REGIME: Ordinal multi-criteria method based on pairwise regime analysis

Overview

Pairwise regime matrix aggregation (ordinal weights). Output typically utility (higher value = preferred).

Strengths

• •Method-specific: Pairwise regime matrix aggregation (ordinal weights)

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

• •if A_i dominates A_k on criterion j (adjusted for direction), −1 if dominated, 0 if equal.

Common pitfalls

• •Hatalı: 'REGIME bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Criteria preferences are independent (no synergistic interactions)
• •Hatalı: 'REGIME bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Compensation is acceptable: high score on one criterion can offset low on another
• •Hatalı: 'REGIME bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Decision matrix is complete (no missing values)
• •Hatalı: REGIME'yi 'Criteria strongly correlated → consider DEMATEL/ANP for interdependence' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
• •Hatalı: REGIME'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 regime vector e_ik: e_ik,j = +1 if A_i dominates A_k on criterion j (adjusted for direction), −1 if dominated, 0 if equal. Formül: e_{ik,j} = \text{sign}\bigl((x_{ij}-x_{kj})\cdot d_{j}\bigr),\quad d_{j}=+1\text{ (benefit)},\;-1\text{ (cost)} Anchor: Hinloopen et al. 1983, p.84
2. 2.Adım 2 (F2): Step 2: Compute weighted regime score R_ik = Σ_j w_j · e_ik,j. Net dominance score for A_i: S_i = Σ_k R_ik. Rank descending. Formül: R_{ik} = \sum_{j=1}^{n}w_{j}\,e_{ik,j};\qquad S_{i} = \sum_{k \neq i}R_{ik} Anchor: Hinloopen et al. 1983, p.85

Commonly paired with

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

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