PROMETHEE II — Preference Ranking Organisation METHod for Enrichment of Evaluations
PROMETHEE (PROMETHEE II — Preference Ranking Organisation METHod for Enrichment of Evaluations) is a outranking multi-criteria decision-making (MCDM) method introduced by Brans, J. P., Vincke, Ph., Mareschal, B. in 1986. 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
φ(a) ∈ [−1, 1]. Higher net flow φ means stronger overall preference. φ⁺ measures how much a is preferred over all others (leaving flow); φ⁻ measures how much others are preferred over a (entering flow). PROMETHEE I (partial ranking) uses (φ⁺, φ⁻) and allows incomparability. PROMETHEE II (complete ranking) uses net flow φ alone. Choice of preference function type and thresholds strongly affects results — select them with care based on criterion nature.
Strengths & limitations
- 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.
- May exhibit rank reversal when alternatives are added to or removed from the set.
Common pitfalls
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Sources
- 1.Brans, J. P., Vincke, Ph., Mareschal, B. (1986). How to select and how to rank projects: The PROMETHEE method. European Journal of Operational Research
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ScholarGate. (2026, June 2). PROMETHEE. ScholarGate. https://scholargate.app/decision-making/promethee