• DocumentCode
    2823573
  • Title

    Countable Nested Sets and Fuzzy Series

  • Author

    Zeng, Wenyi

  • Author_Institution
    Coll. of Inf. Sci. & Technol., Beijing Normal Univ., Beijing, China
  • fYear
    2009
  • fDate
    19-20 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    Fuzzy set theory becomes more popular in recent years duo to its simplicity in modeling and effectiveness in control problems. In this paper, we introduce the concepts of countable dense subset of (0, 1) and countable nested sets. Based on the countable nested sets, we propose countable decomposition theorem and countable representation theorem for fuzzy set and use them to investigate fuzzy series and its convergence.
  • Keywords
    fuzzy set theory; countable dense subset; countable nested sets; fuzzy set theory; Convergence; Decision making; Educational institutions; Engineering profession; Fuzzy control; Fuzzy set theory; Fuzzy sets; Information science; Set theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-4994-1
  • Type

    conf

  • DOI
    10.1109/ICIECS.2009.5363724
  • Filename
    5363724
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2823573