TY - GEN
T1 - Constructing membership function based on fuzzy shannon entropy and human's interval estimation
AU - Hasuike, Takashi
AU - Katagiri, Hideki
AU - Tsubaki, Hiroe
AU - Tsuda, Hiroshi
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - S-curve function
KW - constructing membership function
KW - fuzzy entropy
KW - mathematical programming
UR - http://www.scopus.com/inward/record.url?scp=84867598361&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84867598361&partnerID=8YFLogxK
U2 - 10.1109/FUZZ-IEEE.2012.6251199
DO - 10.1109/FUZZ-IEEE.2012.6251199
M3 - Conference contribution
AN - SCOPUS:84867598361
SN - 9781467315067
T3 - IEEE International Conference on Fuzzy Systems
BT - 2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012
T2 - 2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012
Y2 - 10 June 2012 through 15 June 2012
ER -