The multiple attribute decision model of grey targets based on grey potential degree
Abstract
Purpose
Grey target decision making is one of the important problems of decision-making theory. It is critical to express uncertain information effectively and depose them in a reasonable and simple way. The purpose of this paper is to solve the grey target problem by the grey potential degree method without whiten value and without distribution function. Furthermore, this new approach has an advantage of realizing both comparing and standardization work during the process of treating the data.
Design/methodology/approach
First, this paper makes a brief overview of the existing method for grey target decision. Then, the conception of a grey potential degree system is introduced and the conception of standard grey potential degree is build up, and a new grey potential-based method based on the grey target multiple attribute decision method is proposed. At the same time, the standard grey potential and its application in multiple resource data are studied.
Findings
At the same time the standard grey potential and its application in multiple resource data are studied. Standard grey potential is presented by means of three examples together with the comparison with the existing method to demonstrate that the grey potential-based method could be used to solve the problem of grey target decision conveniently and effectively.
Originality/value
It is very important to compare grey numbers to obtain scientific and reasonable results for a grey target decision-making problem. However, in the actual application of grey numbers, it is difficult to find out the probability density function or the whiten function of grey numbers. When grey numbers are compared and deposed through the whiten value, much information regarding grey numbers will be lost and, at the same time, the value of grey numbers in uncertainty is partly lost. The method discussed in this paper is reasonable and feasible.
Keywords
Acknowledgements
The authors sincerely express their heartfelt thanks to Dr Chaoqing Yuan, Zhengxin Wang and Xiaofeng Xu for their valuable comments and suggestions. The research fort this paper has been supported by Zhejiang Provincial Natural Science Foundation Project (No. LY14G010005). The research is also partly supported by the Foundation Project (No. 16JDGH097) of the Key Research Base of Philosophy and Social Sciences in Zhejiang Province (Wenzhounese Economy Research Institute).
Citation
Ruan, A. and Wang, Y. (2017), "The multiple attribute decision model of grey targets based on grey potential degree", Grey Systems: Theory and Application, Vol. 7 No. 3, pp. 365-375. https://doi.org/10.1108/GS-07-2017-0021
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited