• DocumentCode
    3600867
  • Title

    On the Maximum Entropy Negation of a Probability Distribution

  • Author

    Yager, Ronald R.

  • Author_Institution
    Machine Intell. Inst., Iona Coll., New Rochelle, NY, USA
  • Volume
    23
  • Issue
    5
  • fYear
    2015
  • Firstpage
    1899
  • Lastpage
    1902
  • Abstract
    We suggest a transformation to obtain the negation of a probability distribution. We investigate the properties of this negation. Using the Dempster-Shafer theory of evidence, we show of all the possible negations our proposed negation is one having a maximal type entropy.
  • Keywords
    fuzzy set theory; inference mechanisms; maximum entropy methods; statistical distributions; Dempster-Shafer theory of evidence; maximum entropy negation; negation properties; nonstandard fuzzy set; probability distribution; Bayes methods; Bismuth; Difference equations; Entropy; Finite element analysis; Probability distribution; Resource management; Aggregation; Decision- Making; Membership Grade; Non-standard Fuzzy Set; decision-making; membership grade; nonstandard fuzzy set;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2014.2374211
  • Filename
    6965605