MCDMDecision-makingRankingMath steps

ELECTRE III — ELimination Et Choix Traduisant la REalité III (pseudo-criteria, fuzzy outranking)

OriginatorRoy, B.Year1978Sources1Related methods9

ELECTRE-III (ELECTRE III — ELimination Et Choix Traduisant la REalité III (pseudo-criteria, fuzzy outranking)) is a ranking multi-criteria decision-making (MCDM) method introduced by Roy, B. in 1978. 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

ELECTRE III uses pseudo-criteria (with q, p, v thresholds per criterion) instead of binary true/false concordance, producing a fuzzy outranking relation. The credibility matrix σ is then used in a two-pass distillation to produce a complete ranking. It is more discriminating than ELECTRE II but requires more parameter elicitation.

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
  • May exhibit rank reversal when alternatives are added to or removed from the set.

Common pitfalls

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Sources

  1. 1.
    Roy, B. (1978). ELECTRE III: Un algorithme de classement fondé sur une représentation floue des préférences en présence de critères multiples. Cahiers du CERO

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ScholarGate. (2026, June 2). ELECTRE-III. ScholarGate. https://scholargate.app/decision-making/electre-iii