摘要
模糊熵作为一种度量模糊集的模糊性和信息量的工具,很多学者提出了多种度量方法,但这些方法中对Vague集模糊熵的约束条件的定义不够全面严谨,对现有的模糊熵构造方法进行了分析,给出了改进的Vague集模糊熵的直观约束条件,并根据Vague集的三维图提出了一种新的模糊熵构造方法,最后通过对定理的证明表明新的模糊熵构造方法同时考虑到了Vague集未知信息和不确定性信息两方面带来的模糊性,证明了新的Vague集模糊熵的定义更加合理。
Fuzzy entropy is a tool for measuring the ambiguity and the information quantity of Vague set.Many construction methods of fuzzy entropy have been proposed in recent years,but the constraint conditions of fuzzy entropy are not comprehensive and rigorous in these methods.This paper draws analysis among present construction methods,and provides improved constraint conditions of fuzzy entropy and a new construction method of fuzzy entropy according to the three-dimensional plot.Finally it shows that the new method takes into account both the unknown and the uncertainty information by proved theorem,thus the new method of fuzzy entropy is more efficient.
出处
《计算机工程与应用》
CSCD
北大核心
2009年第29期52-54,共3页
Computer Engineering and Applications
基金
国家自然科学基金(No.60564001)
国家教育部新世纪人才支持计划(No.NCET-06-0756)
广西自然科学基金(No.0832286
No.0991061)
广西研究生教育创新计划项目(No.2007105930812M49)~~
