• DocumentCode
    477701
  • Title

    On the Continuity of Equilibrium Chance Functions

  • Author

    Hao, Fang-Fang ; Liu, Yan-Kui

  • Author_Institution
    Coll. of Math. & Comput. Sci., Hebei Univ., Baoding
  • Volume
    1
  • fYear
    2008
  • fDate
    18-20 Oct. 2008
  • Firstpage
    367
  • Lastpage
    371
  • Abstract
    This paper attempts to discuss some analytical properties of the equilibrium chance functions of fuzzy random variables. Based on the continuity of the credibility functions, we deduce several sufficient conditions for the right continuity, left continuity and continuity of the equilibrium chance functions. The obtained results can be applied to fuzzy random optimization problems as we design algorithms to compute fuzzy random programming with equilibrium chance constraints.
  • Keywords
    fuzzy set theory; game theory; optimisation; credibility functions; design algorithm; equilibrium chance constraints; equilibrium chance functions; fuzzy random optimization; fuzzy random programming; fuzzy random variables; left continuity; right continuity; sufficient conditions; Algorithm design and analysis; Chromium; Decision making; Educational institutions; Fuzzy sets; Fuzzy systems; Mathematics; Probability distribution; Random variables; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
  • Conference_Location
    Shandong
  • Print_ISBN
    978-0-7695-3305-6
  • Type

    conf

  • DOI
    10.1109/FSKD.2008.115
  • Filename
    4666001