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Mathematical Problems in Engineering
Volume 2017, Article ID 9646303, 12 pages
Research Article

Risky Multicriteria Group Decision Making Based on Cloud Prospect Theory and Regret Feedback

1School of Economics and Management, Harbin Engineering University, No. 145, Nantong Street, Nangang District, Harbin 150001, China
2School of Computer Science and Technology, Harbin Institute of Technology, No. 92, Xidazhi Street, Nangang District, Harbin 150001, China
3College of Science, Harbin Engineering University, No. 145, Nantong Street, Nangang District, Harbin 150001, China

Correspondence should be addressed to Shuang Yao; moc.361@mainolla

Received 29 December 2016; Revised 12 April 2017; Accepted 26 April 2017; Published 25 May 2017

Academic Editor: M. L. R. Varela

Copyright © 2017 Yan Song et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The assessment of risky linguistic variables has significant applications in multiattribute group decision problems. This paper focuses on risky multicriteria group decision making using linguistic variable assessment and proposes a new model which considers various and differential psychological behavior and the ambiguity of linguistic variable assessment across multicriteria risks. Based on the cloud prospect value assessment, this paper proposes a cloud prospect value aggregation method and consensus degree measurement. An improved feedback adjustment mechanism based on regret theory is employed as the consistency model, which complements prospect theory. The three theoretical methods together constitute the core elements of the proposed CPD (cloud prospect value consensus degree decision) model. The feasibility and validity of the new decision making model are demonstrated with a numerical example, and feedback performance was compared with conventional direct feedback. The proposed CPD approach satisfies given consistency threshold of 0.95 and 0.98 after three and four feedback loops, respectively. Compared to the proposed CPD method, direct feedback approach needs seven and ten feedback loops under the same threshold, respectively, which shows that the proposed model increases efficiency and accuracy of group decision making and significantly reduces time cost.