Study on optimum design using fuzzy numbers as design variables

Masao Arakawa, Hiroshi Yamakawa

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

    5 Citations (Scopus)

    Abstract

    In this study, we summarize the method of fuzzy optimization using fuzzy numbers as design variables. In order to detect flaw in fuzzy calculation, we use LR-fuzzy numbers, which is known as its simplicity in calculation. We also use simple fuzzy numbers operations, which was proposed in the previous papers. The proposed method has unique characteristics that we can obtain fuzzy sets in design variables (results of the design) directly from single numerical optimizing process. Which takes a large number of numerical optimizing processes when we try to obtain similar results in the conventional methods. In the numerical examples, we compare the proposed method with several other methods taking imprecision in design parameters into account, and demonstrate the effectiveness of the proposed method.

    Original languageEnglish
    Title of host publicationAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
    Pages463-469
    Number of pages7
    Volume82
    Edition1
    Publication statusPublished - 1995
    EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
    Duration: 1995 Sep 171995 Sep 20

    Other

    OtherProceedings of the 1995 ASME Design Engineering Technical Conference
    CityBoston, MA, USA
    Period95/9/1795/9/20

    Fingerprint

    Fuzzy sets
    Defects
    Optimum design

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    Arakawa, M., & Yamakawa, H. (1995). Study on optimum design using fuzzy numbers as design variables. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE (1 ed., Vol. 82, pp. 463-469)

    Study on optimum design using fuzzy numbers as design variables. / Arakawa, Masao; Yamakawa, Hiroshi.

    American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 82 1. ed. 1995. p. 463-469.

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

    Arakawa, M & Yamakawa, H 1995, Study on optimum design using fuzzy numbers as design variables. in American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1 edn, vol. 82, pp. 463-469, Proceedings of the 1995 ASME Design Engineering Technical Conference, Boston, MA, USA, 95/9/17.
    Arakawa M, Yamakawa H. Study on optimum design using fuzzy numbers as design variables. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1 ed. Vol. 82. 1995. p. 463-469
    Arakawa, Masao ; Yamakawa, Hiroshi. / Study on optimum design using fuzzy numbers as design variables. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 82 1. ed. 1995. pp. 463-469
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