计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (7): 64-65.

• 研究、探讨 • 上一篇    下一篇

一种新的Vague集距离测度及其应用

李永新1,杨永伟2   

  1. 1.西京学院,西安 710123
    2.西北大学 数学系,西安 710127
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2012-03-01 发布日期:2012-03-01

New distance measure for Vague sets and its application

LI Yongxin1, YANG Yongwei2   

  1. 1.Xijing University, Xi’an 710123, China
    2.Department of Mathematics, Northwest University, Xi’an 710127, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2012-03-01 Published:2012-03-01

摘要: 在给出Vague集及其距离测度的概念后,将单个Vague值作为一个区间,运用Vague集向Fuzzy集转化的思想将区间离化为点,通过求点的欧式距离得出两个Vague值之间的距离测度。分析了该公式的性能,并讨论了它在模糊识别中的应用。

Abstract: After the concepts of Vague sets and the distance measure are introduced, this paper views a single Vague value as an interval, then makes it into points through the use of the idea of transforming Vague sets to Fuzzy sets. Finally, the distance measure between two Vague values is obtained by means of calculating the Euclidean distance of point values. Then it analyzes the performance of the formula, and discusses the application in pattern recognition.