Construction of Capacities from Overlap Indexes

  • José Antonio Sanz
  • Mikel Galar
  • Radko Mesiar
  • Anna Kolesárová
  • Humberto Bustince
  • Javier Fernandez
  • Javier Montero
Part of the Studies in Computational Intelligence book series (SCI, volume 671)


In this chapter, we show how the concepts of overlap function and overlap index can be used to define fuzzy measures which depend on the specific data of each considered problem.


Overlap function Capacity Fuzzy measure 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • José Antonio Sanz
    • 1
  • Mikel Galar
    • 1
  • Radko Mesiar
    • 2
    • 3
  • Anna Kolesárová
    • 4
  • Humberto Bustince
    • 1
  • Javier Fernandez
    • 1
  • Javier Montero
    • 5
  1. 1.Departamento of Automática y Computación and the Institute of Smart CitiesUniversidad Publica de NavarraNavarraSpain
  2. 2.Slovak University of TechnologyBratislavaSlovakia
  3. 3.Institute of Information Theory and AutomationAcademy of Sciences of the Czech RepublicPragueCzech Republic
  4. 4.Institute of Information Engineering, Automation and MathematicsSlovak University of TechnologyBratislavaSlovakia
  5. 5.Department of Statistics and Operations Research I, Faculty of MathematicsUniversidad Complutense de MadridMadridSpain

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