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Flipping of multivariate aggregation functions
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DOI：10.1016/j.fss.2013.12.003.png)
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We consider flipping transformations of multivariate aggregation functions and we investigate the closure of these transformations with respect to the class of aggregation functions with annihilator element equal to 0. Moreover, the consecutive application of flipping transformations is also discussed. The results present interesting connections both with quasi-copulas and with suitable modifications of the n-increasing property of a multivariate probability distribution function. (C) 2013 Elsevier B.V. All rights reserved.
Keyword:
Aggregation functions
Copulas
Information fusion
Quasi-copulas
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