Analytic Hierarchy Process
https://blog.csdn.net/k_koris/article/details/86522800?utm_medium=distribute.pc_relevant.none-task-blog-OPENSEARCH-10.control&depth_1-utm_source=distribute.pc_relevant.none-task-blog-OPENSEARCH-10.control
Grey relational analysis process and code realization
- For the factors between two systems, the measure of the degree of relevance that varies with time or different objects is called the degree of relevance. In the process of system development, if the changing trends of the two factors are consistent, that is, the degree of synchronous change is higher, it can be said that the two factors have a higher degree of correlation; on the contrary, it is lower. Therefore, the gray correlation analysis method is based on the degree of similarity or difference in the development trend between factors, that is, the "grey correlation degree", as a method to measure the degree of correlation between factors.
Implementation steps
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Dimensionless processing of the number sequence
Because the dimensions of the original data indicators are different, a unified dimensionless data processing is carried out to make them comparable. That is: if the
sequence x=(x(1),x(2),...,x(n)), then the mapping f: x→y
f(x(k))= y(k), k=1, 2,...,n
is the data transformation from sequence x to sequence y.
Benefit-based initial value: f(x(k))=x(k)/x(1) = y(k), x(1)≠0
Cost-based initial value: f(x(k))=x (1)/x(k) = y(k), x(1)≠0 -
Find the gray correlation coefficient ξ_i (k)
Select the reference sequence
x_0={x_0 (k)│k=1,2,……,n}=(x_0 (1)