• DocumentCode
    1449005
  • Title

    Type-2 Fuzzy Sets as Functions on Spaces

  • Author

    Aisbett, Janet ; Rickard, John T. ; Morgenthaler, David G.

  • Author_Institution
    Univ. of Newcastle, Callaghan, NSW, Australia
  • Volume
    18
  • Issue
    4
  • fYear
    2010
  • Firstpage
    841
  • Lastpage
    844
  • Abstract
    For many readers and potential authors, type-2 (T2) fuzzy sets might be more readily understood if expressed by the use of standard mathematical notation and terminology. This paper, therefore, translates constructs associated with T2 fuzzy sets to the language of functions on spaces. Such translations may encourage researchers in different disciplines to investigate T2 fuzzy sets, thereby potentially broadening their application and strengthening the underlying theory.
  • Keywords
    fuzzy set theory; mathematical notation; mathematical terminology; type-2 fuzzy set; Embedded type-1 (T1) fuzzy sets; interval-valued fuzzy sets; type-2 (T2) fuzzy sets;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2010.2046176
  • Filename
    5437268