Analytic Hierarchy Process

Resource Overview

Construct judgment matrices from pairwise data comparisons with code implementation for processing these matrices, utilizing arithmetic mean method, geometric mean method, and eigenvalue method to derive weights, along with consistency verification checks

Detailed Documentation

Following pairwise data comparisons, we obtain a set of judgment matrices. These matrices can be processed through code implementation using three primary methods: the arithmetic mean method (which calculates average values across matrix rows), the geometric mean method (computing nth roots of product elements for normalization), and the eigenvalue method (solving for principal eigenvectors to determine priority weights). The derived weights facilitate improved decision-making analysis. Additionally, consistency verification is implemented through code to calculate consistency ratios (CR) by comparing consistency indices (CI) with random indices (RI), ensuring the weights maintain logical coherence and minimize bias in the results.