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Multiple Group Decision Making for Selecting Emergency Alternatives: A Novel Method Based on the LDWPA Operator and LD-MABAC

Author

Listed:
  • Xia Liang

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China)

  • Fei Teng

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China)

  • Yan Sun

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China)

Abstract

When an emergency event occurs, it is critical to respond in the shortest possible time. Therefore, the rationality and effectiveness of emergency decisions are the key links in emergency management. In this paper, with aims to investigate the problem of emergency alternatives selection, in which a large number of experts from multiple groups consider the linguistic evaluations of emergency alternatives and prior orders of criteria, a novel emergency decision method is proposed. First, many experts from multiple subgroups are employed to evaluate the emergency alternatives associated with multiple criteria in the format of linguistic terms. Then, linguistic distribution evaluations for the emergency alternatives of the criteria associated with each subgroup are constructed. With respect to the linguistic distribution evaluations associated with the different subgroups, the linguistic distribution power average (LDPA) and linguistic distribution weighted power average (LDWPA) operators are developed so as to aggregate the subgroups’ evaluations. Next, based on the linguistic distribution multi-attributive border approximation area comparison (LD-MABAC) method, the distance matrix of the emergency alternatives is calculated. Furthermore, the prior weights of the criteria are determined based on the distance values. Finally, the ranking result of the emergency alternatives is derived. A practical example of emergency alternatives selection is adopted to illustrate the availability and practicability of the proposed method.

Suggested Citation

  • Xia Liang & Fei Teng & Yan Sun, 2020. "Multiple Group Decision Making for Selecting Emergency Alternatives: A Novel Method Based on the LDWPA Operator and LD-MABAC," IJERPH, MDPI, vol. 17(8), pages 1-20, April.
  • Handle: RePEc:gam:jijerp:v:17:y:2020:i:8:p:2945-:d:349755
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    References listed on IDEAS

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    1. Yanbing Ju & Aihua Wang & Tianhui You, 2015. "Emergency alternative evaluation and selection based on ANP, DEMATEL, and TL-TOPSIS," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(2), pages 347-379, February.
    2. Xuanhua Xu & Yanxia Huang & Ke Chen, 2019. "Method for large group emergency decision making with complex preferences based on emergency similarity and interval consistency," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 97(1), pages 45-64, May.
    3. Xia Liu & Yejun Xu & Yao Ge & Weike Zhang & Francisco Herrera, 2019. "A Group Decision Making Approach Considering Self-Confidence Behaviors and Its Application in Environmental Pollution Emergency Management," IJERPH, MDPI, vol. 16(3), pages 1-15, January.
    4. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
    5. Tamura, Hiroyuki & Yamamoto, Kouji & Tomiyama, Shinji & Hatono, Itsuo, 2000. "Modeling and analysis of decision making problem for mitigating natural disaster risks," European Journal of Operational Research, Elsevier, vol. 122(2), pages 461-468, April.
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