Ranking

WINGS: Weighted Influence Non-linear Gauge System

Michnik, J. · 2013

Overview

Influence network weighting + DEMATEL-style strength scoring. Output typically weight_or_utility (higher value = preferred).

Strengths

•Method-specific: Influence network weighting + DEMATEL-style strength scoring
•Native group-decision support (multi-DM aggregation built into the pipeline)

Method assistant

Grounded explanations: it explains the method, it does not compute.

Edge cases

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

Common pitfalls

•Bkz. WINGS F.steps citation_anchor'lar ve P.verification_status.

Worked example

1.Adım 1 (F1): Step 1: Strength matrix B (self-influence on diagonal, pairwise influence off-diagonal). Formül: B = [b_{ij}]_{n\times n},\ b_{ii}=\text{strength},\ b_{ij}=\text{influence} Anchor: Michnik 2013, p.140 Eq.(1)
2.Adım 2 (F2): Step 2: Normalise C = B/s with s = Σ_i Σ_j b_ij. Formül: C = \dfrac{B}{\sum_{i,j} b_{ij}} Anchor: Michnik 2013, p.141 Eq.(2)
3.Adım 3 (F3): Step 3: Total relation T = C(I − C)^{−1}. Formül: T = C(I - C)^{-1} Anchor: Michnik 2013, p.141 Eq.(3)
4.Adım 4 (F4): Step 4: Engagement r_i + c_i and role r_i − c_i; weights from engagement. Formül: r_{i}=\sum_{j} t_{ij},\ c_{i}=\sum_{j} t_{ji};\ w_{i}=\dfrac{r_{i}+c_{i}}{\sum_{k}(r_{k}+c_{k})} Anchor: Michnik 2013, p.142 Eqs.(4)-(5)

How to cite

Michnik, J. (2013). Weighted Influence Non-linear Gauge System (WINGS): An analysis method for the systems of interrelated components. European Journal of Operational Research. https://doi.org/10.1016/j.ejor.2013.02.007

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Worked example

1.Adım 1 (F1): Step 1: Strength matrix B (self-influence on diagonal, pairwise influence off-diagonal). Formül: B = [b_{ij}]_{n\times n},\ b_{ii}=\text{strength},\ b_{ij}=\text{influence} Anchor: Michnik 2013, p.140 Eq.(1)

2.Adım 2 (F2): Step 2: Normalise C = B/s with s = Σ_i Σ_j b_ij. Formül: C = \dfrac{B}{\sum_{i,j} b_{ij}} Anchor: Michnik 2013, p.141 Eq.(2)

3.Adım 3 (F3): Step 3: Total relation T = C(I − C)^{−1}. Formül: T = C(I - C)^{-1} Anchor: Michnik 2013, p.141 Eq.(3)

4.Adım 4 (F4): Step 4: Engagement r_i + c_i and role r_i − c_i; weights from engagement. Formül: r_{i}=\sum_{j} t_{ij},\ c_{i}=\sum_{j} t_{ji};\ w_{i}=\dfrac{r_{i}+c_{i}}{\sum_{k}(r_{k}+c_{k})} Anchor: Michnik 2013, p.142 Eqs.(4)-(5)