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Decomposition Integral Based Generalizations of OWA Operators

  • Radko Mesiar
  • Andrea StupňanováEmail author
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 610)

Abstract

Based on the representation of OWA operators as Choquet integrals with respect to symmetric capacities, a new kind of OWA generalizations based on decomposition integrals is proposed and discussed. The symmetry of the underlying capacity is not sufficient to guarantee the symmetry of the resulting operator, and thus we deal with symmetric saturated decomposition systems only. All possible generalized OWA operators on \(X = \{1,2\}\) are introduced. Similarly, when considering the maximal decomposition system on \(X = \{1,2,3\},\) all generalized OWA operators are shown, based on the ordinal structure of the normed weighting vector \({\mathbf w} = (w_1,w_2,w_3).\)

Keywords

Choquet integral Decomposition integral OWA operator Pan-integral Symmetric capacity 

Notes

Acknowledgments

The support of the grants APVV-14-0013 and VEGA 1/0682/16 is kindly announced.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Civil EngineeringSlovak University of TechnologyBratislavaSlovak Republic

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