Grey relational decision making model of three-parameter interval grey number based on AHP and DEA
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 23 September 2019
Issue publication date: 14 January 2020
Abstract
Purpose
The purpose of this paper is to put forward the grey relational decision-making model of three-parameter interval grey number based on Analytic Hierarchy Process (AHP) and Data Envelopment Analysis (DEA), based on the previous study of grey relational decision-making model, and it considers the advantages of the decision-making schemes and the subjective preferences of decision makers.
Design/methodology/approach
First of all, through AHP, the preference of each index is analyzed and the index weight is determined. Second, the DEA model is adopted to obtain the index weight from the perspective of the most beneficial to each scheme and objectively reflect the advantages of different schemes. Then, assign the comprehensive weights to each index of the grey relational decision-making model of three-parameter interval grey number, and calculate the grey relation degree of each scheme to rank the schemes.
Findings
The effectiveness of the model is proved by an example of carrier aircraft selection.
Practical implications
The applicability of this model is analyzed by taking carrier aircraft selection as an example. In fact, this model can also be widely used in agriculture, industry, economy, society and other fields.
Originality/value
In this paper, the combination of AHP and DEA is used to determine the index weight. Based on which, the grey relation degree under the three-parameter interval grey number is calculated. It intended the application space of the grey relational decision-making model.
Keywords
Acknowledgements
The work is supported by the Soft-science Foundation of Henan Province (172400410015), and the Philosophy and Social Program of Henan Province (2016BJJ022).
Citation
Li, B. and Zhu, X. (2020), "Grey relational decision making model of three-parameter interval grey number based on AHP and DEA", Grey Systems: Theory and Application, Vol. 10 No. 1, pp. 25-37. https://doi.org/10.1108/GS-10-2018-0049
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited