计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (9): 70-72.

• 理论研究 • 上一篇    下一篇

直觉区间值模糊集的σ-熵、σ-距离测度和σ-相似测度

俞 峰,杨成梧   

  1. 南京理工大学 动力工程学院,南京 210094
  • 收稿日期:2007-07-16 修回日期:2007-11-05 出版日期:2008-03-21 发布日期:2008-03-21
  • 通讯作者: 俞 峰

σ-entropy,σ-distance measure and σ-similarity measure of intuitionistic interval-valued fuzzy sets

YU Feng,YANG Cheng-wu   

  1. School of Power Engineering,Nanjing University of Science and Technology,Nanjing 210094,China
  • Received:2007-07-16 Revised:2007-11-05 Online:2008-03-21 Published:2008-03-21
  • Contact: YU Feng

摘要: σ-度量和弱σ-度量是模糊信息度量的重要概念。熵、距离测度和相似测度是σ-度量和弱σ-度量的特例。在直觉区间值模糊集定义的基础上,给出了σ-熵和弱σ-熵、σ-距离测度和弱σ-距离测度、σ-相似测度和弱σ-相似测度的定义与性质,并讨论了它们之间的关系。

关键词: 直觉区间值模糊集, σ-度量, σ-度量, 熵, 距离测度, 相似测度

Abstract: The σ-measures and weak σ-measures are important concepts in fuzzy information measure.Entropy,distance measure and similarity measure are special cases of σ-measures and weak σ-measures.Based on the definition of intuitionistic interval-valued fuzzy sets,this paper gives the definitions and properties of σ-entropy and weak σ-entropy,σ-distance measure and weak σ-distance measure,σ-similarity measure and weak σ-similarity measure,then discusses basic relations among them.

Key words: intuitionistic interval-valued fuzzy sets, σ-measures, weak σ-measures, entropy, distance measure, similarity measure