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Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations

Author

Listed:
  • Feifei Jin

    (Anhui University
    Texas A&M University)

  • Zhiwei Ni

    (Hefei University of Technology)

  • Reza Langari

    (Texas A&M University)

  • Huayou Chen

    (Anhui University)

Abstract

The hesitant multiplicative elements (HMEs) are useful tool to address situations in which the decision makers (DMs) are hesitant about several possible multiplicative values. However, the occurring probabilities of the elements in the HME are equal, which is obviously unpractical. To cope with this issue, this paper introduces the concept of probabilistic multiplicative preference relations (PMPRs), in which the occurring possibilities of the elements are considered in probabilistic multiplicative elements (PMEs). Then, several additional concepts are presented, including order consistent PMPRs and consistent PMPRs. A linear optimization model is established to generate the optimal deviation values, which is followed by an approach for constructing consistent PMPRs. For the unacceptable consistent PMPRs, two decision-making methods are further designed to improve their consistency until the adjusted PMPRs are acceptable, including automatic iterative decision-making algorithm and interactive decision-making algorithm. Finally, a numerical example of selecting the desirable supplier is provided, and the comparison with existing approaches is performed to validate the rationality and effectiveness of the proposed algorithms.

Suggested Citation

  • Feifei Jin & Zhiwei Ni & Reza Langari & Huayou Chen, 2020. "Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations," Group Decision and Negotiation, Springer, vol. 29(2), pages 371-397, April.
    • Handle: RePEc:spr:grdene:v:29:y:2020:i:2:d:10.1007_s10726-020-09658-2
    DOI: 10.1007/s10726-020-09658-2
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    References listed on IDEAS

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    1. Zeshui Xu, 2005. "An Approach To Group Decision Making Based On Incomplete Linguistic Preference Relations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 153-160.
    2. Dominic Gastes & Wolfgang Gaul, 2012. "The Consistency Adjustment Problem of AHP Pairwise Comparison Matrices," Springer Books, in: Adamantios Diamantopoulos & Wolfgang Fritz & Lutz Hildebrandt (ed.), Quantitative Marketing and Marketing Management, edition 127, chapter 2, pages 51-62, Springer.
    3. Jun Ye, 2013. "Multiple Attribute Group Decision-Making Methods with Completely Unknown Weights in Intuitionistic Fuzzy Setting and Interval-Valued Intuitionistic Fuzzy Setting," Group Decision and Negotiation, Springer, vol. 22(2), pages 173-188, March.
    4. Wolfgang Gaul & Dominic Gastes, 2012. "A note on consistency improvements of AHP paired comparison data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 6(4), pages 289-302, December.
    5. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    6. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    7. Lidan Pei & Feifei Jin & Zhiwei Ni & Huayou Chen & Zhifu Tao, 2017. "An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2779-2793, October.
    8. Arunodaya Raj Mishra & Pratibha Rani, 2018. "Interval-Valued Intuitionistic Fuzzy WASPAS Method: Application in Reservoir Flood Control Management Policy," Group Decision and Negotiation, Springer, vol. 27(6), pages 1047-1078, December.
    9. 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.
    10. Saaty, Thomas L. & Vargas, Luis G., 1987. "Uncertainty and rank order in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 32(1), pages 107-117, October.
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    Cited by:

    1. Wenqi Liu & Hengjie Zhang & Haiming Liang & Cong-cong Li & Yucheng Dong, 2022. "Managing Consistency and Consensus Issues in Group Decision-Making with Self-Confident Additive Preference Relations and Without Feedback: A Nonlinear Optimization Method," Group Decision and Negotiation, Springer, vol. 31(1), pages 213-240, February.
    2. Cong-Cong Li & Yuan Gao & Yucheng Dong, 2023. "Managing Missing Preference Values Through Consistency and Consensus in Distributed Linguistic Preference Relations: A Two-stage Method Based on Personalized Individual Semantics," Group Decision and Negotiation, Springer, vol. 32(1), pages 125-146, February.
    3. Cong-Cong Li & Yuan Gao & Yucheng Dong, 2021. "Managing Ignorance Elements and Personalized Individual Semantics Under Incomplete Linguistic Distribution Context in Group Decision Making," Group Decision and Negotiation, Springer, vol. 30(1), pages 97-118, February.
    4. Feifei Jin & Jinpei Liu & Ligang Zhou & Luis Martínez, 2021. "Consensus-Based Linguistic Distribution Large-Scale Group Decision Making Using Statistical Inference and Regret Theory," Group Decision and Negotiation, Springer, vol. 30(4), pages 813-845, August.

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