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A VIKOR-Based Linguistic Multi-Attribute Group Decision-Making Model in a Quantum Decision Scenario

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  • Jingmei Xiao

    (Research Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Mei Cai

    (Research Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
    Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters (CIC-FEMD), Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Yu Gao

    (Research Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China)

Abstract

Quantum decision theory has been successfully applied to multi-attribute group decision-making (MAGDM) to model decision-makers’ interference and superposition effects in recent years. Existing quantum models assume that interference effects among decision-makers are symmetric. However, asymmetric interference effects have been ignored. We propose a VIKOR-based linguistic distribution assessments (LDAs) model considering asymmetric interference effects in a quantum decision scenario. Firstly, we combine VIKOR with LDAs to obtain a compromise solution in a fuzzy multi-attribute decision scenario with conflicting attributes. Secondly, an aggregation framework based on quantum probability theory is constructed to explore group preferences considering asymmetric interference effects among decision-makers. Finally, the model is compared with other methods to confirm its validity and stability.

Suggested Citation

  • Jingmei Xiao & Mei Cai & Yu Gao, 2022. "A VIKOR-Based Linguistic Multi-Attribute Group Decision-Making Model in a Quantum Decision Scenario," Mathematics, MDPI, vol. 10(13), pages 1-23, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2236-:d:848087
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    References listed on IDEAS

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    1. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2007. "Extended VIKOR method in comparison with outranking methods," European Journal of Operational Research, Elsevier, vol. 178(2), pages 514-529, April.
    2. Yu, Jiangbo Gabriel & Jayakrishnan, R., 2018. "A quantum cognition model for bridging stated and revealed preference," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 263-280.
    3. Huang, Jia & Li, Zhaojun(Steven) & Liu, Hu-Chen, 2017. "New approach for failure mode and effect analysis using linguistic distribution assessments and TODIM method," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 302-309.
    4. Jérôme Busemeyer & Ariane Lambert-Mogiliansky & Zheng Wang, 2009. "Empirical Comparison of Markov and Quantum models of decision-making," PSE-Ecole d'économie de Paris (Postprint) halshs-00754332, HAL.
    5. Lipovetsky, Stan, 2018. "Quantum paradigm of probability amplitude and complex utility in entangled discrete choice modeling," Journal of choice modelling, Elsevier, vol. 27(C), pages 62-73.
    6. Qin, Jindong & Liu, Xinwang & Pedrycz, Witold, 2017. "An extended TODIM multi-criteria group decision making method for green supplier selection in interval type-2 fuzzy environment," European Journal of Operational Research, Elsevier, vol. 258(2), pages 626-638.
    7. Eichberger, Jürgen & Pirner, Hans Jürgen, 2018. "Decision theory with a state of mind represented by an element of a Hilbert space: The Ellsberg paradox," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 131-141.
    8. V. I. Yukalov & D. Sornette, 2014. "Manipulating decision making of typical agents," Papers 1409.0636, arXiv.org.
    9. Huang, Zhiming & Yang, Lin & Jiang, Wen, 2019. "Uncertainty measurement with belief entropy on the interference effect in the quantum-like Bayesian Networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 417-428.
    10. Jérôme Busemeyer & Ariane Lambert-Mogiliansky & Zheng Wang, 2009. "Empirical Comparison of Markov and Quantum models of decision-making," Post-Print halshs-00754332, HAL.
    11. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2004. "Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS," European Journal of Operational Research, Elsevier, vol. 156(2), pages 445-455, July.
    12. Basieva, Irina & Khrennikova, Polina & Pothos, Emmanuel M. & Asano, Masanari & Khrennikov, Andrei, 2018. "Quantum-like model of subjective expected utility," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 150-162.
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