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Characterization of k-Choquet Integrals

  • L’ubomíra Horanská
  • Zdenko Takáč
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11144)

Abstract

In the present paper we characterize the class of all n-ary k-Choquet integrals and we find a minimal subset of points in the unit hypercube, the values on which fully determine the k-Choquet integral.

Keywords

Aggregation function Choquet integral k-additivity Multicriteria decision making Comonotone additivity 

Notes

Acknowledgement

The authors gratefully acknowledge support of the project VEGA 1/0614/18.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food TechnologySlovak University of Technology in BratislavaBratislavaSlovak Republic

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