Study on Entropy and Similarity Measure for Fuzzy Set

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概要

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• In this study, we investigated the relationship between similarity measures and entropy for fuzzy sets. First, we developed fuzzy entropy by using the distance measure for fuzzy sets. We pointed out that the distance between the fuzzy set and the corresponding crisp set equals fuzzy entropy. We also found that the sum of the similarity measure and the entropy between the fuzzy set and the corresponding crisp set constitutes the total information in the fuzzy set. Finally, we derived a similarity measure from entropy and showed by a simple example that the maximum similarity measure can be obtained using a minimum entropy formulation.

• （社）電子情報通信学会の論文
• 2009-09-01

著者

• Ryu Keun

  Department Of Computer Science Chungbuk National University

• Lee Sang-hyuk

  School Of Mechatronics Changwon National University

• SOHN Gyoyong

  Department of Computer Science, Chungbuk National University

• Sohn Gyoyong

  Department Of Computer Science Chungbuk National University

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• Study on Entropy and Similarity Measure for Fuzzy Set

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