<p>The utilization of scoring functions in multi-criteria decision-making processes holds paramount significance in various domains. This study delves into the Effects of Scoring Functions augmented with Pythagorean Fuzzy Set Measures in the context of multi-criteria decision-making. Pythagorean Fuzzy Sets, an extension of traditional fuzzy sets, provide a more nuanced approach to modelling uncertainty and vagueness in decision-making situations. The objective of this research is to comprehensively analyse and evaluate the impact of integrating Pythagorean Fuzzy Set Measures into existing scoring functions, thereby enhancing their ability to handle complex and uncertain information. The primary focus of the research is the selection of mobile apps for online food delivery systems based on multi-criteria decision-making techniques. Food can be ordered online and delivered to our homes in minutes or hours, depending on the order’s size and location. Many established companies and new ventures are working to improve food delivery services. In this study, we have considered benefit, cost, or both as a Pythagorean fuzzy set. The research aims to elucidate how this integration contributes to more accurate and robust decision outcomes, particularly when confronted with imprecise, incomplete, or conflicting data. The findings not only offer insights into the practical implications of employing these advanced techniques but also provide a framework for practitioners to better navigate multi-criteria decision-making challenges in real-world applications. Here, we have determined the top online food delivery app based on a few criteria in the current competitive environment with the help of many scoring measures for Pythagorean fuzzy sets using TOPSIS approach. Subsequently, a numerical example has been considered to assess the performance of different scoring functions enriched with Pythagorean Fuzzy Set Measures across a range of multi-criteria decision scenarios.</p>

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Pythagorean fuzzy set measures and the effects of scoring functions in multi-criteria decision-making

  • Jogjiban Chakraborty,
  • Sathi Mukherjee,
  • Laxminarayan Sahoo

摘要

The utilization of scoring functions in multi-criteria decision-making processes holds paramount significance in various domains. This study delves into the Effects of Scoring Functions augmented with Pythagorean Fuzzy Set Measures in the context of multi-criteria decision-making. Pythagorean Fuzzy Sets, an extension of traditional fuzzy sets, provide a more nuanced approach to modelling uncertainty and vagueness in decision-making situations. The objective of this research is to comprehensively analyse and evaluate the impact of integrating Pythagorean Fuzzy Set Measures into existing scoring functions, thereby enhancing their ability to handle complex and uncertain information. The primary focus of the research is the selection of mobile apps for online food delivery systems based on multi-criteria decision-making techniques. Food can be ordered online and delivered to our homes in minutes or hours, depending on the order’s size and location. Many established companies and new ventures are working to improve food delivery services. In this study, we have considered benefit, cost, or both as a Pythagorean fuzzy set. The research aims to elucidate how this integration contributes to more accurate and robust decision outcomes, particularly when confronted with imprecise, incomplete, or conflicting data. The findings not only offer insights into the practical implications of employing these advanced techniques but also provide a framework for practitioners to better navigate multi-criteria decision-making challenges in real-world applications. Here, we have determined the top online food delivery app based on a few criteria in the current competitive environment with the help of many scoring measures for Pythagorean fuzzy sets using TOPSIS approach. Subsequently, a numerical example has been considered to assess the performance of different scoring functions enriched with Pythagorean Fuzzy Set Measures across a range of multi-criteria decision scenarios.