MCDMDecision-makingRankingMath steps

Fuzzy ARAS — Fuzzy extension of ARAS

OriginatorTurskis, Z., Zavadskas, E. K.Year2010Sources1Related methods5

FUZZY-ARAS (Fuzzy ARAS — Fuzzy extension of ARAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Turskis, Z., Zavadskas, E. K. in 2010. 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

fuzzy-aras extends ARAS to handle Fuzzy uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Triangular Fuzzy Number (TFN: l, m, u) algebra. The final scores are defuzzified via centroid (l+m+u)/3 before ranking.

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
  • 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.
    Turskis, Z., Zavadskas, E. K. (2010). A new fuzzy additive ratio assessment method (ARAS–F). Case study: the analysis of fuzzy multiple criteria in order to select the logistic centers location. Transport

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ScholarGate. (2026, June 2). FUZZY-ARAS. ScholarGate. https://scholargate.app/decision-making/fuzzy-aras

Fuzzy ARAS — Fuzzy ARAS — Fuzzy extension of ARAS