Fuzzy Weighted Average: Analytical Solution

Pim van den Broek, Joost Noppen

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

    3 Citations (Scopus)
    51 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

    Keywords

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

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  • 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.