MCDMDecision-makingOutrankingMath steps
Superiority and Inferiority Ranking
SIR (Superiority and Inferiority Ranking) is a outranking multi-criteria decision-making (MCDM) method introduced by Xu, X. in 2001. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Key highlights
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Intuition
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How it works
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When to use it
Apply the F.steps in order; the final score determines the descending ranking.
Strengths & limitations
Strengths
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Limitations
- Results depend on the chosen normalisation, weights, and parameter settings.
Sources
- 1.Xu, X. (2001). The SIR method: A superiority and inferiority ranking method for multiple criteria decision making. European Journal of Operational Research
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Cite this page
ScholarGate. (2026, June 2). SIR. ScholarGate. https://scholargate.app/decision-making/sir