### Abstract

This paper proposes a new approach of constructing an appropriate membership function to integrate a specific given probability density function, particularly Gaussian function, and fuzzy Shannon entropy extending the information theory 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 Gaussian-based function and the fuzzy Shannon entropy. The optimal condition of parameters is obtained by performing deterministic equivalent transformations to the initial problem. Furthermore, in order to show the appropriate membership function using the proposed approach, some probability density functions are provided as numerical examples.

Original language | English |
---|---|

Pages (from-to) | 809-813 |

Number of pages | 5 |

Journal | ICIC Express Letters |

Volume | 8 |

Issue number | 3 |

Publication status | Published - 2014 |

Externally published | Yes |

### Fingerprint

### Keywords

- Constructing membership function
- Fuzzy entropy
- Mathematical programming
- S-curve function

### ASJC Scopus subject areas

- Computer Science(all)
- Control and Systems Engineering

### Cite this

*ICIC Express Letters*,

*8*(3), 809-813.

**Constructing an appropriate membership function integrating fuzzy shannon entropy and human's interval estimation.** / Hasuike, Takashi; Katagiri, Hideki; Tsubaki, Hiroe.

Research output: Contribution to journal › Article

*ICIC Express Letters*, vol. 8, no. 3, pp. 809-813.

}

TY - JOUR

T1 - Constructing an appropriate membership function integrating fuzzy shannon entropy and human's interval estimation

AU - Hasuike, Takashi

AU - Katagiri, Hideki

AU - Tsubaki, Hiroe

PY - 2014

Y1 - 2014

N2 - This paper proposes a new approach of constructing an appropriate membership function to integrate a specific given probability density function, particularly Gaussian function, and fuzzy Shannon entropy extending the information theory 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 Gaussian-based function and the fuzzy Shannon entropy. The optimal condition of parameters is obtained by performing deterministic equivalent transformations to the initial problem. Furthermore, in order to show the appropriate membership function using the proposed approach, some probability density functions are provided as numerical examples.

AB - This paper proposes a new approach of constructing an appropriate membership function to integrate a specific given probability density function, particularly Gaussian function, and fuzzy Shannon entropy extending the information theory 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 Gaussian-based function and the fuzzy Shannon entropy. The optimal condition of parameters is obtained by performing deterministic equivalent transformations to the initial problem. Furthermore, in order to show the appropriate membership function using the proposed approach, some probability density functions are provided as numerical examples.

KW - Constructing membership function

KW - Fuzzy entropy

KW - Mathematical programming

KW - S-curve function

UR - http://www.scopus.com/inward/record.url?scp=84893174591&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893174591&partnerID=8YFLogxK

M3 - Article

VL - 8

SP - 809

EP - 813

JO - ICIC Express Letters

JF - ICIC Express Letters

SN - 1881-803X

IS - 3

ER -