Fuzzy interpolation with Cartesian representation and extensibility functions

Yeung Yam, L. Kóczy

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

1 Citation (Scopus)

Abstract

This paper summaries the application of the recently proposed Cartesian representation of membership functions to the problem of fuzzy interpolation. It is shown that under this formulation the problem can be according to whether the observation lies within or outside the antecedent spanning set. For the former, the observation contains the same geometric properties as the given antecedents, and interpolation can be conducted based on the given rules using the extensibility function concept. On the other hand, observation lying outside the antecedent spanning set contains new geometric properties beyond those of the given rules, and heuristic reasoning must therefore be applied. A two step approach with flexibility to accommodate additional criteria and design objectives is presented for this case.

Original languageEnglish
Title of host publicationAnnual Conference of the North American Fuzzy Information Processing Society - NAFIPS
EditorsM.H. Smith, W.A. Gruver, L.O. Hall
Pages2852-2857
Number of pages6
Volume5
Publication statusPublished - 2001
EventJoint 9th IFSA World Congress and 20th NAFIPS International Conference - Vancouver, BC, Canada
Duration: Jul 25 2001Jul 28 2001

Other

OtherJoint 9th IFSA World Congress and 20th NAFIPS International Conference
CountryCanada
CityVancouver, BC
Period7/25/017/28/01

Fingerprint

Interpolation
Membership functions

ASJC Scopus subject areas

  • Computer Science(all)
  • Media Technology

Cite this

Yam, Y., & Kóczy, L. (2001). Fuzzy interpolation with Cartesian representation and extensibility functions. In M. H. Smith, W. A. Gruver, & L. O. Hall (Eds.), Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS (Vol. 5, pp. 2852-2857)

Fuzzy interpolation with Cartesian representation and extensibility functions. / Yam, Yeung; Kóczy, L.

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. ed. / M.H. Smith; W.A. Gruver; L.O. Hall. Vol. 5 2001. p. 2852-2857.

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

Yam, Y & Kóczy, L 2001, Fuzzy interpolation with Cartesian representation and extensibility functions. in MH Smith, WA Gruver & LO Hall (eds), Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. vol. 5, pp. 2852-2857, Joint 9th IFSA World Congress and 20th NAFIPS International Conference, Vancouver, BC, Canada, 7/25/01.
Yam Y, Kóczy L. Fuzzy interpolation with Cartesian representation and extensibility functions. In Smith MH, Gruver WA, Hall LO, editors, Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. Vol. 5. 2001. p. 2852-2857
Yam, Yeung ; Kóczy, L. / Fuzzy interpolation with Cartesian representation and extensibility functions. Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. editor / M.H. Smith ; W.A. Gruver ; L.O. Hall. Vol. 5 2001. pp. 2852-2857
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