模糊熵：公理化定义和神经网络模型

数学季刊 ›› 2004, Vol. 19 ›› Issue (3): 319-322.

模糊熵：公理化定义和神经网络模型

Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China; Zhengzhou Teacher's College, Zhengzhou 450044, China

收稿日期:2004-03-05 出版日期:2004-09-30 发布日期:2024-03-14
作者简介:QING Ming(1971-),male,native of Santai,Sichuan,a lecturer of Southwest Jiaotong University, engages in fuzzy information processing.
基金资助:
Supported by the National Natural Science Foundation of China(60074014)；

Fuzzy Entropy: Axiomatic Definition and Neural Networks Model

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)；

摘要/Abstract

摘要： 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.

关键词: neural networks;BP networks;fuzzy , entropy;fuzzy , set;model

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

中图分类号:

O157.5

卿铭, 曹悦, 黄天民. 模糊熵：公理化定义和神经网络模型[J]. 数学季刊, 2004, 19(3): 319-322.

QING Ming, CAO Yue, HUANG Tian-min. Fuzzy Entropy: Axiomatic Definition and Neural Networks Model[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(3): 319-322.

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