qR-WASPAS — q-Rung Orthopair extension of WASPAS
QR-WASPAS (qR-WASPAS — q-Rung Orthopair extension of WASPAS) 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.
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When to use it
qr-waspas extends WASPAS to handle q-Rung Orthopair uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using q-Rung Orthopair Fuzzy Number (q-ROFN: μ, ν; μ^q+ν^q ≤ 1, q ≥ 1) algebra. The final scores are defuzzified via score function S = μ^q − ν^q 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
- 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-WASPAS — q-Rung Orthopair extension of WASPAS. ScholarGate. https://scholargate.app/en/decision-making/qr-waspas
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