Relational analysis model and its application for general grey number panel data

To solve the problem of inconsistent grey relational order caused by the index order transformation of general grey number panel data, a grey centroid triangular surface relational analysis model is built. Firstly, based on the permutation and combination principle, the sample matrix is decomposed into binary index submatrices, and the kernel and upper and lower bounds of the general grey number elements of the sample matrix are given. Secondly, the center of gravity of the geometry determined by the upper and lower bounds of the adjacent four points of the binary index submatrix is given, and the spatial center of gravity triangle surface composed of the kernel and the center of gravity is determined. Then, based on the volume of the cylinder with the triangular surface of the spatial center of gravity as the curved top, the relational coefficient formula is constructed, and the grey relational analysis model of the general grey number panel data is obtained. Finally, the proposed model is applied to the selection problem of complex equipment suppliers to verify its rationality and effectiveness. © 2023 Chinese Institute of Electronics. All rights reserved.