Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure

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• 作者：Ligang Zhou (1)
  Zhifu Tao (1)
  Huayou Chen (1)
  Jinpei Liu (2)
  
• 关键词：Group decision making ; Intuitionistic fuzzy sets ; Cosine similarity measure ; IFOWCS measure
• 刊名：Group Decision and Negotiation
• 出版年：2014
• 出版时间：July 2014
• 年：2014
• 卷：23
• 期：4
• 页码：879-900
• 全文大小：
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• 作者单位：Ligang Zhou (1)
  Zhifu Tao (1)
  Huayou Chen (1)
  Jinpei Liu (2)
  
  1. School of Mathematical Sciences, Anhui University, Jiulong Road, Hefei, 230601, Anhui, China
  2. School of Business, Anhui University, Jiulong Road, Hefei, 230601, Anhui, China
  
• ISSN：1572-9907

文摘

The aim of this paper is to introduce the intuitionistic fuzzy ordered weighted cosine similarity (IFOWCS) measure by using the cosine similarity measure of intuitionistic fuzzy sets and the generalized ordered weighted averaging (GOWA) operator. Some desirable properties and different families of the IFOWCS measure are investigated. The prominent characteristics of the IFOWCS measure are that not only it is a generalization of some widely used similarity measure, but also it can deal with the correlation of different decision matrices or multi-dimensional arrays for intuitionistic fuzzy values. We further generalize the IFOWCS measure and obtain the intuitionistic fuzzy ordered weighted similarity (IFOWS) measure. In the end, the IFOWS measure with existing similarity measures are compared with the IFOWCS measure by an illustrative example.