• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

计算机工程与科学

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基于正弦函数的直觉模糊集相似度测量及其应用

杨勇,张东升,王艳茹,张亚男   

  1. (西北师范大学计算机科学与工程学院,甘肃 兰州 730070)
  • 收稿日期:2016-04-11 修回日期:2016-06-07 出版日期:2018-01-25 发布日期:2018-01-25

Similarity measure of intuitionistic fuzzy sets
based on sine function and its application

YANG Yong,ZHANG Dong-sheng,WANG Yan-ru,ZHANG Ya-nan   

  1. (College of Computer Science and Engineering,Northwest Normal University,Lanzhou 730070,China)
  • Received:2016-04-11 Revised:2016-06-07 Online:2018-01-25 Published:2018-01-25

摘要:

相似度测量是度量两个直觉模糊集相似程度的重要方法,现已有很多测量公式被相继提出,但现有的部分公式在一些实际应用中会出现无法归类或计算过程相对复杂现象。针对这种问题,通过对Tian 提出的余切相似度测量方法的研究,同时考虑隶属度、非隶属度和犹豫度三个方面信息,提出了两个正弦相似度测量公式,证明了公式的正确性,并用几组数值例子将其与其它测量公式进行比较分析,验证了新公式的合理性。最后通过实例说明了该方法的有效性。

关键词: 直觉模糊集, 相似度, 隶属度, 非隶属度, 犹豫度, 正弦相似度测量

Abstract:

Similarity measure is an important method to measure the similarity between two intuitionsitic fuzzy sets. Many formulas about similarity measure have been proposed, but some are unable to classify or involve complicated calculation in practical applications. To solve this problem, based on the cotangent similarity measurement method proposed by Tian and the information carried by the membership degree, nonmembership degree and hesitancy degree, we propose two sine similarity measure formulas which prove to be correct. Then we conduct comparative analysis among various similarity measures by several numerical examples to illustrate the effectiveness of the proposed sine similarity measures. Finally, the effectiveness of the method is illustrated by an example.
 
 

Key words: intuitionistic fuzzy set, similarity, membership degree, nonmembership degree, hesitancy degree, sine similarity measure