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Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area

Author

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  • Wanying Xie

    (School of Economics and Management, Southeast University, Nanjing 211189, P. R. China)

  • Zeshui Xu

    (School of Economics and Management, Southeast University, Nanjing 211189, P. R. China2Business School, Sichuan University, Chengdu 610064, P. R. China)

  • Zhiliang Ren

    (School of Economics and Management, Southeast University, Nanjing 211189, P. R. China)

  • Hai Wang

    (School of Economics and Management, Southeast University, Nanjing 211189, P. R. China)

Abstract

Analytic Hierarchy Process (AHP) is one of the most favorable decision tools for dealing with complex decision-making problems. Probabilistic linguistic term set (PLTS) is an up-to-date tool to deal with uncertain information in the decision-making process. In this paper, we extend the AHP to the probabilistic linguistic environment for perfecting the modeling ability of AHP in various decision-making problems. In order to apply the PLTSs to the AHP properly, we first redefine the probabilistic linguistic comparison matrix (PLCM) and propose a new consistency index. Then, we propose a new approach to check and improve the consistency of the PLCMs. After that, we aggregate the individual PLCMs into the collective PLCM and derive the priorities of the collective PLCM. Finally, we combine the priorities with the decision matrix to complete the ranking of alternatives, and a case concerning the performance assessments of three new areas is given and the comparative analysis about the results is performed to demonstrate the feasibility of the proposed method.

Suggested Citation

  • Wanying Xie & Zeshui Xu & Zhiliang Ren & Hai Wang, 2018. "Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1693-1724, November.
    • Handle: RePEc:wsi:ijitdm:v:17:y:2018:i:06:n:s0219622017500420
    DOI: 10.1142/S0219622017500420
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    References listed on IDEAS

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    2. Tian Yang & Changhao Liu & Raymond P. Côté & Jinwen Ye & Weifeng Liu, 2022. "Evaluating the Barriers to Industrial Symbiosis Using a Group AHP-TOPSIS Model," Sustainability, MDPI, vol. 14(11), pages 1-30, June.
    3. Yinfeng Du & Dun Liu, 2021. "A novel approach to relative importance ratings of customer requirements in QFD based on probabilistic linguistic preferences," Fuzzy Optimization and Decision Making, Springer, vol. 20(3), pages 365-395, September.
    4. Huchang Liao & Xiaomei Mi & Zeshui Xu, 2020. "A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions," Fuzzy Optimization and Decision Making, Springer, vol. 19(1), pages 81-134, March.

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