Using the multi-criteria decision-making (MCDM) approach, this research piece addresses the urgent problems of environmental degradation and climate change. The method provides a structured way to examine and compare different criteria and options, which improves the precision of decision-making. In order to make this method even better, we combine Zadeh's -numbers with limitations and reliability factors in an effort to fill the current knowledge vacuum about their maximum potential. We investigate -numbers, which are unexpected and fuzzy, in an effort to use them to our advantage by combining them with spherical fuzzy sets (SFSs). We present the idea of spherical fuzzy -numbers () that allow for flexible and adaptive handling of uncertain data by facilitating fast pairwise comparisons of decision-making options. We develop a full set of operational rules and create aggregation operators (AOs) based on the Sugeno Weber -norm and -conorm to formalize this new method. We use the average and geometric AOs, two of these operators, to show how our suggested technique works and how practical it is. In decision-making situations including climate change assessment, our comparison study highlights the importance of the suggested operators and approaches, especially in relation to the greenhouse effect. Our study helps us understand -numbers better and how they might be used to handle uncertain data by tackling the interaction between fuzziness and randomness. By emphasizing clarity and specificity, our research provides a solid basis for better decision-making and handling of ambiguity in several fields.

中文翻译：

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球形模糊Z数下基于Sugeno Weber模型的温室效应气候变化多准则评估

该研究利用多标准决策（MCDM）方法解决了环境退化和气候变化的紧迫问题。该方法提供了一种结构化的方式来检查和比较不同的标准和选项，从而提高了决策的准确性。为了使这种方法变得更好，我们将扎德的 - 数字与限制和可靠性因素结合起来，以努力填补当前有关其最大潜力的知识真空。我们研究意外且模糊的数字，试图通过将它们与球形模糊集（SFS）相结合来利用它们来发挥我们的优势。我们提出了球形模糊数（）的想法，它可以通过促进决策选项的快速成对比较来灵活和自适应地处理不确定数据。我们开发了一整套操作规则，并基于 Sugeno Weber -norm 和 -conorm 创建聚合算子 (AO)，以形式化这种新方法。我们使用平均 AO 和几何 AO（其中两个运算符）来展示我们建议的技术如何工作以及它的实用性。在包括气候变化评估在内的决策情况下，我们的比较研究强调了建议的操作者和方法的重要性，特别是在温室效应方面。我们的研究帮助我们更好地理解数字，以及如何通过解决模糊性和随机性之间的相互作用来使用它们来处理不确定的数据。通过强调清晰度和特异性，我们的研究为更好地决策和处理多个领域的模糊性提供了坚实的基础。