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Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model

Author

Listed:
  • Jiekun Song

    (School of Economics and Management, China University of Petroleum, Qingdao 266580, China)

  • Zeguo He

    (School of Economics and Management, China University of Petroleum, Qingdao 266580, China)

  • Lina Jiang

    (School of Economics and Management, China University of Petroleum, Qingdao 266580, China)

  • Zhicheng Liu

    (School of Economics and Management, China University of Petroleum, Qingdao 266580, China)

  • Xueli Leng

    (School of Economics and Management, China University of Petroleum, Qingdao 266580, China)

Abstract

In the era of internet connection and IOT, data-driven decision-making has become a new trend of decision-making and shows the characteristics of multi-granularity. Because three-way decision-making considers the uncertainty of decision-making for complex problems and the cost sensitivity of classification, it is becoming an important branch of modern decision-making. In practice, decision-making problems usually have the characteristics of hybrid multi-attributes, which can be expressed in the forms of real numbers, interval numbers, fuzzy numbers, intuitionistic fuzzy numbers and interval-valued intuitionistic fuzzy numbers (IVIFNs). Since other forms can be regarded as special forms of IVIFNs, transforming all forms into IVIFNs can minimize information distortion and effectively set expert weights and attribute weights. We propose a hybrid multi-attribute three-way group decision-making method and give detailed steps. Firstly, we transform all attribute values of each expert into IVIFNs. Secondly, we determine expert weights based on interval-valued intuitionistic fuzzy entropy and cross-entropy and use interval-valued intuitionistic fuzzy weighted average operator to obtain a group comprehensive evaluation matrix. Thirdly, we determine the weights of each attribute based on interval-valued intuitionistic fuzzy entropy and use the VIKOR method improved by grey correlation analysis to determine the conditional probability. Fourthly, based on the risk loss matrix expressed by IVIFNs, we use the optimization method to determine the decision threshold and give the classification rules of the three-way decisions. Finally, an example verifies the feasibility of the hybrid multi-attribute three-way group decision-making method, which provides a systematic and standard solution for this kind of decision-making problem.

Suggested Citation

  • Jiekun Song & Zeguo He & Lina Jiang & Zhicheng Liu & Xueli Leng, 2022. "Research on Hybrid Multi-Attribute Three-Way Group Decision Making Based on Improved VIKOR Model," Mathematics, MDPI, vol. 10(15), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2783-:d:881485
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    References listed on IDEAS

    as
    1. Liu, Hua-Wen & Wang, Guo-Jun, 2007. "Multi-criteria decision-making methods based on intuitionistic fuzzy sets," European Journal of Operational Research, Elsevier, vol. 179(1), pages 220-233, May.
    2. Grechuk, Bogdan & Zabarankin, Michael, 2018. "Direct data-based decision making under uncertainty," European Journal of Operational Research, Elsevier, vol. 267(1), pages 200-211.
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