计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (4): 73-76.

• 学术探讨 • 上一篇    下一篇

Vague集之间相似性度量的基本准则与一般方法

王伟平1,2,吴祈宗1,李玉玲1,3   

  1. 1.北京理工大学 管理与经济学院,北京 100081
    2.山东交通学院 数理系,济南 250023
    3.河南大学 数据与知识工程研究所,河南 开封 475001
  • 收稿日期:2007-06-04 修回日期:2007-07-31 出版日期:2008-02-01 发布日期:2008-02-01
  • 通讯作者: 王伟平

Basic rules and general method on similarity measures between Vague sets

WANG Wei-ping1,2,WU Qi-zong1,LI Yu-ling1,3   

  1. 1.School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China
    2.Department of Mathematics & Physics,Shandong Jiaotong University,Jinan 250023,China
    3.Institute of Data and Knowledge Engineering,Henan University,Kaifeng,Henan 475001,China
  • Received:2007-06-04 Revised:2007-07-31 Online:2008-02-01 Published:2008-02-01
  • Contact: WANG Wei-ping

摘要: 研究一般情形下Vague集之间的相似性度量问题。分析现有相似度度量方法的种类并指出其不足之处,提出Vague值间相似性度量的基本准则。考虑到未知信息对相似度的影响,根据基本准则提出适用于一般情况的度量公式。讨论该公式满足基本准则的必要条件,并给出具体的公式。最后通过模式识别中的实例说明其有效性。

关键词: Vague集, 相似性度量, 基本准则, 一般方法, 未知度

Abstract: This paper firstly analyses two main sorts of similarity measures between Vague sets and between elements at present,and points out the same problem of these measures.Then,some basic rules are proposed to measure the rationality of similarity measures.According to the basic rules,a new method of similarity measure is introduced in general conditions,which takes full advantage of the hesitancy degree of element.The necessary conditions of this similarity measure are also pointed out.Finally,the application of the similarity measure and its effectiveness are illustrated by an example in pattern recognition.

Key words: Vague sets, similarity measure, basic rules, general method, hesitancy degree