Criteria Correlation and Standard Deviation objective weighting
CCSD (Criteria Correlation and Standard Deviation objective weighting) is a weight objective multi-criteria decision-making (MCDM) method introduced by Wang, Y. M., Luo, Y. in 2010. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Key highlights
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Intuition
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How it works
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When to use it
CCSD uses a nonlinear weight formula w_j = σ_j·√(1−R_j)/Σσ_k·√(1−R_k) where R_j is the Pearson correlation of criterion j with the overall assessment computed WITHOUT criterion j. This circular dependency makes it a nonlinear system requiring an iterative solver (e.g. SLSQP). CCSD is DIFFERENT from CRITIC: CRITIC uses pairwise inter-criterion correlations ρ_{jk}, while CCSD uses R_j (correlation with the partial aggregate). The paper itself (Wang & Luo 2010, p.2) states 'similar to but different from the CRITIC method'.
Strengths & limitations
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
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Sources
- 1.Wang, Y. M., Luo, Y. (2010). Integration of correlations with standard deviations for determining attribute weights in multiple attribute decision making. Mathematical and Computer Modelling
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Cite this page
ScholarGate. (2026, June 2). CCSD. ScholarGate. https://scholargate.app/decision-making/ccsd