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The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables

Author

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  • Kedong Yin

    (School of Economics, Ocean University of China, Qingdao 266100, China
    Ocean Development Research Institute, Major Research Base of Humanities and Social Sciences of Ministry of Education, Ocean University of China, Qingdao 266100, China)

  • Pengyu Wang

    (School of Economics, Ocean University of China, Qingdao 266100, China)

  • Xuemei Li

    (School of Economics, Ocean University of China, Qingdao 266100, China
    Ocean Development Research Institute, Major Research Base of Humanities and Social Sciences of Ministry of Education, Ocean University of China, Qingdao 266100, China)

Abstract

With respect to multi-attribute group decision-making (MAGDM) problems, where attribute values take the form of interval grey trapezoid fuzzy linguistic variables (IGTFLVs) and the weights (including expert and attribute weight) are unknown, improved grey relational MAGDM methods are proposed. First, the concept of IGTFLV, the operational rules, the distance between IGTFLVs, and the projection formula between the two IGTFLV vectors are defined. Second, the expert weights are determined by using the maximum proximity method based on the projection values between the IGTFLV vectors. The attribute weights are determined by the maximum deviation method and the priorities of alternatives are determined by improved grey relational analysis. Finally, an example is given to prove the effectiveness of the proposed method and the flexibility of IGTFLV.

Suggested Citation

  • Kedong Yin & Pengyu Wang & Xuemei Li, 2017. "The Multi-Attribute Group Decision-Making Method Based on Interval Grey Trapezoid Fuzzy Linguistic Variables," IJERPH, MDPI, vol. 14(12), pages 1-16, December.
    • Handle: RePEc:gam:jijerp:v:14:y:2017:i:12:p:1561-:d:122793
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    References listed on IDEAS

    as
    1. Zu-Jun Ma & Nian Zhang & Ying Dai, 2013. "Some Induced Correlated Aggregating Operators with Interval Grey Uncertain Linguistic Information and Their Application to Multiple Attribute Group Decision Making," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, February.
    2. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
    3. Kedong Yin & Ya Zhang & Xuemei Li, 2017. "Research on Storm-Tide Disaster Losses in China Using a New Grey Relational Analysis Model with the Dispersion of Panel Data," IJERPH, MDPI, vol. 14(11), pages 1-18, November.
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    Cited by:

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    2. Huifang Sun & Yaoguo Dang & Wenxin Mao, 2018. "A Decision-Making Method with Grey Multi-Source Heterogeneous Data and Its Application in Green Supplier Selection," IJERPH, MDPI, vol. 15(3), pages 1-24, March.
    3. Zheng-Xin Wang & Dan-Dan Li & Hong-Hao Zheng, 2018. "The External Performance Appraisal of China Energy Regulation: An Empirical Study Using a TOPSIS Method Based on Entropy Weight and Mahalanobis Distance," IJERPH, MDPI, vol. 15(2), pages 1-18, January.

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