Construction of Capacities from Overlap Indexes

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 



The work has been supported by projects TIN2013-40765-P and TIN2015-66471-P of the Spanish Ministry of Science, by grant VEGA 1/0420/15 and by grant VEGA 1/0419/13.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  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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