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Interval-Valued Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure and Its Application in Investment Decision-Making

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  • Donghai Liu
  • Xiaohong Chen
  • Dan Peng

Abstract

We present the interval-valued intuitionistic fuzzy ordered weighted cosine similarity (IVIFOWCS) measure in this paper, which combines the interval-valued intuitionistic fuzzy cosine similarity measure with the generalized ordered weighted averaging operator. The main advantage of the IVIFOWCS measure provides a parameterized family of similarity measures, and the decision maker can use the IVIFOWCS measure to consider a lot of possibilities and select the aggregation operator in accordance with his interests. We have studied some of its main properties and particular cases such as the interval-valued intuitionistic fuzzy ordered weighted arithmetic cosine similarity (IVIFOWACS) measure and the interval-valued intuitionistic fuzzy maximum cosine similarity (IVIFMAXCS) measure. The IVIFOWCS measure not only is a generalization of some similarity measure, but also it can deal with the correlation of different decision matrices for interval-valued intuitionistic fuzzy values. Furthermore, we present an application of IVIFOWCS measure to the group decision-making problem. Finally the existing similarity measures are compared with the IVIFOWCS measure by an illustrative example.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:1891923
    DOI: 10.1155/2017/1891923
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    References listed on IDEAS

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    1. Ligang Zhou & Huayou Chen & Jinpei Liu, 2013. "Generalized Multiple Averaging Operators and their Applications to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 331-358, March.
    2. 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.
    3. Jinpei Liu & Sheng Lin & Huayou Chen & Ligang Zhou, 2013. "The Continuous Quasi-OWA Operator and its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 715-738, July.
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    Cited by:

    1. 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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