IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v13y2016i9p923-d78416.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/13/9/923/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1660-4601/13/9/923/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    2. Jian-qiang Wang & Zhi-qiu Han & Hong-yu Zhang, 2014. "Multi-criteria Group Decision-Making Method Based on Intuitionistic Interval Fuzzy Information," Group Decision and Negotiation, Springer, vol. 23(4), pages 715-733, July.
    3. 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.
    4. 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.
    5. Zeshui Xu, 2013. "Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(3), pages 463-482, May.
    6. Theißen, Sebastian & Spinler, Stefan, 2014. "Strategic analysis of manufacturer-supplier partnerships: An ANP model for collaborative CO2 reduction management," European Journal of Operational Research, Elsevier, vol. 233(2), pages 383-397.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Zhen Zhang & Chonghui Guo, 2017. "Deriving priority weights from intuitionistic multiplicative preference relations under group decision-making settings," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1582-1599, December.
    3. Jian Wu, 2016. "Consistency in MCGDM Problems with Intuitionistic Fuzzy Preference Relations Based on an Exponential Score Function," Group Decision and Negotiation, Springer, vol. 25(2), pages 399-420, March.
    4. Jinpei Liu & Jingmiao Song & Qin Xu & Zhifu Tao & Huayou Chen, 2019. "Group decision making based on DEA cross-efficiency with intuitionistic fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 18(3), pages 345-370, September.
    5. Jia-Wei Tang & Tsuen-Ho Hsu, 2018. "Utilizing the Hierarchy Structural Fuzzy Analytical Network Process Model to Evaluate Critical Elements of Marketing Strategic Alliance Development in Mobile Telecommunication Industry," Group Decision and Negotiation, Springer, vol. 27(2), pages 251-284, April.
    6. Bice Cavallo, 2019. "Coherent weights for pairwise comparison matrices and a mixed-integer linear programming problem," Journal of Global Optimization, Springer, vol. 75(1), pages 143-161, September.
    7. Pushparenu Bhattacharjee & Syed Abou Iltaf Hussain & V. Dey & U. K. Mandal, 2023. "Failure mode and effects analysis for submersible pump component using proportionate risk assessment model: a case study in the power plant of Agartala," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1778-1798, October.
    8. Paul Tae-Woo Lee & Cheng-Wei Lin & Yi-Shih Chung, 2014. "Comparison analysis for subjective and objective weights of financial positions of container shipping companies," Maritime Policy & Management, Taylor & Francis Journals, vol. 41(3), pages 241-250, May.
    9. Fuduric, Nikolina, 2020. "The Sustainable Marketing Canvas - A New Decision-Making Tool," Marketing Review St.Gallen, Universität St.Gallen, Institut für Marketing und Customer Insight, vol. 37(4), pages 50-57.
    10. Llamazares, Bonifacio & Pérez-Asurmendi, Patrizia, 2013. "Triple-acyclicity in majorities based on difference in support," MPRA Paper 52218, University Library of Munich, Germany.
    11. Fujun Hou, 2015. "A Consensus Gap Indicator and Its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(3), pages 415-428, May.
    12. Luiz Fernando Rodrigues Pinto & Glória de Fátima Pereira Venturini & Salvatore Digiesi & Francesco Facchini & Geraldo Cardoso de Oliveira Neto, 2020. "Sustainability Assessment in Manufacturing under a Strong Sustainability Perspective—An Ecological Neutrality Initiative," Sustainability, MDPI, vol. 12(21), pages 1-40, November.
    13. Fu, Chao & Yang, Shanlin, 2012. "An evidential reasoning based consensus model for multiple attribute group decision analysis problems with interval-valued group consensus requirements," European Journal of Operational Research, Elsevier, vol. 223(1), pages 167-176.
    14. Olga Porro & Francesc Pardo-Bosch & Núria Agell & Mónica Sánchez, 2020. "Understanding Location Decisions of Energy Multinational Enterprises within the European Smart Cities’ Context: An Integrated AHP and Extended Fuzzy Linguistic TOPSIS Method," Energies, MDPI, vol. 13(10), pages 1-29, May.
    15. Ehsan Afshar Bakeshlou & Alireza Arshadi Khamseh & Mohammad Ali Goudarzian Asl & Javad Sadeghi & Mostafa Abbaszadeh, 2017. "Evaluating a green supplier selection problem using a hybrid MODM algorithm," Journal of Intelligent Manufacturing, Springer, vol. 28(4), pages 913-927, April.
    16. Wang, Ying-Ming & Parkan, Celik, 2008. "Optimal aggregation of fuzzy preference relations with an application to broadband internet service selection," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1476-1486, June.
    17. Tsuen-Ho Hsu & Ling-Zhong Lin, 2021. "A Multidimensional Fuzzy Quality Function Deployment Design for Brand Experience Assessment of Convenience Stores," Mathematics, MDPI, vol. 9(20), pages 1-24, October.
    18. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    19. Busu Mihail & Stamule Stere, 2020. "An ANP approach to estimate the market shares of the car industry companies in Romania," Proceedings of the International Conference on Business Excellence, Sciendo, vol. 14(1), pages 953-962, July.
    20. Xiaohui Huang & Juan He & Lin Mao, 2024. "Carbon Reduction Incentives under Multi-Market Interactions: Supply Chain Vertical Cooperation Perspective," Mathematics, MDPI, vol. 12(4), pages 1-24, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jijerp:v:13:y:2016:i:9:p:923-:d:78416. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.