• DocumentCode
    358651
  • Title

    A set of time dependent fuzzy membership functions and its compactness

  • Author

    Endou, Noboru ; Wasaki, Katsumi ; Ohkubo, Keiji ; Kawamoto, Pauline ; Shidama, Yasunari

  • Author_Institution
    Fac. of Eng., Shinshu Univ., Nagano, Japan
  • Volume
    4
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2468
  • Abstract
    By regarding the set of fuzzy membership functions as a subset of the set of functions which depend on time, we show compactness in weak topology. We prove also that the function which composes the control of the function given by the center of gravity calculation is continuous for the topology of pointwise convergence. As an application, we discuss the existence of an optimal solution in fuzzy control for an open-loop system
  • Keywords
    convergence; fuzzy control; fuzzy set theory; linear systems; optimal control; topology; center of gravity calculation; compactness; open-loop system; pointwise convergence; time dependent fuzzy membership functions; weak topology; Automatic control; Fuzzy control; Fuzzy sets; Fuzzy systems; Gravity; Mathematical model; Open loop systems; Optimal control; Topology; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2000. Proceedings of the 2000
  • Conference_Location
    Chicago, IL
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-5519-9
  • Type

    conf

  • DOI
    10.1109/ACC.2000.878625
  • Filename
    878625
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=358651