Decision making using the analytic Hierarchy Process

Analytic Hierarchy Process (AHP) is used to support decision-making in conditions of uncertainty and multicriteria and consists in decomposing the problem into simpler components and further processing the sequence of expert judgments using using paired comparisons method.
Decomposition principle :
Decision Making Using the Analytic Hierarchy Process
ВИТИ НИЯУ МИФИ, 2021
Comparative Judgment Principle:
The principle of the priorities synthesis:
wi – is the “weight” of the i-th element of the hierarchy
1) Matrices of paired comparisons are built: one for the second level of the hierarchy (for criteria), and at each subsequent level - as many matrices of paired comparisons as there are elements in the previous level of the hierarchy (each matrix contains the results of comparison according to one of the criteria)
2) Local priorities vectors are calculated for each matrix
The final assessment of the alternative in the paired comparisons method is the weight of the alternative, calculated as a convolution of the weight coefficients of the criteria (local criteria) of all levels of the hierarchy
Decision Making Using the Analytic Hierarchy Process
ВИТИ НИЯУ МИФИ, 2021
The AHP algorithm
Formation of goals hierarchy
Pairwise comparisons
Calculation of local priority vectors
Checking expert assessments for consistency
Calculation of priorities for the hierarchy as a whole based on the synthesis of local priorities
Decision Making Using the Analytic Hierarchy Process
ВИТИ НИЯУ МИФИ, 2021

The result of comparing elements	Value
equal importance	1
moderate superiority	3
significant superiority