Symmetrization of modular aggregation functions

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Abstract

Ordered modular aggregation functions (OMAF in short) can be seen as symmetrized modular aggregation functions and they are characterized by comonotone modularity. As such, OMAFs generalize OWA operators. We show a one-to-one correspondence between idempotent OMAFs and copula-based integrals with respect to a symmetric capacity. © 2010 Springer-Verlag Berlin Heidelberg.

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Mesiar, R., & Mesiarová-Zemánková, A. (2010). Symmetrization of modular aggregation functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6178 LNAI, pp. 390–397). https://doi.org/10.1007/978-3-642-14049-5_40

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