<p>In uncertain circumstances, many aspects of a sustainable life require analysis. Decision-making in uncertain environments is a critical challenge, especially when evaluating alternatives with diverse attributes and costs. To aid decision-makers in navigating ambiguity and minimizing risk, this research introduces a novel framework the complex picture fuzzy soft set (CPFSS). This model helps experts make better decisions by combining two important parts: amplitude, which shows fuzzy membership, and phase, which shows periodicity in a complex plane. Unlike traditional methods that treat uncertainty as static, CPFSS provides a multi-dimensional, time sensitive approach, ensuring more accurate and adaptable decision-making in real-world scenarios. We delve into the mathematical features, relationships, and structures that arise from the combination of complex numbers with conceptually vague, fuzzy ideas. The final section explores a computational approach and methodology for handling CPFSS, allowing for its practical application. We offer empirical support for our claims by applying our findings to actual situations and demonstrating enhanced decision-making techniques for sustainable living. Furthermore, statistical tests confirm the validity and reliability of the model, reinforcing its suitability for complex decision-making scenarios.</p>

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Enhancing decision-making in environmental management: a complex picture fuzzy soft set approach to sustainability assessment

  • Muhammad Kamran,
  • Qingyu Zhang,
  • Shahzaib Ashraf,
  • Muhammad Nadeem

摘要

In uncertain circumstances, many aspects of a sustainable life require analysis. Decision-making in uncertain environments is a critical challenge, especially when evaluating alternatives with diverse attributes and costs. To aid decision-makers in navigating ambiguity and minimizing risk, this research introduces a novel framework the complex picture fuzzy soft set (CPFSS). This model helps experts make better decisions by combining two important parts: amplitude, which shows fuzzy membership, and phase, which shows periodicity in a complex plane. Unlike traditional methods that treat uncertainty as static, CPFSS provides a multi-dimensional, time sensitive approach, ensuring more accurate and adaptable decision-making in real-world scenarios. We delve into the mathematical features, relationships, and structures that arise from the combination of complex numbers with conceptually vague, fuzzy ideas. The final section explores a computational approach and methodology for handling CPFSS, allowing for its practical application. We offer empirical support for our claims by applying our findings to actual situations and demonstrating enhanced decision-making techniques for sustainable living. Furthermore, statistical tests confirm the validity and reliability of the model, reinforcing its suitability for complex decision-making scenarios.