• DocumentCode
    3849011
  • Title

    The Ordered Modular Averages

  • Author

    Radko Mesiar;Andrea Mesiarova-Zem?nkov?

  • Author_Institution
    Institute for Research and Application of Fuzzy Modelling, University of Ostrava, Ostrava, Czech Republic
  • Volume
    19
  • Issue
    1
  • fYear
    2011
  • Firstpage
    42
  • Lastpage
    50
  • Abstract
    Ordered modular averages (OMAs) generalize ordered weighted averages operators, with the replacement of the additivity property by the modularity. OMAs can be seen as a symmetrized idempotent modular aggregation functions, characterized by comonotone modularity. Each OMA can be seen also as a copula-based integral with respect to a symmetric capacity. Special OMAs are characterized, such as associative operators, operators with neutral element, or operators with an annihilator. Some construction methods for OMAs are also discussed.
  • Keywords
    "Open wireless architecture","Additives","Kernel","Chebyshev approximation","Construction industry","Mathematical model","Stochastic processes"
  • Journal_Title
    IEEE Transactions on Fuzzy Systems
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2010.2077641
  • Filename
    5580045
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3849011