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Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure

Author

Listed:
  • Ligang Zhou

    (Anhui University)

  • Zhifu Tao

    (Anhui University)

  • Huayou Chen

    (Anhui University)

  • Jinpei Liu

    (Anhui University)

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.

Suggested Citation

  • Ligang Zhou & Zhifu Tao & Huayou Chen & Jinpei Liu, 2014. "Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure," Group Decision and Negotiation, Springer, vol. 23(4), pages 879-900, July.
    • Handle: RePEc:spr:grdene:v:23:y:2014:i:4:d:10.1007_s10726-013-9359-1
    DOI: 10.1007/s10726-013-9359-1
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    References listed on IDEAS

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    1. José M. Merigó & Anna M. Gil-Lafuente & Li-Gang Zhou & Hua-You Chen, 2012. "Induced and Linguistic Generalized Aggregation Operators and Their Application in Linguistic Group Decision Making," Group Decision and Negotiation, Springer, vol. 21(4), pages 531-549, July.
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    Cited by:

    1. Donghai Liu & Xiaohong Chen & Dan Peng, 2017. "Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-11, February.
    2. Shouzhen Zeng & Yingjie Hu & Tomas Balezentis & Dalia Streimikiene, 2020. "A multi‐criteria sustainable supplier selection framework based on neutrosophic fuzzy data and entropy weighting," Sustainable Development, John Wiley & Sons, Ltd., vol. 28(5), pages 1431-1440, September.
    3. Gia Sirbiladze & Anna Sikharulidze, 2018. "Extensions of Probability Intuitionistic Fuzzy Aggregation Operators in Fuzzy MCDM/MADM," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 621-655, March.
    4. Donghai Liu & Xiaohong Chen & Dan Peng, 2018. "The Intuitionistic Fuzzy Linguistic Cosine Similarity Measure and Its Application in Pattern Recognition," Complexity, Hindawi, vol. 2018, pages 1-11, April.

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