Decomposition Integral Based Generalizations of OWA Operators View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2016

AUTHORS

Radko Mesiar , Andrea Stupňanová

ABSTRACT

Based on the representation of OWA operators as Choquet integrals with respect to symmetric capacities, a new kind of OWA generalizations based on decomposition integrals is proposed and discussed. The symmetry of the underlying capacity is not sufficient to guarantee the symmetry of the resulting operator, and thus we deal with symmetric saturated decomposition systems only. All possible generalized OWA operators on \(X = \{1,2\}\) are introduced. Similarly, when considering the maximal decomposition system on \(X = \{1,2,3\},\) all generalized OWA operators are shown, based on the ordinal structure of the normed weighting vector \({\mathbf w} = (w_1,w_2,w_3).\) More... »

PAGES

3-10

References to SciGraph publications

  • 2009-04. A new integral for capacities in ECONOMIC THEORY
  • 2004-03. Generalized OWA Aggregation Operators in FUZZY OPTIMIZATION AND DECISION MAKING
  • 2014-05. Decomposition-integral: unifying Choquet and the concave integrals in ECONOMIC THEORY
  • Book

    TITLE

    Information Processing and Management of Uncertainty in Knowledge-Based Systems

    ISBN

    978-3-319-40595-7
    978-3-319-40596-4

    From Grant

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-40596-4_1

    DOI

    http://dx.doi.org/10.1007/978-3-319-40596-4_1

    DIMENSIONS

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