LBWA: Level Based Weight Assessment

Overview

Level-partitioned criterion grouping with influence function weighting. Output typically weight (higher value = preferred).

Strengths

• •Method-specific: Level-partitioned criterion grouping with influence function weighting
• •Native group-decision support (multi-DM aggregation built into the pipeline)

Limitations

• •Assumes: Domain experts available
• •Assumes: Experts can express consistent comparisons

Assumptions to verify

• •Domain experts available
• •Experts can express consistent comparisons

When not to use

• •No experts available → use objective weighting
• •High inconsistency → discard and re-elicit

Edge cases

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

Common pitfalls

• •Hatalı: 'LBWA bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Domain experts available
• •Hatalı: 'LBWA bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Experts can express consistent comparisons
• •Hatalı: LBWA'yi 'No experts available → use objective weighting' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
• •Hatalı: LBWA'yi 'High inconsistency → discard and re-elicit' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1. 1.Adım 1 (F1): Step 1: Most significant criterion c_1; assign integers I_j (lower = more important) within levels. Formül: c_{1}=\arg\max_{j} \text{importance};\ I_{j}\in\mathbb{N}\text{ at level }l Anchor: Žižović-Pamucar 2019, p.3 Sec.3
2. 2.Adım 2 (F2): Step 2: Influence function A(I_j) = (r_0 - I_j)/r_0^{L_j} for chosen elasticity r_0. Formül: A(I_{j}) = \dfrac{r_{0} - I_{j}}{r_{0}^{L_{j}}} Anchor: Žižović-Pamucar 2019, p.4 Eq.(1)
3. 3.Adım 3 (F3): Step 3: Most-important weight w_1 = 1/(1+Σ f_j); other w_j = f_j · w_1. Formül: w_{1} = \dfrac{1}{1+\sum_{j\neq 1} f_{j}},\quad w_{j} = f_{j}\cdot w_{1} Anchor: Žižović-Pamucar 2019, p.4 Eqs.(2)-(3)

Commonly paired with

• •LBWA + TOPSIS (high)
• •LBWA + VIKOR (high)
• •LBWA + EDAS (high)
• •LBWA + PROMETHEE (high)
• •LBWA + ELECTRE-III (high)

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