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Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure

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Abstract

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.

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Acknowledgments

The work was supported by National Natural Science Foundation of China (No. 71071002), Provincial Natural Science Research Project of Anhui Colleges (No. KJ2012A026), Anhui Provincial Natural Science Foundation (No. 1308085QG127), Academic Innovation Team of Anhui University (No. KJTD001B, SKTD007B). Higher School Specialized Research Fund for the Doctoral Program (No. 20123401110001), The Scientific Research Foundation of the Returned Overseas Chinese Scholars, Humanity and Social Science Youth Foundation of Ministry of Education, Humanities and Social Science Research Project of Department of Education of Anhui Province (No. SK2013B041) and Foundation for the Young Scholar of Anhui University (No. 2009QN022B). The authors are thankful to the anonymous reviewers and the editor for their valuable comments and constructive suggestions with regard to this paper.

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Jiulong Road, Hefei, 230601, Anhui, China

    Ligang Zhou, Zhifu Tao & Huayou Chen

  2. School of Business, Anhui University, Jiulong Road, Hefei, 230601, Anhui, China

    Jinpei Liu

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  1. Ligang Zhou
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  2. Zhifu Tao
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  4. Jinpei Liu
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Correspondence to Huayou Chen.

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Zhou, L., Tao, Z., Chen, H. et al. Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure. Group Decis Negot 23, 879–900 (2014). https://doi.org/10.1007/s10726-013-9359-1

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