Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (11): 16-18.

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Intuitionistic fuzzy similarity measure approach based on inclusion degrees

WANG Yi,LEI Ying-jie   

  1. Missile Institute,Air Force Engineering University,Sanyuan,Shaanxi 713800,China
  • Received:2007-12-25 Revised:2008-02-01 Online:2008-04-11 Published:2008-04-11
  • Contact: WANG Yi

基于包含度的直觉模糊相似度量方法

王 毅,雷英杰   

  1. 空军工程大学 导弹学院,陕西 三原 713800
  • 通讯作者: 王 毅

Abstract: To the status that intuitionistic fuzzy similarity measures exists in present references are mostly based on intuitionistic fuzzy distance measurement,an intuitionistic fuzzy similarity measure based on inclusion degrees is presented.This paper establishes a series of equations on IFS inclusion degrees by using fuzzy implication operators and set cardinal numbers,reveals the relationship between inclusion degrees and similarity measures and proposes an inclusion degree based IFS similarity measure.The instance indicates that the proposed method can not only resolve the problem,and that it provide a new approach for the research on theory of IFS similarity measurement as well.

Key words: Intuitionistic Fuzzy Sets(IFS), inclusion degrees, similarity measures, fuzzy implication operators, cardinal numbers set

摘要: 针对现有文献中涉及到直觉模糊相似度量的计算公式大多是基于直觉模糊距离测度的现状,提出一种基于包含度的直觉模糊相似度量方法。借助模糊蕴涵算子和集合基数,建立了IFS包含度的一系列具体公式,揭示了IFS包含度与相似度的关系,提出了一种基于包含度的IFS相似度量方法,并以具体算例表明该方法不仅可以解决中部分存在的问题,而且为研究IFS相似度量理论开辟一个新的途径。

关键词: 直觉模糊集, 包含度, 相似度, 模糊蕴涵算子, 集合基数