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Home›Decision-making›Criteria Correlation and Standard Deviation objective weighting
MCDMWeight Objectivecrisp

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.

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CCSD
AHPSORTAPLOCOARASAROMANARTASICOBRACOCOSOCODASBF-COPRASBF-EDAS

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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

Strengths
  • 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.
Limitations
  • Results depend on the chosen normalisation, weights, and parameter settings.

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 DOI: 10.1016/j.mcm.2009.07.016 ↗

How to cite this page

ScholarGate. (2026, June 2). Criteria Correlation and Standard Deviation objective weighting. ScholarGate. https://scholargate.app/en/decision-making/ccsd

Related methods

AHPSORTAPLOCOARASAROMANARTASICOBRACOCOSOCODAS

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Referenced by

AHPSORTAPLOCOARASAROMANARTASIBF-COPRASBF-EDASBF-MARCOSBF-TOPSISBF-VIKORBF-WASPASCF-EDASCF-MARCOSCF-TOPSISCF-VIKORCOCOSOCODASCOMPROMISE-PROGRAMMINGCOPRASCRADISCUBIC-EDASCUBIC-TOPSISCUBIC-VIKORCUBIC-WASPASD-TOPSISDHF-COPRASDHF-EDASDHF-TODIMDHF-TOPSISDHF-VIKORDNMAEDASELECTREELECTRE-IELECTRE-IIELECTRE-IIIELECTRE-IVELECTRE-TRIELECTRE-TRI-BEVAMIXEXPROM-IEXPROM-IIFF-ARASFF-COCOSOFF-CODASFF-COPRASFF-EDASFF-GRAFF-MABACFF-MARCOSFF-MOORAFF-SAWFF-TODIMFF-TOPSISFF-VIKORFF-WASPASFF-WPMFMEAFUCAGOAL-PROGRAMMINGGRAGREY-ARASGREY-CODASGREY-COPRASGREY-EDASGREY-GRAGREY-MABACGREY-MARCOSGREY-MOORAGREY-PROJECTIONGREY-PROMETHEEGREY-SAWGREY-TODIMGREY-TOPSISGREY-VIKORGREY-WASPASHELLWIGHF-CODASHF-EDASHF-MARCOSHF-SAWHF-TODIMHF-TOPSISIF-COCOSOIF-CODASIF-COPRASIF-GRAIF-MABACIF-MARCOSIF-MAUTIF-MOORAIF-MULTIMOORAIF-SAWIF-VIKORIF-WASPASIF-WPMIV-ARASIV-CODASIV-COPRASIV-EDASIV-MARCOSIV-MOORAIV-PROJECTIONIV-SAWIV-TODIMIV-TOPSISIV-VIKORIV-WASPASIVIF-COPRASL2T-CODASL2T-COPRASL2T-EDASL2T-SAWL2T-TODIML2T-TOPSISL2T-VIKORLINMAPLMAWMABACMAIRCAMARAMARCOSMAUTMHF-TOPSISMOORAMPF-ELECTRE-IMPF-ELECTRE-IIMPF-TOPSIS-LINGMULTIMOORAN-AROMANN-CODASN-EDASN-GRAN-MOORAN-MULTIMOORAN-PROMETHEEN-RAFSIN-RAWECN-SPOTISN-TODIMN-TOPSISN-VIKORN-WPMNAIADENSS-CODASOCRAORESTEOWAP-ARASP-AROMANP-COCOSOP-CODASP-COPRASP-DNMAP-EDASP-GRAP-MABACP-MARCOSP-MAUTP-MOORAP-MULTIMOORAP-OCRAP-PROMETHEEP-PSIP-RAFSIP-RAWECP-ROVP-SAWP-SPOTISP-TODIMP-TOPSISP-VIKORP-WASPASP-WISPP-WPMPAMPAMSSEM-IPAMSSEM-IIPF-ARASPF-COCOSOPF-CODASPF-COPRASPF-EDASPF-GRAPF-MABACPF-MARCOSPF-MOORAPF-PROMETHEEPF-SAWPF-TODIMPF-TOPSISPF-VIKORPF-WASPASPF-WPMPHF-EDASPHF-TOPSISPHF-VIKORPIF-ARASPIF-WASPASPL-EDASPL-MARCOSPL-TODIMPL-TOPSISPL-VIKORPROB-ARASPROMETHEEPROMETHEE-IPROMETHEE-IIIQR-ARASQR-COCOSOQR-CODASQR-COPRASQR-EDASQR-GRAQR-MABACQR-MARCOSQR-MOORAQR-PROMETHEEQR-SAWQR-TODIMQR-TOPSISQR-VIKORQR-WASPASQR-WPMQUALIFLEXRAFSIRAPSRATRAWECREGIMERIMROUGH-ARASROUGH-COPRASROUGH-DRSAROUGH-EDASROUGH-MABACROUGH-MARCOSROUGH-MOORAROUGH-SAWROUGH-TODIMROUGH-TOPSISROUGH-VIKORROUGH-WASPASROVSAWSF-ARASSF-COCOSOSF-CODASSF-COPRASSF-EDASSF-GRASF-MABACSF-MARCOSSF-MOORASF-PROMETHEESF-SAWSF-TODIMSF-TOPSISSF-VIKORSF-WASPASSF-WPMSIRSMARTSPOTISTAXONOMYTODIMTOPSISTOPSIS-SORTUTASTARVIKORWASPASWEBIRAWEDBAWISPWPMWSMZ-COPRASZ-EDASZ-MARCOSZ-TOPSISZ-VIKORZ-WASPAS

Similar methods

SD-WEIGHTCRITICCRITIC-MMPSISFZN-CRITICNMDROUGH-TOPSISPCA-WEIGHT

Related reference concepts

Decision Support SystemsMultidimensional ScalingWeighted ScoresDecision MakingPrincipal Component AnalysisEvaluation Criteria

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — CCSD (Criteria Correlation and Standard Deviation objective weighting). Retrieved 2026-07-20 from https://scholargate.app/en/decision-making/ccsd · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Wang, Y. M., Luo, Y.
Subfamily
Weight Objective
Year
2010
Type
Correlation-penalised standard-deviation weighting
Value Space
crisp
Uncertainty
None
Compensation
N/A
Rank Reversal
No
Related methods
AHPSORTAPLOCOARASAROMANARTASICOBRACOCOSOCODAS
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