Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (2): 36-38.

• 研究、探讨 • Previous Articles     Next Articles

Relationships among fuzzy entropy,distance measure and similarity measure

LV Yinchao, GUO Sizong   

  1. Institute of Mathematics and Systems Science, College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2012-01-11 Published:2012-01-11

模糊熵、距离测度和相似性测度之间的关系

吕印超,郭嗣琮   

  1. 辽宁工程技术大学 理学院,数学与系统科学研究所,辽宁 阜新 123000

Abstract: Fuzzy entropy, distance measure and similarity measure are three important measures of fuzzy sets. Many scholars studied the relationships among them. Using stricter definitions, their relationships are studied though operations of fuzzy sets in this paper, and some induction formulas are given. Additionally, examples of some of the formulas are also presented.

Key words: fuzzy entropy, distance measure, similarity measure

摘要: 模糊熵、距离测度和相似性测度是模糊集合的三种重要度量,许多学者对三者之间的关系进行了研究。采用更为严格的定义,通过定义模糊集合之间新的运算研究了三者之间的关系,给出了三者之间的相互诱导公式。对部分公式进行了举例说明。

关键词: 模糊熵, 距离测度, 相似性测度