MCDMDecision-makingRankingMath steps

Fuzzy MOORA — Fuzzy extension of MOORA

OriginatorChen, C. T.Year2000Sources1Related methods2

FUZZY-MOORA (Fuzzy MOORA — Fuzzy extension of MOORA) is a ranking multi-criteria decision-making (MCDM) method introduced by Chen, C. T. in 2000. 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-moora extends MOORA 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
  • 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.
    Chen, C. T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems

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

Fuzzy MOORA — Fuzzy MOORA — Fuzzy extension of MOORA