Constructing membership function based on fuzzy shannon entropy and human's interval estimation

Takashi Hasuike*, Hideki Katagiri, Hiroe Tsubaki, Hiroshi Tsuda

*この研究の対応する著者

研究成果: Conference contribution

5 被引用数 (Scopus)

抄録

This paper develops a new constructing approach of an appropriate membership function to integrate a given probability density function and fuzzy Shannon entropy extending the statistical theory into the heuristic method based on the human cognitive behavior and subjectivity. The proposed approach is formulated as a more general mathematical programming problem than previous approaches due to using a general S-curve function and the fuzzy Shannon entropy. Then, performing deterministic equivalent transformations to the initial problem, the optimal condition of parameters is obtained. Furthermore, in order to show the appropriate membership function using the proposed approach, some probability density functions are provided as numerical examples.

本文言語English
ホスト出版物のタイトル2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012
DOI
出版ステータスPublished - 2012
外部発表はい
イベント2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012 - Brisbane, QLD, Australia
継続期間: 2012 6月 102012 6月 15

出版物シリーズ

名前IEEE International Conference on Fuzzy Systems
ISSN(印刷版)1098-7584

Other

Other2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012
国/地域Australia
CityBrisbane, QLD
Period12/6/1012/6/15

ASJC Scopus subject areas

  • ソフトウェア
  • 理論的コンピュータサイエンス
  • 人工知能
  • 応用数学

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