• DocumentCode
    893154
  • Title

    Ranking type-2 fuzzy numbers

  • Author

    Mitchell, H.B.

  • Author_Institution
    ELTA Syst. Ltd, Ashdod
  • Volume
    14
  • Issue
    2
  • fYear
    2006
  • fDate
    4/1/2006 12:00:00 AM
  • Firstpage
    287
  • Lastpage
    294
  • Abstract
    Type-2 fuzzy sets are a generalization of the ordinary fuzzy sets in which each type-2 fuzzy set is characterized by a fuzzy membership function. In this paper, we consider the problem of ranking a set of type-2 fuzzy numbers. We adopt a statistical viewpoint and interpret each type-2 fuzzy number as an ensemble of ordinary fuzzy numbers. This enables us to define a type-2 fuzzy rank and a type-2 rank uncertainty for each intuitionistic fuzzy number. We show the reasonableness of the results obtained by examining several test cases
  • Keywords
    fuzzy set theory; fuzzy membership functions; fuzzy numbers; fuzzy sets; Fuzzy sets; Fuzzy systems; Gaussian distribution; Helium; Testing; Uncertainty; Fuzzy ranking; type-2 fuzzy numbers; type-2 fuzzy sets;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2005.864078
  • Filename
    1618519
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=893154