计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (31): 132-134.

• 数据库、信号与信息处理 • 上一篇    下一篇

关于Vague集模糊熵及新构造方法

翁小兰1,庄永龙2   

  1. 1.淮阴师范学院 计算机科学与技术学院,江苏 淮安 223300
    2.淮阴师范学院 信息中心,江苏 淮安 223300
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-11-01 发布日期:2011-11-01

Fuzzy entropy of Vague sets and its new construction method

WENG Xiaolan1,ZHUANG Yonglong2   

  1. 1.College of Computer Science and Technology,Huaiyin Normal University,Huai’an,Jiangsu 223300,China
    2.Information Center,Huaiyin Normal University,Huai’an,Jiangsu 223300,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-11-01 Published:2011-11-01

摘要: 从Vague集模糊性主要来自未知信息与不确定信息出发,给出一种新的Vague集模糊熵计算方法,并改进了它的公理化定义及其证明。最后通过实例分析,指出它确实同时考虑到Vague集的未知性和不确定性,从而证明所给出Vague集模糊熵的定义是更加合理的。

关键词: Vague集, Fuzzy集, 隶属函数, 模糊熵

Abstract: The fuzziness of Vague sets comes from the unknown and the uncertainty,and then a new formula on the fuzzy entropy of Vague sets is proposed,and the axiomatic definition and theorem is improved and proved.Finally the unknown and the uncertainty are pointed out to really take into account simultaneously on given formula by example analysis,and then it is proved that the definition on the fuzzy entropy of Vague sets is more efficient and rational.

Key words: Vague sets, Fuzzy sets, membership function, fuzzy entropy