MCDMDecision-makingRankingMath steps

Hesitant extension of HF-CODAS

OriginatorTorra, V.Year2010Sources1Related methods8

HF-CODAS (Hesitant extension of HF-CODAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Torra, V. 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

hf-codas extends HF-CODAS to handle Hesitant uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Hesitant Fuzzy Element (HFE: set of possible membership degrees) algebra. The final scores are defuzzified via envelope: (min + max)/2, or mean of all values 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.
    Torra, V. (2010). Hesitant fuzzy sets. International Journal of Intelligent Systems

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ScholarGate. (2026, June 2). HF-CODAS. ScholarGate. https://scholargate.app/decision-making/hf-codas