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On k-\(\oplus \)-additive Aggregation Functions

  • Fateme Kouchakinejad
  • Anna Kolesárová
  • Radko Mesiar
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11144)

Abstract

To generalize the concept of k-maxitivity and k-additivity, we introduce k-\(\oplus \)-additive aggregation functions. We also characterize this kind of aggregation functions under some special conditions. Several examples are given to illustrate the new definitions.

Keywords

k-additivity k-maxitivity k-\(\oplus \)-additive aggregation function Pseudo-addition 

Notes

Acknowledgment

The work on this contribution was supported by the grants APVV-14-0013 and APVV-17-0066. Fateme Kouchakinejad kindly acknowledges the support from Iran National Science Foundation: INSF.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Fateme Kouchakinejad
    • 1
  • Anna Kolesárová
    • 2
  • Radko Mesiar
    • 3
  1. 1.Department of Statistics, Faculty of Mathematics and Computer ScienceShahid Bahonar University of KermanKermanIran
  2. 2.Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food TechnologySlovak University of TechnologyBratislavaSlovakia
  3. 3.Department of Mathematics and Descriptive Geometry, Faculty of Civil EngineeringSlovak University of TechnologyBratislavaSlovakia

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