Constructive method for appropriate membership function integrating fuzzy entropy with smoothing function into interval estimation

Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

This paper develops a constructing approach of a membership function to integrate the fuzzy Shannon entropy with a smoothing function into intervals set by the heuristic method based on the human cognitive behavior and subjectivity under a given probability density function. It is important to set a membership function appropriately in decision making. Therefore, the main parts of our proposed approach are to give membership values a decision maker confidently set, and to obtain the others by solving a nonlinear mathematical programming problem objectively. It is difficult to solve the problem efficiently using previous constructing approaches. In this paper, performing deterministic equivalent transformations to the initial problem using nonlinear programming, an efficient algorithm to obtain the optimal condition of each membership value is developed.

本文言語English
ホスト出版物のタイトル2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
出版社Institute of Electrical and Electronics Engineers Inc.
ページ1343-1348
ページ数6
ISBN(印刷版)9781479959556
DOI
出版ステータスPublished - 2014 2 18
外部発表はい
イベント2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014 - Kitakyushu, Japan
継続期間: 2014 12 32014 12 6

Other

Other2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
国/地域Japan
CityKitakyushu
Period14/12/314/12/6

ASJC Scopus subject areas

  • ソフトウェア
  • 人工知能

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