1. Basic principle: Analytic Hierarchy Process is a method based on paired comparison. By building a hierarchical structure system, the factors are compared and weighted, and finally the optimal scheme is obtained; The ideal solution rule is a method based on the optimal mathematical model, and the optimal solution is obtained by mathematical modeling of decision-making factors and objectives.

2. Scope of application: AHP is suitable for multi-level, multi-objective and multi-condition decision-making problems, especially for fuzzy decision-making problems; The ideal solution rule is suitable for problems with single objective and multiple decision factors, especially for linear programming problems.

3. Algorithm difficulty: Compared with the ideal solution, the analytic hierarchy process (AHP) algorithm is relatively simple, which only needs paired comparison and hierarchical decomposition, and can be calculated by professional software; The ideal solution rules need mathematical modeling and linear programming calculation, and the algorithm is complex.

4. Accurate and reliable: the result of the ideal solution calculated by the mathematical model is relatively accurate and reliable, but the establishment of the model needs to consider all factors and conditions, which is more rigorous; The accuracy and reliability of AHP are relatively low, but it can handle fuzzy information and subjective factors well, which is closer to the actual decision.