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 proceedingConference 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 languageEnglish
Title of host publication2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1343-1348
Number of pages6
ISBN (Print)9781479959556
DOIs
Publication statusPublished - 2014 Feb 18
Externally publishedYes
Event2014 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 32014 Dec 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
CountryJapan
CityKitakyushu
Period14/12/314/12/6

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Keywords

  • constructive method for membership function
  • fuzzy entropy
  • mathematical programming
  • smoothing function

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence

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). [7044754] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCIS-ISIS.2014.7044754