Integrals Based on Monotone Measure: Optimization Tools and Special Functionals View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2015

AUTHORS

Radko Mesiar

ABSTRACT

Integrals on finite spaces (e.g., sets of criteria in multicriteria decision support) based on capacities are discussed, axiomatized and examplified. We introduce first the universal integrals, covering the Choquet, Shilkret and Sugeno integrals. Based on optimization approach, we discuss decomposition and superdecomposition integrals. We introduce integrals which are universal and decomposition (superdecomposition) ones and integrals constructed by means of copulas. Several distinguished integrals are represented as particular functionals. Finally, we recall also OWA operators and some their generalizations. More... »

PAGES

48-57

References to SciGraph publications

  • 2014-09. Universal integrals based on copulas in FUZZY OPTIMIZATION AND DECISION MAKING
  • 2009-04. A new integral for capacities in ECONOMIC THEORY
  • 2014-05. Decomposition-integral: unifying Choquet and the concave integrals in ECONOMIC THEORY
  • Book

    TITLE

    Computer Information Systems and Industrial Management

    ISBN

    978-3-319-24368-9
    978-3-319-24369-6

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-24369-6_4

    DOI

    http://dx.doi.org/10.1007/978-3-319-24369-6_4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1052213499


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