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

Overview

Robustness wrapper: k-fold cross-validation for MCDM stability. Output typically robustness_score (higher value = preferred).

Strengths

• •Method-specific: Robustness wrapper: k-fold cross-validation for MCDM stability

Limitations

• •Assumes: A base ranking method is selected
• •Assumes: Computational budget for repeated runs

Assumptions to verify

• •A base ranking method is selected
• •Computational budget for repeated runs

When not to use

• •Quick analysis needed → defer robustness check

Edge cases

• •See F.steps and D.parameters for CROSS-VALIDATION-specific edge handling. recommendation_metadata.assumptions_to_verify also lists boundary conditions.

Common pitfalls

• •Hatalı: 'CROSS-VALIDATION bu varsayımı kontrol etmeden uygulamak'. Doğrusu: A base ranking method is selected
• •Hatalı: 'CROSS-VALIDATION bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Computational budget for repeated runs
• •Hatalı: CROSS-VALIDATION'yi 'Quick analysis needed → defer robustness check' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1. 1.Adım 1 (F1): Validate inputs for cross-validation. Formül: \text{CV error}=\frac{1}{k}\sum_{f=1}^k\text{err}_f;\quad\text{err}_f=\frac{1}{|\text{fold}_f|}\sum_{i\in\text{fold}_f}|\hat{r}_i-r_i| Anchor: Stone 1974, (pending PDF page verification)

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