Mathematical modeling study notes (B station Xiaoshi blog) Analytic Hierarchy Process

Note: It is not just one algorithm in the whole article, use one algorithm to solve a small part of the problem, and use other algorithms in other places.

 

1. Analytic Hierarchy Process

How to build a hierarchical model: (solve qualitative problems quantitatively)

           

             Top level: The purpose of the decision, the problem to be solved.

 

             Bottom layer: Alternatives when making decisions.

 

             Middle layer: factors to consider, criteria for decision-making.

 

  The target layer, the criterion layer, and the program layer.

 

  Routine: In terms of expression: (After searching a large amount of data and synthesizing expert opinions in related fields, I constructed...)

    


  Pairwise comparison matrix: indicates the comparison of the relative importance of all factors in this layer to a certain factor in the previous layer.

(1) Inconsistency is allowed, but the scope of inconsistency must be determined .

(2) Construct a pairwise comparison matrix. [importance of factors to other elements] ( sometimes strongly subjective )




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