计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (27): 75-77.DOI: 10.3778/j.issn.1002-8331.2008.27.024

• 理论研究 • 上一篇    下一篇

新的Vague熵构造方法

江 伟1,2,梁家荣1,蒋建兵1   

  1. 1.广西大学 计算机与电子信息学院,南宁 530004
    2.咸宁学院 信息工程学院,湖北 咸宁 437000
  • 收稿日期:2007-11-16 修回日期:2008-02-18 出版日期:2008-09-21 发布日期:2008-09-21
  • 通讯作者: 江 伟

New constructional method on entropy of Vague sets

JIANG Wei1,2,LIANG Jia-rong1,JIANG Jian-bin1   

  1. 1.College of Computer Electronics and Information,Guangxi University,Nanning 530004,China
    2.College of Information Engineering,Xianning College,Xianning,Hubei 437000,China
  • Received:2007-11-16 Revised:2008-02-18 Online:2008-09-21 Published:2008-09-21
  • Contact: JIANG Wei

摘要: 通过对Vague集的模糊度本质分析,指出现有模糊熵构造方法的不足,给出了符合人们直觉的Vague集的模糊熵的公理化定义,相应地提出了一种新的Vague集的模糊熵计算公式,并通过定理证明和实例对比分析,说明它在具有良好的数学性质的同时,所得结果更合理,更符合人的直觉。

Abstract: This paper points out deficiencies of the existing constructional method on entropy of vague sets and proposes an axiom definition of the fuzzy entropy of Vague sets those accords with the person’s intuition,and presents a new corresponding formula of the fuzzy entropy of Vague set.By proved theorem and analyzed example,it shows that the new formula has some good mathematics properties and the calculated results accord with the person’s intuition.