• DocumentCode
    507241
  • Title

    On the Completions of Fuzzy Number Space with Respect to Sendograph Metric

  • Author

    Fan, Taihe ; Fan, Lihong

  • Author_Institution
    Dept. of Math., Zhejiang Sci-Tech Univ., Hangzhou, China
  • Volume
    6
  • fYear
    2009
  • fDate
    14-16 Aug. 2009
  • Firstpage
    353
  • Lastpage
    357
  • Abstract
    The sendograph metric on the space of fuzzy numbers is known to be separable, but not complete. This paper deals with the completion of the sendograph metric. The completion of fuzzy number space with respect to the sendograph metric is constructed. Also, a uniformly equivalent description of the sendograph metric is given which reveals the internal relation between the sendograph and endograph metrics.
  • Keywords
    fuzzy set theory; endograph metrics; fuzzy number space; sendograph metric; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Level set; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
  • Conference_Location
    Tianjin
  • Print_ISBN
    978-0-7695-3735-1
  • Type

    conf

  • DOI
    10.1109/FSKD.2009.358
  • Filename
    5359866
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=507241