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 |
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Keywords
- Constructing membership function
- Fuzzy entropy
- Mathematical programming
- S-curve function
ASJC Scopus subject areas
- Computer Science(all)
- Control and Systems Engineering
Cite this
Constructing an appropriate membership function integrating fuzzy shannon entropy and human's interval estimation. / Hasuike, Takashi; Katagiri, Hideki; Tsubaki, Hiroe.
In: ICIC Express Letters, Vol. 8, No. 3, 2014, p. 809-813.Research output: Contribution to journal › Article
}
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
AN - SCOPUS:84893174591
VL - 8
SP - 809
EP - 813
JO - ICIC Express Letters
JF - ICIC Express Letters
SN - 1881-803X
IS - 3
ER -