Dynamic multi-attribute decision-making method with three-parameter interval grey number based on the prospect theory
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 4 September 2018
Issue publication date: 24 September 2018
Abstract
Purpose
The purpose of this paper is to propose a dynamic multi-attribute decision-making method based on the prospect theory for dealing with the dynamic multi-attribute decision-making problem with three-parameter interval grey number.
Design/methodology/approach
First, the kernel and comparison rule of three-parameter interval grey numbers are defined, which are the basis of collecting and sorting grey numbers. Next, the prospect value function is determined in view of the decision-making information with different time points as the reference points. Then, an optimal model for solving the attribute weight and time weight is constructed based on the grey entropy principle.
Findings
The paper provides a dynamic grey interrelation decision method based on the prospect theory with three-parameter interval grey number, and the example analysis shows that the method proposed in this paper has validity and rationality.
Research limitations/implications
If we have a better understanding of the weights of different reference points, it is possible to receive a more reasonable expression for the comprehensive prospect utility value function.
Practical implications
The paper provides a grey interrelation decision method based on the prospect theory, which can help the decision maker deal with the dynamic multi-attribute decision-making problems under the uncertain environment.
Originality/value
The paper proposes the kernel and ranking method of three-parameter interval grey number, and uses different time points as the reference points to define the prospect value function. Furthermore, this paper structures a dynamic grey interrelation decision method with three-parameter interval grey number based on the prospect theory.
Keywords
Acknowledgements
This work is partially funded by Henan Province Soft Science Research Plan Project (182400410375).
Citation
Li, Y. and Zhang, D. (2018), "Dynamic multi-attribute decision-making method with three-parameter interval grey number based on the prospect theory", Grey Systems: Theory and Application, Vol. 8 No. 4, pp. 424-435. https://doi.org/10.1108/GS-05-2018-0021
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited