Abstract
Fuzzy entropy was designed for non convex fuzzy membership function using well known Hamming distance measure. The proposed fuzzy entropy had the same structure as that of convex fuzzy membership case. Design procedure of fuzzy entropy was proposed by considering fuzzy membership through distance measure, and the obtained results contained more flexibility than the general fuzzy membership function. Furthermore, characteristic analyses for non convex function were also illustrated. Analyses on the mutual information were carried out through the proposed fuzzy entropy and similarity measure, which was also dual structure of fuzzy entropy. By the illustrative example, mutual information was discussed.
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Foundation item: Work supported by the Second Stage of Brain Korea 21 Projects; Work(2010-0020163) supported by the Priority Research Centers Program through the National Research Foundation (NRF) funded by the Ministry of Education, Science and Technology of Korea
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Lee, SH., Lee, SM., Sohn, GY. et al. Fuzzy entropy design for non convex fuzzy set and application to mutual information. J. Cent. South Univ. Technol. 18, 184–189 (2011). https://doi.org/10.1007/s11771-011-0678-6
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DOI: https://doi.org/10.1007/s11771-011-0678-6