Solving Mathematical and Economic Problems Using the Analytic Hierarchy Process (AHP)

The Analytic Hierarchy Process (AHP) serves as a powerful methodology for addressing diverse problems in mathematics and economics. The AHP program functions as a computational tool that implements a reliable and effective framework to support rational decision-making. This method systematically decomposes complex problems into hierarchical structures, where each level contains specific criteria or factors for evaluating different aspects of decisions. Through pairwise comparisons of various factors and criteria, the algorithm determines relative importance weights and establishes priority rankings. The implementation typically involves constructing comparison matrices, calculating eigenvectors for weight derivation, and performing consistency checks using eigenvalue analysis. When applying AHP modeling, careful consideration of all relevant factors is essential, requiring comprehensive analysis of potential aspects to ensure robust decision outcomes. The approach provides valuable insights for problem understanding and facilitates data-driven, informed decision-making through structured quantitative evaluation.