Intuitionistic Fuzzy TODIM
IF-TODIM (Intuitionistic Fuzzy TODIM) is a ranking 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-TODIM extends crisp TODIM 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) picks the highest-weight criterion as reference and computes relative weights w_jr = w_j / w_r, (iv) computes per-criterion IF Euclidean distance d_j(A_i, A_k), (v) builds the per-criterion dominance contribution φ_j using prospect-theory loss aversion (gain branch + clipped, loss branch − amplified by 1/θ, sign chosen by Chen-Tan score), (vi) sums φ_j over criteria to δ(A_i, A_k), (v
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-TODIM. ScholarGate. https://scholargate.app/decision-making/if-todim