Intuitionistic Fuzzy PROMETHEE
IF-PROMETHEE (Intuitionistic Fuzzy PROMETHEE) is a outranking multi-criteria decision-making (MCDM) method introduced by Atanassov, K. T. 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
IF-PROMETHEE extends crisp PROMETHEE to settings where each rating is an Intuitionistic Fuzzy Number (μ, ν). The algorithm (i) optionally aggregates K DMs via IFWA, (ii) complements cost columns to unify direction, (iii) computes pairwise signed deviation via the IF score function s = μ − ν, (iv) applies a preference function P_j (default Type V linear with thresholds q_j, p_j), (v) builds the multi-criteria preference index π(a, b) = Σ w_j P_j, (vi) derives leaving/entering flows φ⁺, φ⁻, (vii) the PROMETHEE II net flow φ = φ⁺ − φ⁻ ∈ [−1, 1]. Higher φ = better. Algorithm is INVARIANT across pu
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.Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems
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ScholarGate. (2026, June 2). IF-PROMETHEE. ScholarGate. https://scholargate.app/decision-making/if-promethee