Interval-Valued Intuitionistic Fuzzy TODIM (Krohling & Pacheco 2014)
IVIF-TODIM (Interval-Valued Intuitionistic Fuzzy TODIM (Krohling & Pacheco 2014)) is a ranking multi-criteria decision-making (MCDM) method introduced by Atanassov, K. T., Gargov, G. in 1989. 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
IVIF-TODIM extends Gomes-Lima 1992 prospect-theory TODIM to handle Interval-Valued Intuitionistic Fuzzy uncertainty (Atanassov-Gargov 1989). All operations use IVIFN arithmetic. Each pairwise alternative comparison decomposes into gain (positive φ) or loss (negative φ scaled by 1/θ) per criterion via score-based ordering. Dominance δ(i,j) sums all partial contributions; total Σ_j δ(i,j) is normalized to [0,1] yielding global value ξ_i. Higher ξ = better. Loss-aversion parameter θ > 1 amplifies losses (prospect-theory loss aversion); θ = 1 is neutral.
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., Gargov, G. (1989). Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems
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ScholarGate. (2026, June 2). IVIF-TODIM. ScholarGate. https://scholargate.app/decision-making/ivif-todim