) and one based on the arithmetic mean. In this contribution, we flt the existing approaches into a more general framework and characterize N-invariant aggregation operators, with N an involutive negator. Special attention is drawn to the equivalence classes that arise during the construction process.

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