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Continuous generated associative aggregation operators
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DOI：10.1016/S0165-0114(01)00025-2.png)
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Abstract
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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 is an element of]0, 1[. (C) 2002 Elsevier Science B.V. All rights reserved.
Keywords:
Additive generator
Aggregation operator
Nullnorm
t-conorm
t-norm
Aggregation operator
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