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Integrating statistical correlation with discrete multi-criteria decision-making

Author

Listed:
  • Malik Haddad
  • David Sanders
  • Giles Tewkesbury
  • Nils Bausch

Abstract

This paper analyses two hypotheses that considers a correlation between the number of alternatives and the number of criteria considered in a multiple criteria decision-making (MCDM) problem with the minimum percentage change required in the lowest criterion weight to change the outcome of a method. Two MCDM methods are considered, the analytical hierarchy process (AHP) and the preference ranking organisation method for enrichment of evaluations II (PROMETHEE II) were applied to the same sets of criteria weights and performance measures. More than two thousand randomly generated sets of criteria weights and performance measures are considered. The minimum percentage change in the lowest criterion weight required to change the outcome of a method is calculated. Pearson's r parametric test is used to test the hypotheses. Results from parametric test were statistically significant and shows a weak negative correlation for Hypothesis 1 and weak positive correlation for Hypothesis 2.

Suggested Citation

  • Malik Haddad & David Sanders & Giles Tewkesbury & Nils Bausch, 2021. "Integrating statistical correlation with discrete multi-criteria decision-making," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 13(1), pages 1-15.
    • Handle: RePEc:ids:ijidsc:v:13:y:2021:i:1:p:1-15
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    Cited by:

    1. Seyyed Shahabaddin Hosseini Dehshiri & Bahar Firoozabadi & Hossein Afshin, 2023. "A multidisciplinary approach to identify dust storm sources based on measurement of alternatives and ranking according to compromise solution (MARCOS): case of Yazd in Iran," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 116(2), pages 1663-1688, March.

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