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Fuzzy Entropy Construction based on Similarity Measure

  • Park, Hyun-Jeong (Department of Mathematics Education, Ewha Womans University) ;
  • Yang, In-Suk (Department of Industrial and Applied Mathematics, Kyungbuk National University) ;
  • Ryu, Soo-Rok (Department of Industrial and Applied Mathematics, Kyungbuk National University) ;
  • Lee, Sang-Hyuk (School of Mechatronics, Changwon National University)
  • Published : 2008.04.25

Abstract

In this Paper we derived fuzzy entropy that is based on similarity measure. Similarity measure represents the degree of similarity between two informations, those informations characteristics are not important. First we construct similarity measure between two informations, and derived entropy functions with obtained similarity measure. Obtained entropy is verified with proof. With the help of one-to-one similarity is also obtained through distance measure, this similarity measure is also proved in our paper.

Keywords

References

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