PiF-TODIM — Picture extension of TODIM
PIF-TODIM (PiF-TODIM — Picture extension of TODIM) is a ranking multi-criteria decision-making (MCDM) method introduced by Cuong, B. C., Kreinovich, V. in 2013. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
PIF-TODIM follows Wei 2018: build PF decision matrix R, compute score S(α)=(1+μ-ν)/2 and Hamming distance d (Eq.3,11), identify reference attribute G_r=argmax w_j and relative weights w_jr=w_j/w_r (Eq.9), compute per-criterion dominance φ_j piecewise on score comparison with loss-aversion factor θ (Eq.10), aggregate δ(A_i, A_t)=Σ_j φ_j (Eq.13), and rank by min-max normalised global value δ(A_i) (Eq.15). Highest δ(A_i)=1 is best alternative; lowest δ(A_i)=0 is worst.
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.
Sources
- Cuong, B. C., Kreinovich, V. (2013). Picture fuzzy sets — A new concept for computational intelligence problems. 2013 Third World Congress on Information and Communication Technologies (WICT 2013) DOI: 10.1109/WICT.2013.7113099 ↗
How to cite this page
ScholarGate. (2026, June 2). PiF-TODIM — Picture extension of TODIM. ScholarGate. https://scholargate.app/en/decision-making/pif-todim
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