• DocumentCode
    2619710
  • Title

    Total extension of set functions and relations

  • Author

    Wierman, Mark J.

  • Author_Institution
    Creighton Univ., Omaha, NE, USA
  • fYear
    1997
  • fDate
    21-24 Sep 1997
  • Firstpage
    292
  • Lastpage
    294
  • Abstract
    Zadeh´s (1965) extension principle is applicable to functions defined upon elements of a set. It can be generalized to relations. Any crisp relation can be extended to a function on sets using crisp set theory. Two canonical methods for extending relations upon sets are presented. Equivalence between different extensions is studied. So are cutworthy and strong cutworthy extensions
  • Keywords
    functions; fuzzy set theory; crisp set theory; cutworthy relations; extension principle; fuzzy relations; fuzzy set theory; set functions; set relations; strong cutworthy; Argon; Fuzzy sets; Set theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Information Processing Society, 1997. NAFIPS '97., 1997 Annual Meeting of the North American
  • Conference_Location
    Syracuse, NY
  • Print_ISBN
    0-7803-4078-7
  • Type

    conf

  • DOI
    10.1109/NAFIPS.1997.624054
  • Filename
    624054
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2619710