Grey relational decision making model of three-parameter interval grey number based on AHP and DEA. Issue 1 (10th September 2019)

• Record Type: Journal Article
• Authors: Li, Bingjun; Zhu, Xiaoxiao
• Is Part Of: Grey systems. Volume 10:Issue 1(2020)
• Page Start: 25
• Page End: 37
• Publication Date: 2019-09-10
• Subjects: Grey relational decision -- Three-parameter interval grey number -- AHP -- DEA; Cybernetics -- Periodicals; Systems engineering -- Periodicals; 003.5
• DOI: 10.1108/GS-10-2018-0049
• Languages: English
• ISSNs: 2043-9377

Abstract

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.