Pythagorean extension of ARAS
PF-ARAS (Pythagorean extension of ARAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Yager, R. R. in 2014. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
pf-aras extends ARAS to handle Pythagorean uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1) algebra. The final scores are defuzzified via score function S = μ² − ν² 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
- Yager, R. R. (2014). Pythagorean membership grades in multicriteria decision making. IEEE Transactions on Fuzzy Systems DOI: 10.1109/TFUZZ.2013.2278989 ↗
How to cite this page
ScholarGate. (2026, June 2). Pythagorean extension of ARAS. ScholarGate. https://scholargate.app/en/decision-making/pf-aras
Which method?
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