Grey-SAW — Grey extension of SAW
GREY-SAW (Grey-SAW — Grey extension of SAW) is a ranking multi-criteria decision-making (MCDM) method introduced by Fishburn, P. C. in 1967. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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Method map
The neighbourhood of related methods — select a node to explore.
When to use it
grey-saw extends SAW 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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Fishburn, P. C. (1967). Additive utilities with incomplete product sets: Application to priorities and assignments. Operations Research DOI: 10.1287/opre.15.3.537 ↗
How to cite this page
ScholarGate. (2026, June 2). Grey-SAW — Grey extension of SAW. ScholarGate. https://scholargate.app/en/decision-making/grey-saw
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
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- ANPDecision-making↔ compare
- BWMDecision-making↔ compare
- BWM-BAYESIANDecision-making↔ compare
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- CIMASDecision-making↔ compare
- CRITICDecision-making↔ compare