Same-Data Comparison Tutorial

See how DKS-style Expert (Manual) weights and weights calculated by AHP work independently with TOPSIS and WSM.

Purpose

This tutorial holds option data constant so you can distinguish where weights come from from how options are ranked. You do not need to reproduce every calculation to use DecisioQ effectively.

Recommended starting point: use the Expert (Manual) weights supplied by the selected Decision Catalog decision definition or profile, then customize only for a clear business need.

Shared inputs

Suppliers A, B, and C use Quality (Maximize), Cost (Minimize), and DeliveryDays (Minimize).

SupplierQualityCostDelivery days
A902505
B801803
C701007

Expert (Manual) weights

These explicitly defined weights could come from people, policy, or another trusted source. In the standard DecisioQ experience, they are typically supplied by Decision Catalog. Here they are Quality 0.50, Cost 0.30, and DeliveryDays 0.20.

Weights calculated by AHP

Pairwise comparisons Quality:Cost=2, Quality:Delivery=4, and Cost:Delivery=2 produce automatically calculated (AHP-derived) weights 0.571429, 0.285714, and 0.142857.

Verified results

CombinationEffective weightsRanking and scores
Expert (Manual) + WSM0.50 / 0.30 / 0.20A 0.6000; B 0.5900; C 0.3000
Expert (Manual) + TOPSIS0.50 / 0.30 / 0.20A 0.617218; B 0.540706; C 0.357775
AHP + WSM0.571429 / 0.285714 / 0.142857A 0.6429; B 0.5619; C 0.2857
AHP + TOPSIS0.571429 / 0.285714 / 0.142857A 0.661635; B 0.516671; C 0.326631

Interpretation

The winner remains A, while weights and scores change. Other valid datasets can change rankings.

  • AHP increases Quality’s influence.
  • WSM multiplies each normalized criterion score by its weight and adds those contributions. A strong result in one area can offset a weaker result in another.
  • TOPSIS ranks each option by its closeness to the ideal profile and its distance from the least-desirable profile.
Results depend on options, criteria, directions, constraints, weights, and assumptions. Use sensitivity analysis when stability matters.

Next steps