• DocumentCode
    1822270
  • Title

    Convexity of fuzzy sets from the viewpoint of fuzzy logic

  • Author

    Pan, X.D. ; Meng, D. ; Xu, Y.

  • Author_Institution
    Sch. of Math., Southwest Jiaotong Univ., Chengdu, China
  • fYear
    2010
  • fDate
    7-10 Dec. 2010
  • Firstpage
    2523
  • Lastpage
    2526
  • Abstract
    In order to investigate the graded properties of convex fuzzy sets, from the viewpoint of fuzzy logic, in this paper, we introduce the notions of (λ,T)-convex fuzzy set, (λ,T)-strong convex fuzzy set, (λ,T)-strictly convex fuzzy set based on t-norm based fuzzy logic. The relations among these convex fuzzy sets is characterized.
  • Keywords
    fuzzy logic; fuzzy set theory; convex fuzzy set; strictly convex fuzzy set; strong convex fuzzy set; t-norm based fuzzy logic; Chaos; Fractals; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Semantics; Solitons; Convex fuzzy set; fuzzy logic; implication operation; triangular norm;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Industrial Engineering and Engineering Management (IEEM), 2010 IEEE International Conference on
  • Conference_Location
    Macao
  • ISSN
    2157-3611
  • Print_ISBN
    978-1-4244-8501-7
  • Electronic_ISBN
    2157-3611
  • Type

    conf

  • DOI
    10.1109/IEEM.2010.5674248
  • Filename
    5674248