Weight_Objective
IDOCRIW: Integrated Determination of Objective CRIteria Weights
Zavadskas, E. K., Podvezko, V. · 2012
Overview
Integrated objective weighting (ENTROPY × CILOS product-normalisation). Output typically weight (higher value = preferred).
Strengths
- •Method-specific: Integrated objective weighting (ENTROPY × CILOS product-normalisation)
Limitations
- •Assumes: Decision matrix exists with measurable criteria
- •Assumes: Sufficient inter-alternative variation per criterion
Method assistant
Grounded explanations: it explains the method, it does not compute.
Assumptions to verify
- •Decision matrix exists with measurable criteria
- •Sufficient inter-alternative variation per criterion
When not to use
- •No data variation (constant criterion) → weight degenerates
- •Expert judgment is the actual driver → use subjective weighting
Edge cases
- •See F.steps and D.parameters for IDOCRIW-specific edge handling. recommendation_metadata.assumptions_to_verify also lists boundary conditions.
Common pitfalls
- •Hatalı: 'IDOCRIW bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Decision matrix exists with measurable criteria
- •Hatalı: 'IDOCRIW bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Sufficient inter-alternative variation per criterion
- •Hatalı: IDOCRIW'yi 'No data variation (constant criterion) → weight degenerates' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
- •Hatalı: IDOCRIW'yi 'Expert judgment is the actual driver → use subjective weighting' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
Worked example
- 1.Adım 1 (F1): Step 1: Compute Entropy weights w^E_j on the data. Formül: w^{E}_{j} = \text{Entropy}(X)_{j} Anchor: Zavadskas-Podvezko 2016, p.10 Eq.(1)
- 2.Adım 2 (F2): Step 2: Compute CILOS weights w^C_j on the data. Formül: w^{C}_{j} = \text{CILOS}(X)_{j} Anchor: Zavadskas-Podvezko 2016, p.10 Eq.(2)
- 3.Adım 3 (F3): Step 3: IDOCRIW weights w_j = (w^E_j · w^C_j) / Σ (w^E_k · w^C_k). Formül: w_{j} = \dfrac{w^{E}_{j}\,w^{C}_{j}}{\sum_{k=1}^{n} w^{E}_{k}\,w^{C}_{k}} Anchor: Zavadskas-Podvezko 2016, p.10 Eq.(3)
Commonly paired with
- •IDOCRIW + TOPSIS (high)
- •IDOCRIW + VIKOR (high)
- •IDOCRIW + EDAS (high)
- •IDOCRIW + WASPAS (high)
- •IDOCRIW + MARCOS (high)
How to cite
Zavadskas, E. K.; Podvezko, V. (2012). Integrated Determination of Objective Criteria Weights in MCDM. International Journal of Information Technology & Decision Making. https://doi.org/10.1142/S0219622012400135