• DocumentCode
    2904685
  • Title

    Fitting fuzzy measures by linear programming. Programming library fmtools

  • Author

    Beliakov, Gleb

  • Author_Institution
    Sch. of Eng. & Inf. Technol., Deakin Univ., Melbourne, VIC
  • fYear
    2008
  • fDate
    1-6 June 2008
  • Firstpage
    862
  • Lastpage
    867
  • Abstract
    We discuss the problem of learning fuzzy measures from empirical data. Values of the discrete Choquet integral are fitted to the data in the least absolute deviation sense. This problem is solved by linear programming techniques. We consider the cases when the data are given on the numerical and interval scales. An open source programming library which facilitates calculations involving fuzzy measures and their learning from data is presented.
  • Keywords
    data analysis; fuzzy systems; learning (artificial intelligence); linear programming; discrete Choquet integral; least absolute deviation sense; linear programming; open source programming library; programming library fmtools; Decision making; Expert systems; Fitting; Fuzzy logic; Impedance matching; Least squares methods; Libraries; Linear programming; Open wireless architecture; Quadratic programming;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
  • Conference_Location
    Hong Kong
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-1818-3
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2008.4630471
  • Filename
    4630471