Grey variable dual precision rough set model and its application
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 18 March 2021
Issue publication date: 3 January 2022
Abstract
Purpose
The purpose of this paper is to advance a novel grey variable dual precision rough set model for grey concept.
Design/methodology/approach
To obtain the approximation of a grey object, the authors first define the concepts of grey rough membership degree and grey degree of approximation on the basic thinking logic of variable precision rough set. Based on grey rough membership degree and grey degree of approximation, the authors proposed a grey variable dual precision rough set model. It uses a clear knowledge concept to approximate a grey concept, and the output result is also a clear concept.
Findings
The result demonstrates that the proposed model may be closer to the actual decision-making situation, can effectively improve the rationality and scientificity of the approximation and reduce the risk of decision-making. It can effectively achieve the whitenization of grey objects. The model can be degenerated to traditional variable precision rough fuzzy set model, variable precision rough set model and classic Pawlak rough set, when some specific conditions are met.
Practical implications
The method exposed in the paper can be used to solve multi-criteria decision problems with grey decision objects and provide a decision rule. It can also help us better realize knowledge discovery and attribute reduction. It can effectively achieve the whitenization of grey object.
Originality/value
This method proposed in this paper implements a rough approximation of grey decision object and obtains low-risk probabilistic decision rule. It can effectively achieve a certain degree of whitenization of some grey objects.
Keywords
Acknowledgements
The authors would like to thank the Editor-in-Chief and the anonymous reviewers for their insightful and constructive comments that have led to an improved version of this paper. This work was supported by the projects of the National Natural Science Foundation of China (72071111, 71801127 and 71671091). It is also supported by a joint project of both the NSFC and the RS of the UK (71811530338). At the same time, the authors would like to acknowledge the partial support of the Special postdoctoral fund of China (2019TQ0150), the Fundamental Research Funds for the Central Universities of China (NC2019003) and support of a project of Intelligence Introduction Base of the Ministry of Science and Technology (G20190010178).
Citation
Du, J., Liu, S. and Liu, Y. (2022), "Grey variable dual precision rough set model and its application", Grey Systems: Theory and Application, Vol. 12 No. 1, pp. 156-173. https://doi.org/10.1108/GS-11-2020-0141
Publisher
:Emerald Publishing Limited
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