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Emergency Alternative Evaluation Using Extended Trapezoidal Intuitionistic Fuzzy Thermodynamic Approach with Prospect Theory

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Abstract

Emergency alternative evaluation (EAE) is crucial to improve emergency management performance, which is considered an important factor in achieving sustainable development. This paper proposes an integrated fuzzy method to deal with the EAE problem. The existence of information uncertainties and decision-makers (DMs) psychological behavior are considered due to the complexity of emergency environments. By utilizing trapezoidal intuitionistic fuzzy numbers to depict the fuzziness and uncertainty of information, prospect theory is developed to portray DMs’ heterogeneous psychological behavior and convert the initial decision matrixes into decision prospect matrixes. A thermodynamic approach that comprises operations on entropy, energy, and exergy is introduced to maximize the use of decision-making information, determine each criterion weight value, and assess information quantity and quality. Trapezoidal intuitionistic fuzzy Choquet integral operator and weighted averaging operator are presented to integrate the overall prospect value of each alternative. A score function with risk attitudinal parameter of DMs is introduced to obtain the final ranking order of the alternatives. A multi-step framework and solution procedure is then presented, and an illustrative case study is followed to investigate the EAE problem by selecting a provincial highway department in China, which confirms the practicability of our proposed solution approach.

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Acknowledgements

The authors thank the Transportation Management Department in Chongqing City for providing valuable material and data for the case study. This research is supported by National Natural Science Foundation of China (Project Nos. 71871035, 71471024) and Humanity and Social Science Youth Foundation of Ministry of Education of China (Project No. 18YJC630189).

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Authors and Affiliations

  1. School of Economics and Management, Chongqing Jiaotong University, Chongqing, 400074, China

    Yong Liu, Yong Wang, Maozeng Xu & Guangcan Xu

  2. School of Management and Economics, University of Electronic Science and Technology, Chengdu, 610054, China

    Yong Wang

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  1. Yong Liu
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Correspondence to Yong Wang or Maozeng Xu.

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Liu, Y., Wang, Y., Xu, M. et al. Emergency Alternative Evaluation Using Extended Trapezoidal Intuitionistic Fuzzy Thermodynamic Approach with Prospect Theory. Int. J. Fuzzy Syst. 21, 1801–1817 (2019). https://doi.org/10.1007/s40815-019-00682-2

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  • DOI: https://doi.org/10.1007/s40815-019-00682-2

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