计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (24): 43-45.

• 研究、探讨 • 上一篇    下一篇

一种新的Vague集的熵

孙宁宁,余建坤,杨力军   

  1. 云南财经大学 信息学院,昆明 650221
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-08-21 发布日期:2011-08-21

New entropy measure on vague sets

SUN Ningning,YU Jiankun,YANG Lijun   

  1. College of Information,Yunnan University of Finance and Economics,Yunnan 650221,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-08-21 Published:2011-08-21

摘要: 受Fuzzy集模糊熵的启发,提出了Vague集熵的公理化定义。充分考虑到Vague集的真隶属度、假隶属度和犹豫度三个方面,提出了新的Vague集的熵的计算公式,用于度量一个Vague集的模糊性。以实例来说明新的公式的有效性和实用性。

关键词: Vague集, Fuzzy集, 熵理论

Abstract: Inspirited and motivated by fuzzy entropy on fuzzy sets,the axiom definition of entropy on vague sets is proposed.It proposes and establishes a new entropy measure on vague sets by considering the membership degree,nonmenbership degree and hesitancy degree three aspects of the vague sets,which is used to measure the vagueness of a vague set.Some examples are given to demonstrate its effectiveness and practicability.

Key words: vague sets, fuzzy sets, entropy theory