MCDMDecision-makingRankingMath steps
Preference Ranking on the Basis of Ideal-Average Distance
PROBID (Preference Ranking on the Basis of Ideal-Average Distance) is a ranking multi-criteria decision-making (MCDM) method introduced by Wang, Z., Rangaiah, G. P., Wang, X. in 2021. 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
Higher p_i = better. PROBID considers all m ideal solutions (ranked alternatives) and weights closer ideals more heavily. Complexity O(m²n) — suitable for moderate-size problems.
Strengths & limitations
Strengths
- 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.
Limitations
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Wang, Z., Rangaiah, G. P., Wang, X. (2021). Preference ranking on the basis of ideal-average distance method for multi-criteria decision-making. Industrial & Engineering Chemistry Research
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Cite this page
ScholarGate. (2026, June 2). PROBID. ScholarGate. https://scholargate.app/decision-making/probid