Analytic Hierarchy Process (AHP) - A Common Evaluation Methodology with Random Consistency Index Calculation

The Analytic Hierarchy Process (AHP) represents a commonly employed methodology for complex evaluations. AHP involves multiple systematic steps including: hierarchical structuring of decision problems, judgment matrix construction, weight calculation, consistency verification, and final weight determination. Among these steps, computing the random consistency index (RI) stands as a crucial component for method validation. To ensure accurate AHP results, mathematical verification of judgment matrix consistency becomes essential. This program implements PI calculation functionality through key algorithmic operations - it computes the consistency index (CI) by analyzing eigenvalue deviations and cross-references with pre-calculated random consistency index (RI) values to validate matrix consistency. The implementation features matrix normalization routines, eigenvalue decomposition algorithms, and weighted aggregation functions to ultimately provide final weight determinations with built-in consistency checks.