Analytic Hierarchy Process
Evaluation questions
- aims
- Plan to achieve this goal
- Criteria for evaluation plan
The problem idea
Select the relevant indicators, find the weight between each indicator and the weight of each choice for a certain indicator (the idea of divide and conquer)
Compare the selected indicators in pairs and calculate the weight based on the comparison result
- The importance of comparing indicators in pairs (note that there is no logical inconsistency when comparing):
- Obtain the judgment matrix (positive and reciprocal matrix) :
For example:
Question: Choose a place to travel from Suzhou-Hangzhou, Beidaihe, Guilin
Judging indicators: scenery, cost, living, eating, and transportation
- Each row (each column) of the consistent matrix is
a multiple relationship and is a judgment matrix
- Note that before using the judgment matrix to obtain weights, a consistency check must be performed.
- Perform consistency check:
Step:
When CR >= 0.1 CR>=0.1CR>=0 . . 1 is adjusted in accordance with each row (column) ratio (consistent matrix each row (column) in the same proportion) - Calculate the weight of each index
Method 1:
Arithmetic average method for weight
For the consistency matrix, you can ignore the third step
Method 2:
Geometric average method
Method 3:
Eigenvalue method for weight (Most used）
Calculate the score for each plan
E.g:
Analytic Hierarchy Process
The first step of analytic hierarchy process-hierarchical structure diagram
The second step of Analytic Hierarchy Process — construct a judgment matrix
The third step of analytic hierarchy process-consistency test
Calculate the relative weight from the judgment matrix and perform consistency test
Limitations of AHP
When the index data of the decision-making layer is known instead of being given subjectively, you need to use the distance method of superior and inferior solutions (Topsis model)