Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (3): 319-322.

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Fuzzy Entropy: Axiomatic Definition and Neural Networks Model

  

  1. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China; Zhengzhou Teacher's College, Zhengzhou 450044, China
  • Received:2004-03-05 Online:2004-09-30 Published:2024-03-14
  • About author:QING Ming(1971-),male,native of Santai,Sichuan,a lecturer of Southwest Jiaotong University, engages in fuzzy information processing.
  • Supported by:
     Supported by the National Natural Science Foundation of China(60074014);

Abstract: The measure of uncertainty is adopted as a measure of information. The measures of fuzziness are known as fuzzy information measures. The measure of a quantity of fuzzy information gained from a fuzzy set or fuzzy system is known as fuzzy entropy. Fuzzy entropy has been focused and studied by many researchers in various fields. In this paper, firstly, the axiomatic definition of fuzzy entropy is discussed. Then, neural networks model of fuzzy entropy is proposed, based on the computing capability of neural networks. In the end, two examples are discussed to show the efficiency of the model. 

Key words: neural networks;BP networks;fuzzy , entropy;fuzzy , set;model

CLC Number: