Construction of an appropriate membership function based on size of fuzzy set and mathematical programming

Takashi Hasuike, Hideki Katagiri

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

    2 Citations (Scopus)

    Abstract

    This paper proposes an extended approach to construct an appropriate membership function as objectively as possible. It is important to set an appropriate membership function to obtain a reasonable optimal solution for real-world decision making. The main academic contribution of our proposed approach is to integrate a general continuous and nonlinear function minimizing the subjectivity into an interval estimation by a heuristic method under a given probability density function based on real-world data. Our approach is an extend approach of Civanlar and Trussell's study. One of two main steps of our proposed approach is to set membership values which a decision maker confidently judges whether an element is included in the given set or not. Another is to obtain other values objectively by solving Civanlar and Trussell's mathematical programming problem with a nonlinear membership function. In this paper, the given membership function is approximately transformed into a piecewise linear membership function, and the appropriate values of parameters in the piecewise linear membership function are determined.

    Original languageEnglish
    Title of host publicationIMECS 2016 - International Multiconference of Engineers and Computer Scientists 2016
    PublisherNewswood Limited
    Pages862-866
    Number of pages5
    Volume2
    ISBN (Electronic)9789881404763
    Publication statusPublished - 2016
    EventInternational Multiconference of Engineers and Computer Scientists 2016, IMECS 2016 - Tsimshatsui, Kowloon, Hong Kong
    Duration: 2016 Mar 162016 Mar 18

    Other

    OtherInternational Multiconference of Engineers and Computer Scientists 2016, IMECS 2016
    CountryHong Kong
    CityTsimshatsui, Kowloon
    Period16/3/1616/3/18

    Fingerprint

    Mathematical programming
    Membership functions
    Fuzzy sets
    Heuristic methods
    Probability density function
    Decision making

    Keywords

    • Interactive approach
    • Mathematical programming
    • Membership function
    • Piecewise linear function

    ASJC Scopus subject areas

    • Computer Science (miscellaneous)

    Cite this

    Hasuike, T., & Katagiri, H. (2016). Construction of an appropriate membership function based on size of fuzzy set and mathematical programming. In IMECS 2016 - International Multiconference of Engineers and Computer Scientists 2016 (Vol. 2, pp. 862-866). Newswood Limited.

    Construction of an appropriate membership function based on size of fuzzy set and mathematical programming. / Hasuike, Takashi; Katagiri, Hideki.

    IMECS 2016 - International Multiconference of Engineers and Computer Scientists 2016. Vol. 2 Newswood Limited, 2016. p. 862-866.

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

    Hasuike, T & Katagiri, H 2016, Construction of an appropriate membership function based on size of fuzzy set and mathematical programming. in IMECS 2016 - International Multiconference of Engineers and Computer Scientists 2016. vol. 2, Newswood Limited, pp. 862-866, International Multiconference of Engineers and Computer Scientists 2016, IMECS 2016, Tsimshatsui, Kowloon, Hong Kong, 16/3/16.
    Hasuike T, Katagiri H. Construction of an appropriate membership function based on size of fuzzy set and mathematical programming. In IMECS 2016 - International Multiconference of Engineers and Computer Scientists 2016. Vol. 2. Newswood Limited. 2016. p. 862-866
    Hasuike, Takashi ; Katagiri, Hideki. / Construction of an appropriate membership function based on size of fuzzy set and mathematical programming. IMECS 2016 - International Multiconference of Engineers and Computer Scientists 2016. Vol. 2 Newswood Limited, 2016. pp. 862-866
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