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

Takashi Hasuike, Hideki Katagiri, Hiroe Tsubaki, Hiroshi Tsuda

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
DOIs
Publication statusPublished - 2012
Externally publishedYes
Event2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012 - Brisbane, QLD, Australia
Duration: 2012 Jun 102012 Jun 15

Other

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

Fingerprint

Fuzzy Entropy
Interval Estimation
Shannon Entropy
Membership functions
Membership Function
Probability density function
Entropy
Heuristic methods
Mathematical programming
Heuristic Method
Mathematical Programming
Integrate
Numerical Examples
Curve
Human

Keywords

  • constructing membership function
  • fuzzy entropy
  • mathematical programming
  • S-curve function

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence
  • Applied Mathematics
  • Theoretical Computer Science

Cite this

Hasuike, T., Katagiri, H., Tsubaki, H., & Tsuda, H. (2012). Constructing membership function based on fuzzy shannon entropy and human's interval estimation. In IEEE International Conference on Fuzzy Systems [6251199] https://doi.org/10.1109/FUZZ-IEEE.2012.6251199

Constructing membership function based on fuzzy shannon entropy and human's interval estimation. / Hasuike, Takashi; Katagiri, Hideki; Tsubaki, Hiroe; Tsuda, Hiroshi.

IEEE International Conference on Fuzzy Systems. 2012. 6251199.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hasuike, T, Katagiri, H, Tsubaki, H & Tsuda, H 2012, Constructing membership function based on fuzzy shannon entropy and human's interval estimation. in IEEE International Conference on Fuzzy Systems., 6251199, 2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012, Brisbane, QLD, Australia, 12/6/10. https://doi.org/10.1109/FUZZ-IEEE.2012.6251199
Hasuike T, Katagiri H, Tsubaki H, Tsuda H. Constructing membership function based on fuzzy shannon entropy and human's interval estimation. In IEEE International Conference on Fuzzy Systems. 2012. 6251199 https://doi.org/10.1109/FUZZ-IEEE.2012.6251199
Hasuike, Takashi ; Katagiri, Hideki ; Tsubaki, Hiroe ; Tsuda, Hiroshi. / Constructing membership function based on fuzzy shannon entropy and human's interval estimation. IEEE International Conference on Fuzzy Systems. 2012.
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