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A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method

Author

Listed:
  • Yun Jin

    (College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)

  • Hecheng Wu

    (College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)

  • Dechao Sun

    (College of Big Data and Software Engineering, Zhejiang Wanli University, Ningbo 315100, China)

  • Shouzhen Zeng

    (College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
    School of Business, Ningbo University, Ningbo 315211, China)

  • Dandan Luo

    (School of Business, Ningbo University, Ningbo 315211, China)

  • Bo Peng

    (School of Management, Nanchang University, Nanchang 330031, China)

Abstract

As a generalization of several fuzzy tools, picture fuzzy sets (PFSs) hold a special ability to perfectly portray inherent uncertain and vague decision preferences. The intention of this paper is to present a Pearson’s picture fuzzy correlation-based model for multi-attribute decision-making (MADM) analysis. To this end, we develop a new correlation coefficient for picture fuzzy sets, based on which a Pearson’s picture fuzzy closeness index is introduced to simultaneously calculate the relative proximity to the positive ideal point and the relative distance from the negative ideal point. On the basis of the presented concepts, a Pearson’s correlation-based model is further presented to address picture fuzzy MADM problems. Finally, an illustrative example is provided to examine the usefulness and feasibility of the proposed methodology.

Suggested Citation

  • Yun Jin & Hecheng Wu & Dechao Sun & Shouzhen Zeng & Dandan Luo & Bo Peng, 2019. "A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method," Mathematics, MDPI, vol. 7(10), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:999-:d:278778
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    References listed on IDEAS

    as
    1. Guiwu Wei, 2018. "Uncertain Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 10(2), pages 40-64, April.
    2. Edmundas Kazimieras Zavadskas & Abbas Mardani & Zenonas Turskis & Ahmad Jusoh & Khalil MD Nor, 2016. "Development of TOPSIS Method to Solve Complicated Decision-Making Problems — An Overview on Developments from 2000 to 2015," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 645-682, May.
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    Cited by:

    1. Dandan Luo & Shouzhen Zeng & Ji Chen, 2020. "A Probabilistic Linguistic Multiple Attribute Decision Making Based on a New Correlation Coefficient Method and its Application in Hospital Assessment," Mathematics, MDPI, vol. 8(3), pages 1-16, March.

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