Multi-attribute grey target decision method with three-parameter interval grey number
Abstract
Purpose
The purpose of this paper is to propose the grey target decision method based on three-parameter interval grey number for dealing with multi-attribute decision-making problems under uncertain environment.
Design/methodology/approach
First, the kernel and ranking method of three-parameter interval grey number are defined, which is the basis of determining the positive and negative bull’s-eye. Next, a new distance measure of three-parameter interval grey number is defined in view of the importance of the “center of gravity” point. Furthermore, a new comprehensive bull’s-eye distance is proposed based on the kernel which integrates the distance between different attributes to the positive and negative bull’s-eye. Then attribute weights are obtained by comprehensive bull’s-eye distance minimum and grey entropy maximization.
Findings
The paper provides a grey target decision method based on three-parameter interval grey number and example analysis shows that the method proposed in this paper is more reasonable and effective.
Research limitations/implications
If we have a better understanding of the distribution characteristics of three-parameter interval grey number, it is possible to have a more reasonable measure of the distance of three-parameter interval grey number.
Practical implications
The paper provides a grey target decision method, which can help decision maker deal with multi-attribute decision-making problems under uncertain environment.
Originality/value
This paper proposed the kernel and ranking method of three-parameter interval grey number, and defined a new distance measure of three-parameter interval grey number and proposed a new comprehensive bull’s-eye distance, Furthermore, this paper structured a grey target decision method based on three-parameter interval grey number.
Keywords
Acknowledgements
Conflict of interest: The authors declare that there is no conflict of interests regarding the publication of this paper.
The work was supported by the National Natural Science Foundation of China (Project No: 71271086) and the Foundation of Soft Science Project in Henan Province (Project No: 122400450013).
Citation
Li, Y., Zhu, S. and Guo, S.-d. (2016), "Multi-attribute grey target decision method with three-parameter interval grey number", Grey Systems: Theory and Application, Vol. 6 No. 2, pp. 270-280. https://doi.org/10.1108/GS-05-2016-0010
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited