MCDMDecision-makingRankingMath steps

Rank Reversal Analysis — Detection of ranking instability when alternatives are added/removed

OriginatorTriantaphyllou, E.Year2000Sources1

RANK-REVERSAL (Rank Reversal Analysis — Detection of ranking instability when alternatives are added/removed) is a ranking multi-criteria decision-making (MCDM) method introduced by Triantaphyllou, E. in 2000. 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

Rank Reversal Analysis — Detection of ranking instability when alternatives are added/removed

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
  • Assumes full compensation — a strong score on one criterion can offset a weak score on another.

Sources

  1. 1.
    Triantaphyllou, E. (2000). Multi-Criteria Decision Making Methods: A Comparative Study. Kluwer Academic Publishers, Dordrecht

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ScholarGate. (2026, June 2). RANK-REVERSAL. ScholarGate. https://scholargate.app/decision-making/rank-reversal