A New Similarity Measure for Intuitionistic Fuzzy Sets and Its Applications
A New Similarity Measure for Intuitionistic Fuzzy Sets and Its Applications
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一种新的直觉模糊集相似性测度及其应用
DOI：
10.6186/ijims.2012.23.2.7
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发表时间：
2012-06
期刊：
影响因子：
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通讯作者：
Xiaohong Chen
中科院分区：
文献类型：
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作者：
Liyuan Zhang;Xuanhua Xu;Xiaohong Chen
本文考虑了直觉模糊集（IFS）的概念，提出了一种新的相似性测度和IFS之间的加权相似性测度。然后，我们证明了所提方法的一些性质，并用几个例子比较了新的相似测度与现有的相似测度。数值结果表明，该方法比现有方法更简单、更有效。最后，将新的相似度测度应用于多属性决策和模式识别。
In this paper, considering the notion of intuitionistic fuzzy set (IFS), a new similarity measure and a weighted similarity measure between IFSs are proposed. Then, we prove some properties of the proposed method, we also use several examples to compare the new similarity measure with the existing similarity measures. Numerical results show that our method is much simpler and more efficient than the existing methods. Finally, the new similarity measure is applied to multi-attribute decision-making and pattern recognition.