A list of abbreviations.
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This study introduces operational laws for Aczél-Alsina aggregation within the framework of generalized bipolar neutrosophic sets (GBNS), tailored for group decision-making scenarios. Novel aggregation operators, including the Generalized Bipolar Neutrosophic Aczél-Alsina Weighted Average (GBNAAWA), Generalized Bipolar Neutrosophic Aczél-Alsina Ordered Weighted Average (GBNAAOWA), Generalized Bipolar Neutrosophic Aczél-Alsina Hybrid Weighted Average (GBNAAHWA), Generalized Bipolar Neutrosophic Aczél-Alsina Weighted Geometric (GBNAAWG), Generalized Bipolar Neutrosophic Aczél-Alsina Ordered Weighted Geometric (GBNAAOWG), and Generalized Bipolar Neutrosophic Aczél-Alsina Hybrid Weighted Geometric (GBNAAHWG), are proposed to address complex decision-making processes under uncertainty. The methodology is demonstrated through a case study and an illustrative example to validate its practical applicability. Comparative and sensitivity analyses highlight the robustness and adaptability of the proposed operators in various decision contexts. Key findings, discussions, and limitations are presented to provide insights into the method’s effectiveness and areas for future research. This work contributes to advancing decision-making models by integrating Aczél-Alsina aggregation with bipolar neutrosophic theory, offering a novel approach to handling ambiguity and conflicting information.
本研究针对群决策场景,在广义双极中性集(generalized bipolar neutrosophic sets, GBNS)的框架下,提出了Aczél-Alsina聚合的运算法则。本文提出了多款新型聚合算子,涵盖广义双极中性集Aczél-Alsina加权平均(GBNAAWA)、广义双极中性集Aczél-Alsina有序加权平均(GBNAAOWA)、广义双极中性集Aczél-Alsina混合加权平均(GBNAAHWA)、广义双极中性集Aczél-Alsina加权几何(GBNAAWG)、广义双极中性集Aczél-Alsina有序加权几何(GBNAAOWG)以及广义双极中性集Aczél-Alsina混合加权几何(GBNAAHWG),以处理不确定性环境下的复杂决策过程。通过案例研究与演示实例验证了所提方法的实际适用性。对比分析与敏感性分析结果表明,所提算子在各类决策场景中均具备良好的鲁棒性与适应性。本文同时阐明了核心研究结论、相关讨论及研究局限,以深入剖析该方法的有效性,并明确未来可拓展的研究方向。本研究通过将Aczél-Alsina聚合理论与双极中性集理论相融合,为处理歧义信息与冲突性信息提供了全新路径,进而推动决策模型的发展完善。



