MCDMDecision-makingRankingMath steps

Fuzzy VIKOR — Fuzzy extension of VIKOR

OriginatorOpricovic, S.Year2011Sources1Related methods5

FUZZY-VIKOR (Fuzzy VIKOR — Fuzzy extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Opricovic, S. in 2011. 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-vikor extends VIKOR 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.
    Opricovic, S. (2011). Fuzzy VIKOR with an application to water resources planning. Expert Systems with Applications

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