• DocumentCode
    2311816
  • Title

    Interval-valued contractive fuzzy negations

  • Author

    Bedregal, Benjamin ; Bustince, Humberto ; Fernandez, Javier ; Deschrijver, Glad ; Mesiar, Radko

  • Author_Institution
    Dept. de Inf. e Mat. Aplic., Univ. Fed. do Rio Grande do Norte, Rio Grande, Brazil
  • fYear
    2010
  • fDate
    18-23 July 2010
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the only strict (strong) contractive interval-valued fuzzy negation is the one generated from the standard (Zadeh´s) negation.
  • Keywords
    fuzzy set theory; Lipschitz function; interval-valued contractive fuzzy negations; standard Zadeh negation; Electronic mail; Fuzzy set theory; Fuzzy sets; Input variables; Length measurement; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
  • Conference_Location
    Barcelona
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-6919-2
  • Type

    conf

  • DOI
    10.1109/FUZZY.2010.5584635
  • Filename
    5584635
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2311816