The balancing Choquet integral

Authors:
A. Mesiarová-Zemánková;R. Mesiar;K. Ahmad
Affiliations:
Department of Computer Science, Trinity College, Dublin, Ireland and Mathematical Institute of SAS, Bratislava, Slovakia;Slovak University of Technology, Bratislava, Slovakia and Institute for Research and Application of Fuzzy Modelling, University of Ostrava, Czech Republic;Department of Computer Science, Trinity College, Dublin, Ireland
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

In this paper a new extension of Choquet integral to real inputs is introduced. While the symmetric and the asymmetric Choquet integrals aggregate positive and negative inputs separately, the balancing Choquet integral merges both positive and negative inputs and thus allows the compensation effect for oppositely oriented inputs with the same magnitude.