Continuous generated associative aggregation operators

doi:10.1016/S0165-0114(01)00025-2

Fuzzy Sets and Systems

Volume 126, Issue 2, 1 March 2002, Pages 191-197

https://doi.org/10.1016/S0165-0114(01)00025-2 Get rights and content

Abstract

Continuous generated associative aggregation operators are discussed. The only asymmetric solutions are the trivial operators of the projection to the first or the last coordinate, respectively. The only nontrivial convenient aggregation operators are necessarily symmetric and they are either continuous Archimedean t-norms and t-conorms, or generated nullnorms. The latter may combine any nilpotent $t$ -conorm and any t-norm with any prescribed annihilator $k∈]0,1[$ .

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Continuous generated associative aggregation operators

Abstract

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Inform. Sci.

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Lectures on functional equations and their applications

An extension of Fung-Fu's theorem

Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems

Aggregation functions defined by t-norms and t-conorms

Fuzzy Preference Modelling and Multicriteria Decision Support

Structure of uninorms

Internat. J. Uncertainty, Fuzziness and Knowledge-Based Systems

Aggregation functions defined by $t$ -norms and $t$ -conorms