Ashraf Khumara, Ali Zeeshan, Jana Chiranjibe, Alrasheedi Adel Fahad, Ivković Nikola, Tuličić Domagoj
Department of Mathematics and Statistics, Riphah International University, Islamabad, 44000, Pakistan.
Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Yunlin, Douliou, 64002, Taiwan.
Sci Rep. 2025 Jul 5;15(1):24049. doi: 10.1038/s41598-025-06226-z.
Circular bipolar complex fuzzy sets are more efficient to cope with awkward and vague data, because it is a modified technique of various existing tools, for instance, fuzzy sets and their extensions, bipolar fuzzy sets and their extensions, and circular fuzzy sets with their extensions. The main theme of this manuscript is to develop the Schweizer-Sklar operational laws for circular bipolar complex fuzzy information because these laws will be used in the construction of the prioritized aggregation operators for circular bipolar complex fuzzy sets. Therefore, after the analysis of the Schweizer-Sklar operational, we aim to derive the model of the Schweizer-Sklar prioritized averaging operator, Schweizer-Sklar prioritized weighted averaging operator, Schweizer-Sklar prioritized geometric operator, and Schweizer-Sklar prioritized weighted geometric operator for circular bipolar complex fuzzy sets. Thus, we use these operators for the construction of the multi-attributive border approximation area comparison network and the evaluation of the multi-attribute decision-making models. Further, the application of waste minimization strategies for environmental sustainability is very effective and is used to reduce the environmental impact of waste generated during disposal, production, and consumption. The key goal of this technique is to monitor the design systems, behavior, and procedures that reduce pollution, promote sustainable practice, and conserve resources in numerous communities and organizations. The key theme of this article is to analyze the problem of waste minimization strategies for environmental sustainability based on invented models. Finally, we demonstrate numerical examples based on decision-making techniques for addressing the comparison between proposed data with various existing models to describe the variety and worth of the designed approaches.
循环双极复模糊集在处理棘手和模糊数据方面更有效，因为它是对各种现有工具的一种改进技术，例如模糊集及其扩展、双极模糊集及其扩展以及循环模糊集及其扩展。本手稿的主要主题是为循环双极复模糊信息开发施韦泽 - 斯克拉运算定律，因为这些定律将用于构建循环双极复模糊集的优先聚合算子。因此，在分析施韦泽 - 斯克拉运算之后，我们旨在推导循环双极复模糊集的施韦泽 - 斯克拉优先平均算子、施韦泽 - 斯克拉优先加权平均算子、施韦泽 - 斯克拉优先几何算子和施韦泽 - 斯克拉优先加权几何算子的模型。因此，我们使用这些算子来构建多属性边界近似区域比较网络并评估多属性决策模型。此外，废物最小化策略在环境可持续性方面的应用非常有效，可用于减少处置、生产和消费过程中产生的废物对环境的影响。该技术的关键目标是监测那些在众多社区和组织中减少污染、促进可持续实践并节约资源的设计系统、行为和程序。本文的关键主题是基于发明的模型分析环境可持续性的废物最小化策略问题。最后，我们展示基于决策技术的数值示例，以解决所提出的数据与各种现有模型之间的比较，从而描述所设计方法的多样性和价值。
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