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

Takashi Hasuike; Hideki Katagiri; Hiroe Tsubaki

doi:10.1109/SCIS-ISIS.2014.7044754

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

Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

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.

Original language	English
Title of host publication	2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1343-1348
Number of pages	6
ISBN (Print)	9781479959556
DOIs	https://doi.org/10.1109/SCIS-ISIS.2014.7044754
Publication status	Published - 2014 Feb 18
Externally published	Yes
Event	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 Duration: 2014 Dec 3 → 2014 Dec 6

Other

Other	2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
Country/Territory	Japan
City	Kitakyushu
Period	14/12/3 → 14/12/6

Keywords

constructive method for membership function
fuzzy entropy
mathematical programming
smoothing function

ASJC Scopus subject areas

Software
Artificial Intelligence

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10.1109/SCIS-ISIS.2014.7044754

Cite this

Hasuike, T., Katagiri, H., & Tsubaki, H. (2014). Constructive method for appropriate membership function integrating fuzzy entropy with smoothing function into interval estimation. In 2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014 (pp. 1343-1348). Article 7044754 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCIS-ISIS.2014.7044754

Constructive method for appropriate membership function integrating fuzzy entropy with smoothing function into interval estimation. / Hasuike, Takashi; Katagiri, Hideki; Tsubaki, Hiroe.
2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1343-1348 7044754.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hasuike, T, Katagiri, H & Tsubaki, H 2014, Constructive method for appropriate membership function integrating fuzzy entropy with smoothing function into interval estimation. in 2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014., 7044754, Institute of Electrical and Electronics Engineers Inc., pp. 1343-1348, 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, 14/12/3. https://doi.org/10.1109/SCIS-ISIS.2014.7044754

Hasuike T, Katagiri H, Tsubaki H. Constructive method for appropriate membership function integrating fuzzy entropy with smoothing function into interval estimation. In 2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 1343-1348. 7044754 doi: 10.1109/SCIS-ISIS.2014.7044754

Hasuike, Takashi ; Katagiri, Hideki ; Tsubaki, Hiroe. / Constructive method for appropriate membership function integrating fuzzy entropy with smoothing function into interval estimation. 2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 1343-1348

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

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