Grey-MOORA — Grey extension of MOORA
GREY-MOORA (Grey-MOORA — Grey extension of MOORA) is a ranking multi-criteria decision-making (MCDM) method introduced by Stanujkic, D., Magdalinovic, N., Jovanovic, R., Stojanovic, S. in 2012. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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Method map
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When to use it
grey-moora extends MOORA to handle Grey uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Grey Interval Number (GIN: [x̲, x̄]) algebra. The final scores are defuzzified via whitenisation: (x̲ + x̄)/2 before ranking.
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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Stanujkic, D., Magdalinovic, N., Jovanovic, R., Stojanovic, S. (2012). An objective multi-criteria approach to optimization using MOORA method and interval grey numbers. Technological and Economic Development of Economy DOI: 10.3846/20294913.2012.676996 ↗
How to cite this page
ScholarGate. (2026, June 2). Grey-MOORA — Grey extension of MOORA. ScholarGate. https://scholargate.app/en/decision-making/grey-moora
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