FUCOM: Full Consistency Method

Overview

Pairwise priority + consistency constraint LP weighting. Output typically weight (higher value = preferred).

Strengths

• •Method-specific: Pairwise priority + consistency constraint LP 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 FUCOM-specific edge handling. recommendation_metadata.assumptions_to_verify also lists boundary conditions.

Common pitfalls

• •Hatalı: 'FUCOM bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Domain experts available
• •Hatalı: 'FUCOM bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Experts can express consistent comparisons
• •Hatalı: FUCOM'yi 'No experts available → use objective weighting' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
• •Hatalı: FUCOM'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: Rank criteria by importance C_(1) ≻ C_(2) ≻ … ≻ C_(n). Formül: C_{(1)} \succeq C_{(2)} \succeq \cdots \succeq C_{(n)} Anchor: Pamucar 2018, p.5 Sec.3.1
2. 2.Adım 2 (F2): Step 2: Comparative importance vector φ_(k) of consecutive criteria. Formül: \phi_{(k)} = \dfrac{w_{(k)}}{w_{(k+1)}},\quad k=1,\ldots,n-1 Anchor: Pamucar 2018, p.5 Eq.(1)
3. 3.Adım 3 (F3): Step 3: Min-max optimisation for weights satisfying φ + transitivity. Formül: \min\chi\ \text{s.t.}\ \left|\dfrac{w_{(k)}}{w_{(k+1)}}-\phi_{(k)}\right|\le\chi,\ \left|\dfrac{w_{(k)}}{w_{(k+2)}}-\phi_{(k)}\phi_{(k+1)}\right|\le\chi,\ \sum w_{j}=1 Anchor: Pamucar 2018, p.6 Eqs.(2)-(3)

Commonly paired with

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

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