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A Group Decision Framework with Intuitionistic Preference Relations and Its Application to Low Carbon Supplier Selection

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  • Xiayu Tong

    (School of Management, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Zhou-Jing Wang

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

Abstract

This article develops a group decision framework with intuitionistic preference relations. An approach is first devised to rectify an inconsistent intuitionistic preference relation to derive an additive consistent one. A new aggregation operator, the so-called induced intuitionistic ordered weighted averaging (IIOWA) operator, is proposed to aggregate individual intuitionistic fuzzy judgments. By using the mean absolute deviation between the original and rectified intuitionistic preference relations as an order inducing variable, the rectified consistent intuitionistic preference relations are aggregated into a collective preference relation. This treatment is presumably able to assign different weights to different decision-makers’ judgments based on the quality of their inputs (in terms of consistency of their original judgments). A solution procedure is then developed for tackling group decision problems with intuitionistic preference relations. A low carbon supplier selection case study is developed to illustrate how to apply the proposed decision model in practice.

Suggested Citation

  • Xiayu Tong & Zhou-Jing Wang, 2016. "A Group Decision Framework with Intuitionistic Preference Relations and Its Application to Low Carbon Supplier Selection," IJERPH, MDPI, vol. 13(9), pages 1-16, September.
    • Handle: RePEc:gam:jijerp:v:13:y:2016:i:9:p:923-:d:78416
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    References listed on IDEAS

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    1. Chao Lu & Jian-Xin You & Hu-Chen Liu & Ping Li, 2016. "Health-Care Waste Treatment Technology Selection Using the Interval 2-Tuple Induced TOPSIS Method," IJERPH, MDPI, vol. 13(6), pages 1-16, June.
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    5. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    6. Zhou-Jing Wang & Yuhong Wang & Kevin W. Li, 2016. "An Acceptable Consistency-Based Framework for Group Decision Making with Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 25(1), pages 181-202, January.
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    Cited by:

    1. Jun Liu & Xianbin Wu & Shouzhen Zeng & Tiejun Pan, 2017. "Intuitionistic Linguistic Multiple Attribute Decision-Making with Induced Aggregation Operator and Its Application to Low Carbon Supplier Selection," IJERPH, MDPI, vol. 14(12), pages 1-12, November.
    2. Ji Chen & Shouzhen Zeng & Chonghui Zhang, 2018. "An OWA Distance-Based, Single-Valued Neutrosophic Linguistic TOPSIS Approach for Green Supplier Evaluation and Selection in Low-Carbon Supply Chains," IJERPH, MDPI, vol. 15(7), pages 1-15, July.
    3. Hui Lin & Zhou-Jing Wang, 2017. "Linguistic Multi-Attribute Group Decision Making with Risk Preferences and Its Use in Low-Carbon Tourism Destination Selection," IJERPH, MDPI, vol. 14(9), pages 1-14, September.
    4. Xiao Tan & Zaiwu Gong & Minji Huang & Zhou-Jing Wang, 2017. "Selecting Cooking Methods to Decrease Persistent Organic Pollutant Concentrations in Food of Animal Origin Using a Consensus Decision-Making Model," IJERPH, MDPI, vol. 14(2), pages 1-18, February.
    5. Ping Lu & Xuan Yang & Zhou-Jing Wang, 2018. "Fuzzy Group Consensus Decision Making and Its Use in Selecting Energy-Saving and Low-Carbon Technology Schemes in Star Hotels," IJERPH, MDPI, vol. 15(9), pages 1-18, September.
    6. Lihong Wang & Zaiwu Gong, 2017. "Priority of a Hesitant Fuzzy Linguistic Preference Relation with a Normal Distribution in Meteorological Disaster Risk Assessment," IJERPH, MDPI, vol. 14(10), pages 1-16, October.
    7. Zaiwu Gong & Lihong Wang, 2017. "On Consistency Test Method of Expert Opinion in Ecological Security Assessment," IJERPH, MDPI, vol. 14(9), pages 1-18, September.

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