An objective approach for constructing a membership function based on fuzzy Harvda-Charvat entropy and mathematical programming

Takashi Hasuike, Hideki Katagiri

    研究成果: Article査読

    抄録

    This paper proposes an objective approach to the construction of an appropriate membership function that extends to our previous studies. It is important to set a membership function with subjectivity and objectivity to obtain a reasonable optimal solution that complies with the decision maker's feelings in real-world decision making. To ensure objectivity and subjectivity of the obtained membership function, an entropybased approach based on mathematical programming is integrated into the interval estimation considered by the decision maker. Fuzzy Harvda-Charvat entropy, which is a natural extension of fuzzy Shannon entropy, is introduced as general entropy with fuzziness. The main steps of our proposed approach are to set intervals with membership values 0 and 1 to enable a decision maker to judge confidently, and to solve the proposed mathematical programming problem strictly using nonlinear programming. In this paper, the given membership function is assumed to be a piecewise linear membership function as an approximation of nonlinear functions, and each intermediate value of partial linear function is optimally obtained.

    本文言語English
    ページ(範囲)535-542
    ページ数8
    ジャーナルJournal of Advanced Computational Intelligence and Intelligent Informatics
    20
    4
    DOI
    出版ステータスPublished - 2016

    ASJC Scopus subject areas

    • 人工知能
    • コンピュータ ビジョンおよびパターン認識
    • 人間とコンピュータの相互作用

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