An extended prospect theory–VIKOR approach for emergency decision making with 2-dimension uncertain linguistic information

  • Xu-Feng Ding
  • Hu-Chen LiuEmail author
Methodologies and Application


Emergency situations often require high-quality decisions which have to be made within a short period of time. An emergency event is often complex and can cause huge loss of lives and property if a wrong decision is made. Therefore, emergency decision making (EDM) has become a very high-profile research topic in recent years. In this paper, a new integrated approach based on prospect theory and VIKOR (VIsekriterijumska optimizacija i KOm-promisno Resenje), called linguistic PT-VIKOR, is proposed for solving the EDM problems with 2-dimension uncertain linguistic information. First, the preference information and the weights of criteria provided by experts for all statuses are expressed in the form of 2-dimension uncertain linguistic variables (2DULVs). Then, the individual experts’ opinions of each status are aggregated into a group decision matrix according to the aggregation operators of 2DULVs. Next, the group decision matrices of all statuses are transformed into a prospect decision matrix on the basis of the prospect theory, and the VIKOR technique is applied to rank the alternative solutions. Finally, the feasibility and practicability of the proposed linguistic PT-VIKOR approach is illustrated by an illustrate example and a comparative analysis.


Emergency decision making Prospect theory 2-Dimension uncertain linguistic variable (2DULV) VIKOR method 



The authors are very grateful to the respected editor and the anonymous referees for their insightful and constructive comments, which helped to improve the overall quality of the paper. This work was partially supported by the National Natural Science Foundation of China (Nos. 71502098, 61773250 and 71671125) and the Humanities and Social Sciences Research Project of Ministry of Education of China (No. 13YJC630023).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of ManagementShanghai UniversityShanghaiPeople’s Republic of China
  2. 2.College of Economics and ManagementChina Jiliang UniversityHangzhouPeople’s Republic of China
  3. 3.School of Economics and ManagementTongji UniversityShanghaiPeople’s Republic of China

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