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Nature Disaster Risk Evaluation with a Group Decision Making Method Based on Incomplete Hesitant Fuzzy Linguistic Preference Relations

Author

Listed:
  • Ming Tang

    (Business School, Sichuan University, Chengdu 610064, China)

  • Huchang Liao

    (Business School, Sichuan University, Chengdu 610064, China
    Department of Computer Science and Artificial Intelligence, University of Granada, E-18071 Granada, Spain)

  • Zongmin Li

    (Business School, Sichuan University, Chengdu 610064, China)

  • Zeshui Xu

    (Business School, Sichuan University, Chengdu 610064, China)

Abstract

Because the natural disaster system is a very comprehensive and large system, the disaster reduction scheme must rely on risk analysis. Experts’ knowledge and experiences play a critical role in disaster risk assessment. The hesitant fuzzy linguistic preference relation is an effective tool to express experts’ preference information when comparing pairwise alternatives. Owing to the lack of knowledge or a heavy workload, information may be missed in the hesitant fuzzy linguistic preference relation. Thus, an incomplete hesitant fuzzy linguistic preference relation is constructed. In this paper, we firstly discuss some properties of the additive consistent hesitant fuzzy linguistic preference relation. Next, the incomplete hesitant fuzzy linguistic preference relation, the normalized hesitant fuzzy linguistic preference relation, and the acceptable hesitant fuzzy linguistic preference relation are defined. Afterwards, three procedures to estimate the missing information are proposed. The first one deals with the situation in which there are only n − 1 known judgments involving all the alternatives; the second one is used to estimate the missing information of the hesitant fuzzy linguistic preference relation with more known judgments; while the third procedure is used to deal with ignorance situations in which there is at least one alternative with totally missing information. Furthermore, an algorithm for group decision making with incomplete hesitant fuzzy linguistic preference relations is given. Finally, we illustrate our model with a case study about flood disaster risk evaluation. A comparative analysis is presented to testify the advantage of our method.

Suggested Citation

  • Ming Tang & Huchang Liao & Zongmin Li & Zeshui Xu, 2018. "Nature Disaster Risk Evaluation with a Group Decision Making Method Based on Incomplete Hesitant Fuzzy Linguistic Preference Relations," IJERPH, MDPI, vol. 15(4), pages 1-21, April.
    • Handle: RePEc:gam:jijerp:v:15:y:2018:i:4:p:751-:d:141027
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    References listed on IDEAS

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    1. Wu, Zhibin & Xu, Jiuping, 2016. "Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations," Omega, Elsevier, vol. 65(C), pages 28-40.
    2. Hong-Liang Qi & Wei-Ping Tian & Jia-Chun Li, 2015. "Regional Risk Evaluation of Flood Disasters for the Trunk-Highway in Shaanxi, China," IJERPH, MDPI, vol. 12(11), pages 1-10, October.
    3. Heiko Apel & Annegret Thieken & Bruno Merz & Günter Blöschl, 2006. "A Probabilistic Modelling System for Assessing Flood Risks," 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. 38(1), pages 79-100, May.
    4. 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.
    5. Chengguang Lai & Xiaohong Chen & Xiaoyu Chen & Zhaoli Wang & Xushu Wu & Shiwei Zhao, 2015. "A fuzzy comprehensive evaluation model for flood risk based on the combination weight of game theory," 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. 77(2), pages 1243-1259, June.
    6. Jim Hall & Paul Sayers & Richard Dawson, 2005. "National-scale Assessment of Current and Future Flood Risk in England and Wales," 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. 36(1), pages 147-164, September.
    7. S. Alonso & E. Herrera-Viedma & F. Chiclana & F. Herrera, 2009. "Individual And Social Strategies To Deal With Ignorance Situations In Multi-Person Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 313-333.
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    Cited by:

    1. Runtong Zhang & Yuping Xing & Jun Wang & Xiaopu Shang & Xiaomin Zhu, 2018. "A Novel Multiattribute Decision-Making Method Based on Point–Choquet Aggregation Operators and Its Application in Supporting the Hierarchical Medical Treatment System in China," IJERPH, MDPI, vol. 15(8), pages 1-29, August.
    2. 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.

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