EVAMIX: EVAluation of MIXed data

Overview

Mixed ordinal+cardinal pairwise dominance aggregation. Output typically utility (higher value = preferred).

Strengths

• •Method-specific: Mixed ordinal+cardinal pairwise dominance aggregation

Limitations

• •Assumes: Criteria preferences are independent (no synergistic interactions)
• •Assumes: Compensation is acceptable: high score on one criterion can offset low on another
• •Assumes: Decision matrix is complete (no missing values)

Assumptions to verify

• •Criteria preferences are independent (no synergistic interactions)
• •Compensation is acceptable: high score on one criterion can offset low on another
• •Decision matrix is complete (no missing values)

When not to use

• •Criteria strongly correlated → consider DEMATEL/ANP for interdependence
• •Non-compensatory preferences → consider outranking (ELECTRE/PROMETHEE)

Edge cases

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

Common pitfalls

• •Hatalı: 'EVAMIX bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Criteria preferences are independent (no synergistic interactions)
• •Hatalı: 'EVAMIX bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Compensation is acceptable: high score on one criterion can offset low on another
• •Hatalı: 'EVAMIX bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Decision matrix is complete (no missing values)
• •Hatalı: EVAMIX'yi 'Criteria strongly correlated → consider DEMATEL/ANP for interdependence' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
• •Hatalı: EVAMIX'yi 'Non-compensatory preferences → consider outranking (ELECTRE/PROMETHEE)' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1. 1.Adım 1 (F1): Step 1: For each ordered pair (A_i, A_k): compute ordinal dominance score OD_ik = Σ_{j∈ordinal} w_j · sign(x_ij − x_kj)·d_j and cardinal dominance score CD_ik = Σ_{j∈cardinal} w_j · (n_ij − n_kj) where n_ij is min-max normalised. Formül: OD_{ik} = \sum_{j \in \text{ordinal}}w_{j}\cdot\text{sign}((x_{ij}-x_{kj})\cdot d_{j});\quad CD_{ik} = \sum_{j \in \text{cardinal}}w_{j}\cdot(n_{ij}-n_{kj}) Anchor: Voogd 1983, p.222-225
2. 2.Adım 2 (F2): Step 2: Compute overall dominance score D_ik = w_ord · OD_ik + w_card · CD_ik where w_ord = Σ_{j∈ordinal} w_j, w_card = Σ_{j∈cardinal} w_j. Net score S_i = Σ_k D_ik. Rank descending. Formül: D_{ik} = w_{\text{ord}}\cdot OD_{ik} + w_{\text{card}}\cdot CD_{ik};\quad S_{i} = \sum_{k \neq i}D_{ik} Anchor: Voogd 1983, p.225

Commonly paired with

• •AHP + EVAMIX (high)
• •BWM + EVAMIX (high)
• •ENTROPY + EVAMIX (high)
• •CRITIC + EVAMIX (high)
• •SWARA + EVAMIX (high)

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