ahp-method

Calculate priority weights and consistency ratios from pairwise comparison matrices.

Updated Jan 26, 2026
One-click install
npx skills add https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000 --skill ahp-method
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: ahp-method
Source: https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000/tree/main/.github/skills/ahp-method
Command: npx skills add https://github.com/SPIRAL-EDWIN/MCM-ICM-2601000 --skill ahp-method

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

The Analytic Hierarchy Process (AHP) provides a principled way to derive weights from subjective judgments by constructing a pairwise comparison matrix and extracting weights via the eigenvector method, enabling consistent decision making.

Core Features & Use Cases

  • Pairwise weight extraction: Build and analyze a pairwise comparison matrix to produce a weight vector that sums to 1.
  • Consistency check: Compute the Consistency Index and Consistency Ratio to assess judgment reliability and identify inconsistencies.
  • Integration potential: Combine with objective weighting methods (e.g., entropy) or downstream scoring workflows (e.g., TOPIS) for blended analysis.
  • Use Case: Prioritize design criteria or vendor selections where stakeholder judgments drive importance rankings.

Quick Start

To begin, prepare a small pairwise comparison matrix and run the ahp_method to obtain weights and the CR. The function returns a weights vector, the computed CR, and a flag indicating whether the judgments are consistent.

Frequently Asked Questions about ahp-method

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I calculate priority weights from a pairwise comparison matrix?

The Analytic Hierarchy Process (AHP) solves multi-criteria decision analysis by deriving priority weights from subjective pairwise comparisons. It uses the eigenvector method to extract weights and calculates a consistency ratio to validate judgment reliability.

How do I check consistency in AHP pairwise comparisons?

AHP consistency checks compute the Consistency Index and Consistency Ratio from your pairwise comparison matrix. The method returns a flag indicating whether your subjective judgments meet acceptable consistency thresholds for reliable multi-criteria decisions.

Can I use AHP for vendor evaluation and feature prioritization?

AHP is suitable for small-to-medium multi-criteria decision problems like vendor evaluation and feature prioritization. It handles subjective judgments by converting pairwise comparisons into objective priority weights for ranking alternatives.

What is the best way to combine subjective AHP weights with objective weighting methods?

AHP weights can be combined with objective weighting methods like entropy for blended multi-criteria analysis. The resulting weight vector integrates into downstream scoring workflows such as TOPSIS to rank alternatives using both subjective and objective data.

Why does my AHP consistency ratio indicate inconsistent judgments?

A high AHP consistency ratio indicates your pairwise comparison matrix lacks logical transitivity. The method returns a consistency flag to guide refinement of subjective judgments until the matrix achieves acceptable consistency for reliable weight extraction.