Consensus Reaching - Iterative aggregation of expert opinions toward group consensus

Overview

Consensus Reaching - Iterative aggregation of expert opinions toward group consensus

Output

robustness score, higher is better

Data

Crisp, complete numeric matrix

Size

2+ alternatives, 3-12 criteria works best

Used for

Sensitivity analysis, uncertainty quantification

How it works

1. 1

   Validate inputs for consensus-reaching.

   $$cd=1-\frac{1}{\left(\genfrac{}{}{0ex}{}{m}{2}\right)}\sum _{i<k}|r_{ij}-r_{kj}|\ge \text{threshold}$$

   Herrera-Viedma 2002, (pending PDF page verification)

Look elsewhere when

Assumptions to verify

• A base ranking method is selected
• Computational budget for repeated runs

Edge cases and pitfalls

• Applying CONSENSUS-REACHING without verifying this assumption.

  Requirement: A base ranking method is selected

• Applying CONSENSUS-REACHING without verifying this assumption.

  Requirement: Computational budget for repeated runs

• Using CONSENSUS-REACHING when: Quick analysis needed → defer robustness check.

  An alternative method is recommended in this situation.

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