Fuzzy Weighted Average: Analytical Solution

Pim van den Broek, Joost Noppen

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
35 Downloads (Pure)

Abstract

An algorithm is presented for the computation of analytical expressions for the extremal values of the α-cuts of the fuzzy weighted average, for triangular or trapeizoidal weights and attributes. Also, an algorithm for the computation of the inverses of these expressions is given, providing exact membership functions of the fuzzy weighted average. Up to now, only algorithms exist for the computation of the extremal values of the α-cuts for a fixed value of α. To illustrate the power of our algorithms, they are applied to several examples from the literature, providing exact membership functions in each case.
Original languageEnglish
Title of host publicationProceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009
Subtitle of host publicationFunchal, Madeira, Portugal, October 5-7, 2009
EditorsAntonio Dourado
Place of PublicationSetúbal
PublisherINSTICC
Pages31-38
Number of pages8
ISBN (Print)978-989-674-014-6
Publication statusPublished - 2009
EventInternational Joint Conference on Computational Intelligence, IJCCI 2009 - Madeira, Portugal
Duration: 5 Oct 20097 Oct 2009

Conference

ConferenceInternational Joint Conference on Computational Intelligence, IJCCI 2009
Abbreviated titleIJCCI
CountryPortugal
CityMadeira
Period5/10/097/10/09

Fingerprint

Membership functions

Keywords

  • METIS-264055
  • Fuzzy weighted average
  • SE-SC: Soft Computing applied to Software Engineering
  • EWI-16125
  • membership functions
  • IR-68140

Cite this

van den Broek, P., & Noppen, J. (2009). Fuzzy Weighted Average: Analytical Solution. In A. Dourado (Ed.), Proceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009: Funchal, Madeira, Portugal, October 5-7, 2009 (pp. 31-38). Setúbal: INSTICC.
van den Broek, Pim ; Noppen, Joost. / Fuzzy Weighted Average: Analytical Solution. Proceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009: Funchal, Madeira, Portugal, October 5-7, 2009. editor / Antonio Dourado. Setúbal : INSTICC, 2009. pp. 31-38
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van den Broek, P & Noppen, J 2009, Fuzzy Weighted Average: Analytical Solution. in A Dourado (ed.), Proceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009: Funchal, Madeira, Portugal, October 5-7, 2009. INSTICC, Setúbal, pp. 31-38, International Joint Conference on Computational Intelligence, IJCCI 2009, Madeira, Portugal, 5/10/09.

Fuzzy Weighted Average: Analytical Solution. / van den Broek, Pim; Noppen, Joost.

Proceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009: Funchal, Madeira, Portugal, October 5-7, 2009. ed. / Antonio Dourado. Setúbal : INSTICC, 2009. p. 31-38.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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van den Broek P, Noppen J. Fuzzy Weighted Average: Analytical Solution. In Dourado A, editor, Proceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009: Funchal, Madeira, Portugal, October 5-7, 2009. Setúbal: INSTICC. 2009. p. 31-38