A Subjective and Objective Constructing Approach for Reasonable Membership Function Based on Mathematical Programming

Takashi Hasuike, Hideki Katagiri

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

    1 Citation (Scopus)

    Abstract

    This paper proposes a strict constructing approach for a reasonable membership function as objectively as possible. It is important to set a reasonable membership function to parameters for real-world decision making interactively and objectively. The main contribution of our proposed approach is to integrate a general continuous function derived from mathematical programming under a given probability density function based on real-world data into subjective interval estimation by a heuristic method. The interval estimation is to set intervals that a decision maker confidently judges whether an element is completely or never included in the given set. The main steps of our proposed approach are to solve the mathematical programming problem in terms of objectivity. It is hard to solve the problem with nonlinear function directly and efficiently. In this paper, the given nonlinear membership function is approximately transformed into a piecewise linear membership function, and the appropriate membership values are determined based on the strict optimal solution.

    Original languageEnglish
    Title of host publicationProceedings - 2016 Joint 8th International Conference on Soft Computing and Intelligent Systems and 2016 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages59-64
    Number of pages6
    ISBN (Electronic)9781467390415
    DOIs
    Publication statusPublished - 2016 Dec 28
    Event8th Joint International Conference on Soft Computing and Intelligent Systems and 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016 - Sapporo, Hokkaido, Japan
    Duration: 2016 Aug 252016 Aug 28

    Other

    Other8th Joint International Conference on Soft Computing and Intelligent Systems and 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016
    CountryJapan
    CitySapporo, Hokkaido
    Period16/8/2516/8/28

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    Keywords

    • constructing algorithm
    • mathematical programming
    • membership function
    • objectivity

    ASJC Scopus subject areas

    • Control and Optimization
    • Artificial Intelligence
    • Software
    • Computational Mathematics
    • Modelling and Simulation

    Cite this

    Hasuike, T., & Katagiri, H. (2016). A Subjective and Objective Constructing Approach for Reasonable Membership Function Based on Mathematical Programming. In Proceedings - 2016 Joint 8th International Conference on Soft Computing and Intelligent Systems and 2016 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016 (pp. 59-64). [7801613] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCIS-ISIS.2016.0026