A fair bed allocation during COVID-19 pandemic using TOPSIS technique based on correlation coefficient for interval-valued pythagorean fuzzy hypersoft set

  • 0School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China.

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Summary

This summary is machine-generated.

This study introduces correlation coefficients for interval-valued Pythagorean fuzzy hypersoft sets (IVPFHSS), enhancing statistical analysis in complex scenarios. These new measures improve decision-making, as demonstrated by optimizing hospital bed allocation during the COVID-19 pandemic.

Area Of Science

  • Statistics and Decision Science
  • Fuzzy Set Theory
  • Data Analysis

Background

  • Statistical analysis accuracy relies on data quality, which can be unclear or difficult to interpret.
  • Traditional correlation coefficients are not commonly applied to interval-valued Pythagorean fuzzy hypersoft sets (IVPFHSS).
  • IVPFHSS offers a generalized framework for more precise and accurate data analysis.

Purpose Of The Study

  • To introduce correlation coefficient (CC) and weighted correlation coefficient (WCC) for IVPFHSS.
  • To explore the essential properties of these newly defined correlation measures.
  • To demonstrate the practical application of CC and WCC in decision-making, specifically for hospital bed allocation during the COVID-19 pandemic using a TOPSIS model.

Main Methods

  • Development of correlation coefficient (CC) and weighted correlation coefficient (WCC) tailored for IVPFHSS.
  • Application of a Technique for Order Preference by Similarity to the Ideal Solution (TOPSIS) model for prioritization.
  • Numerical investigations including sensitivity analyses to evaluate decision structures.

Main Results

  • The study successfully defined and explored properties of CC and WCC for IVPFHSS.
  • The proposed methodology was applied to optimize hospital bed allocation during the COVID-19 pandemic, demonstrating its effectiveness.
  • The developed algorithm showed more consistent efficiency compared to prevalent models in determining optimal configurations.

Conclusions

  • The integration of correlation measures within IVPFHSS provides valuable insights for decision-making in uncertain environments.
  • The developed multi-attribute decision-making (MADM) methodology is robust and significant for complex problems.
  • Future work includes developing a dynamic bed allocation algorithm based on biogeography for enhanced decision systems.

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