Representing membership functions as elements in function space

M. L. Wong, Y. Yam, P. Baranyi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This paper generalizes the geometric representation previously introduced for membership function comprising of finite number of characteristic points. An extended class of membership functions satisfying certain monotonicity conditions can now be expressed as elements in the space of square, integrable function. Specifically, bell-shaped membership functions, which was not possible before, can now be accommodated with this generalized representation. An example interpolation problem is treated using both the finite dimensional approach and generalized approach is included for illustration.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Pages1922-1927
Number of pages6
Volume3
Publication statusPublished - 2001
Event2001 American Control Conference - Arlington, VA, United States
Duration: Jun 25 2001Jun 27 2001

Other

Other2001 American Control Conference
CountryUnited States
CityArlington, VA
Period6/25/016/27/01

Fingerprint

Membership functions
Interpolation

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Wong, M. L., Yam, Y., & Baranyi, P. (2001). Representing membership functions as elements in function space. In Proceedings of the American Control Conference (Vol. 3, pp. 1922-1927)

Representing membership functions as elements in function space. / Wong, M. L.; Yam, Y.; Baranyi, P.

Proceedings of the American Control Conference. Vol. 3 2001. p. 1922-1927.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wong, ML, Yam, Y & Baranyi, P 2001, Representing membership functions as elements in function space. in Proceedings of the American Control Conference. vol. 3, pp. 1922-1927, 2001 American Control Conference, Arlington, VA, United States, 6/25/01.
Wong ML, Yam Y, Baranyi P. Representing membership functions as elements in function space. In Proceedings of the American Control Conference. Vol. 3. 2001. p. 1922-1927
Wong, M. L. ; Yam, Y. ; Baranyi, P. / Representing membership functions as elements in function space. Proceedings of the American Control Conference. Vol. 3 2001. pp. 1922-1927
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