MCDMDecision-makingRankingMath steps

qR-EDAS — q-Rung Orthopair extension of EDAS

OriginatorYager, R. R.Year2017Sources1Related methods8

QR-EDAS (qR-EDAS — q-Rung Orthopair extension of EDAS) 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-EDAS follows Pattern B (Li-Wei-Lu 2019 + Liu-Wang 2018 + Keshavarz-Ghorabaee 2015 lineage): at F1 the q-ROFN matrix is reduced to crisp scores s_ij = μ_ij^q − ν_ij^q (Liu-Wang 2018 Def. 2.4). Cost criteria are handled at F1 by q-ROFN complement α^c=(ν,μ), equivalent to flipping the score sign. From F2 onwards the pipeline is identical to crisp EDAS (Keshavarz-Ghorabaee 2015): AV per criterion, PDA/NDA, weighted sums SP/SN, NSP/NSN normalisation, appraisal score AS=(NSP+NSN)/2. Rank descending by AS.

Strengths & limitations

Strengths
  • 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.
Limitations
  • 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.

Common pitfalls

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Sources

  1. 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-EDAS. ScholarGate. https://scholargate.app/decision-making/qr-edas