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Grey-TODIM — Grey extension of TODIM

OriginatorGomes, L. F. A. M., Lima, M. M. P. P.Year1992Sources1Related methods8

GREY-TODIM (Grey-TODIM — Grey extension of TODIM) is a ranking multi-criteria decision-making (MCDM) method introduced by Gomes, L. F. A. M., Lima, M. M. P. P. in 1992. 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

grey-todim extends TODIM to handle Grey uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Grey Interval Number (GIN: [x̲, x̄]) algebra. The final scores are defuzzified via whitenisation: (x̲ + x̄)/2 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.
    (). UNCONFIRMED — GREY-TODIM specific seminal not confirmed via systematic literature search. PENDING
    https://scholar.google.com/scholar?q=UNCONFIRMED%20%E2%80%94%20GREY-TODIM%20specific%20seminal%20not%20confirmed%20via%20systematic%20literature%20search

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ScholarGate. (2026, June 2). GREY-TODIM. ScholarGate. https://scholargate.app/decision-making/grey-todim