qR-ARAS — q-Rung Orthopair extension of ARAS
QR-ARAS (qR-ARAS — q-Rung Orthopair extension of ARAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Yager, R. R. in 2017. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Read the full method
Sign in with a free account to read this section.
Method map
The neighbourhood of related methods — select a node to explore.
When to use it
QR-ARAS extends ARAS to q-Rung Orthopair Fuzzy Numbers. Pipeline: (1) cost criteria are complemented via (μ,ν)→(ν,μ); (2) a fictitious optimal q-ROFN row A_0 is built coordinate-wise; (3) each row (including A_0) is aggregated by q-ROFWA into a single q-ROFN; (4) the q-ROFN is reduced to a crisp score S_i = (1+μ_i^q−ν_i^q)/2 ∈ [0,1]; (5) utility K_i = S_i/S_0 ∈ [0,1] is ranked descending. The q parameter (≥1) is analyst-specified; q=1 reduces to IF-ARAS, q=2 to PF-ARAS, q=3 to FF-ARAS.
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
- Yager, R. R. (2017). Generalized orthopair fuzzy sets. IEEE Transactions on Fuzzy Systems DOI: 10.1109/TFUZZ.2016.2604005 ↗
How to cite this page
ScholarGate. (2026, June 2). qR-ARAS — q-Rung Orthopair extension of ARAS. ScholarGate. https://scholargate.app/en/decision-making/qr-aras
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.
- AHPDecision-making↔ compare
- ANPDecision-making↔ compare
- BWMDecision-making↔ compare
- BWM-BAYESIANDecision-making↔ compare
- CCSDDecision-making↔ compare
- CILOSDecision-making↔ compare
- CIMASDecision-making↔ compare
- CRITICDecision-making↔ compare