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A Grey Incidence Based Group Decision-Making Approach and Its Application

Author

Listed:
  • Huanhuan Zhao

    (School of Management, Wuxi Institute of Technology, Wuxi 214121, China)

  • Yunbo Yu

    (School of Management, Wuxi Institute of Technology, Wuxi 214121, China)

  • Sunping Qu

    (School of Management, Wuxi Institute of Technology, Wuxi 214121, China)

  • Yong Liu

    (School of Business, Jiangnan University, Wuxi 214121, China)

Abstract

We define the group measure matrix of the alternative scheme and the ideal scheme based on the relevant factor sequence and the system characteristic behavior sequence. Furthermore, the information distances of decision makers and decision criteria are defined, respectively. According to the information distance, we obtain each scheme’s grey matrix incidence degree for the scheme ranking. Finally, we use an example to verify the rationality of the model and compare it with other classic methods, such as TOPSIS, VIKOR, MULTI-MOORA. Compared with previous grey incidence analysis model, the proposed model can make full use of information of the decision-maker dimension and the criteria dimension. The proposed model can avoid high-dimensional information loss. The results show that the proposed method has superiority in measuring decision-maker information and decision-making standard information.

Suggested Citation

  • Huanhuan Zhao & Yunbo Yu & Sunping Qu & Yong Liu, 2022. "A Grey Incidence Based Group Decision-Making Approach and Its Application," Mathematics, MDPI, vol. 10(7), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1034-:d:778295
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    References listed on IDEAS

    as
    1. Hassan Hashemi & Seyed Meysam Mousavi & Edmundas Kazimieras Zavadskas & Alireza Chalekaee & Zenonas Turskis, 2018. "A New Group Decision Model Based on Grey-Intuitionistic Fuzzy-ELECTRE and VIKOR for Contractor Assessment Problem," Sustainability, MDPI, vol. 10(5), pages 1-19, May.
    2. Shivani Guru & D. K. Mahalik, 2019. "A comparative study on performance measurement of Indian public sector banks using AHP-TOPSIS and AHP-grey relational analysis," OPSEARCH, Springer;Operational Research Society of India, vol. 56(4), pages 1213-1239, December.
    3. Ikram, M. & Sroufe, Robert & Rehman, E. & Shah, S.Z.A. & Mahmoudi, A., 2020. "Do Quality, Environmental, and Social (QES) Certifications Improve International Trade? A Comparative Grey Relation Analysis of Developing vs. Developed Countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
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