Monday, October 5, 2026

In-Browser Image Processing & Diff Tool – Powered by OpenCV.js

======================== OpenCV.js Image Processing & Comparison Suite

VisionLab Dual Wasm v4.x

OpenCV.js Image Filters & Advanced Comparison Suite

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Friday, October 2, 2026

The Analytic Hierarchy Process (AHP): Step 1 to the Perfect Decision Matrix for Better Decision Making

============================ AHP Consistency Ratio (CR) Calculator & Decision Analysis Webapp
Analytic Hierarchy Process (AHP) Decision Engine

AHP Consistency Ratio (CR) Calculator

Validate mathematical rigor, calculate principal eigenvalue (λmax), priority vector weights (wi), consistency index (CI), and consistency ratio (CR).

1 Define Decision Criteria

Add between 2 to 10 criteria for pairwise matrix evaluation.

2 Pairwise Comparisons (Saaty 1–9 Scale)

Adjust relative importance sliders. Center (0) denotes equal priority (1:1).

3 AHP Consistency Analysis

Evaluates transitivity logic: if Criterion A > B and B > C, then A should > C.

Principal Eigenvalue (λmax) --
Consistency Index (CI) --
Random Index (RI) --
Consistency Ratio (CR) --

Calculated Priority Vector (wi) Weights

Relative weighting allocated to each decision criterion.

AHP Mathematical Foundations

1. Pairwise Comparison Matrix (A)

For n criteria, an n × n pairwise matrix is built where each element aij represents the relative weight of criterion i over j, satisfying reciprocal symmetry: aji = 1 / aij and aii = 1.

2. Priority Vector / Row Averages (wi)

Column-normalize matrix A and compute the arithmetic row mean to calculate normalized priority weights:

3. Principal Eigenvalue (λmax)

Multiply original matrix A by priority vector w, divide row-wise by wi, and take the average:

4. Consistency Index (CI) & Consistency Ratio (CR)

Quantifies random departure from exact transitivity:

Where RI is Thomas L. Saaty's empirical Random Index based on sample size n. Matrices with CR ≤ 10% (0.10) are considered consistently reliable for operational decision-making.

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============================================ AHP DECISION ENGINE User Workflow Guide 1 Define Decision Criteria Add 2 to 10 criteria representing key evaluation factors (e.g., Cost, Quality, Risk, Implementation Ease). Action: Click "+ Add Criterion" or edit defaults 2 Pairwise Comparisons (Saaty 1–9 Scale) Adjust range sliders comparing relative importance between pairs. • Center (0) = Equal Priority (1:1) • Left/Right (+8 / -8) = Extreme Importance (9:1 / 1:9) Action: Slide inputs for every criterion pair 3 Validate Consistency Ratio (CR) The engine automatically computes key metrics: • Principal Eigenvalue (λ_max) & Consistency Index (CI) ✓ CR ≤ 10% (0.10): Judgments are logically consistent ✕ CR > 10%: Inconsistent! Check dynamic recommendations Action: Re-align sliders if inconsistency alert appears 4 Analyze Priority Weights & Charts Examine generated priority weights (w_i) summing to 100%. • Toggle between Interactive Bar Chart & Radar Chart • Inspect matrix tables (Raw Matrix A vs. Normalized Matrix A_norm) Action: Review mathematical breakdown tabs 5 Export Results Download reports for decision documentation and audit trails. Action: Click "Export Full Excel" or "Export CSV" ===============
Updated: 06/10/20206 Changes made: AHP Consistency Analysis added. Radar chart added. Comparison Matrix and Normalized Matrix are added.