qR-WPM — q-Rung Orthopair extension of WPM
QR-WPM (qR-WPM — q-Rung Orthopair extension of WPM) 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.
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
qr-wpm extends WPM 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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Yager, R. R. (2017). Generalized orthopair fuzzy sets. IEEE Transactions on Fuzzy Systems
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Cite this page
ScholarGate. (2026, June 2). QR-WPM. ScholarGate. https://scholargate.app/decision-making/qr-wpm