• DocumentCode
    2331019
  • Title

    The conversion formula between sigma-entropy and sigma-similarity measure of fuzzy sets

  • Author

    Tong, Xiao-jun ; Zhang, She-Min ; Li, Zhi-Jun ; Xu, Xiao-Zeng

  • Author_Institution
    Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
  • Volume
    5
  • fYear
    2005
  • fDate
    18-21 Aug. 2005
  • Firstpage
    2671
  • Abstract
    Liu has gotten the conversion formula between σ-entropy and σ-similarity measure of fuzzy sets. But this formula is so correlative with the fuzziest set that the proof of the conversion formula is special complicated. We renewedly prove that the function defined by the conversion formula is a similarity measure of fuzzy sets depending on the simplified conversion formula. Our proof is completely divorced from Liu´s original eight fuzzy sets, which was constructed from fuzziest sets. And a laconic proof of mutual conversion formula is given.
  • Keywords
    entropy; fuzzy set theory; theorem proving; fuzzy set; laconic proof; mutual conversion formula; sigma-entropy measure; sigma-similarity measure; similarity measure; Cybernetics; Entropy; Finance; Forward contracts; Fuzzy sets; Machine learning; Mathematics; Pattern recognition; Physics; σ-entropy; σ-similarity measure; Fuzzy set;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
  • Conference_Location
    Guangzhou, China
  • Print_ISBN
    0-7803-9091-1
  • Type

    conf

  • DOI
    10.1109/ICMLC.2005.1527396
  • Filename
    1527396
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2331019