MCDMDecision-makingRankingMath steps

Cross-Validation — k-fold hold-out validation of MCDM decision consistency

OriginatorStone, M.Year1974Sources1Related methods1

CROSS-VALIDATION (Cross-Validation — k-fold hold-out validation of MCDM decision consistency) is a ranking multi-criteria decision-making (MCDM) method introduced by Stone, M. in 1974. 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

Cross-Validation — k-fold hold-out validation of MCDM decision consistency

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.

Sources

  1. 1.
    Stone, M. (1974). Cross-validatory choice and assessment of statistical predictions. Journal of the Royal Statistical Society Series B

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ScholarGate. (2026, June 2). CROSS-VALIDATION. ScholarGate. https://scholargate.app/decision-making/cross-validation