MCDMDecision-makingRankingMath steps
Grey-Projection — Grey extension of GRA
GREY-PROJECTION (Grey-Projection — Grey extension of GRA) is a ranking multi-criteria decision-making (MCDM) method introduced by Liu, S., Lin, Y. in 2013. 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
grey-projection extends GRA 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
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.Liu, S., Lin, Y. (2013). Grey systems-based projection for MCDM. Grey Systems: Theory and Application
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Cite this page
ScholarGate. (2026, June 2). GREY-PROJECTION. ScholarGate. https://scholargate.app/decision-making/grey-projection