School of Information Engineering, Tianjin University of Commerce, Tianjin, 300134, China.
Sci Rep. 2022 Dec 29;12(1):22525. doi: 10.1038/s41598-022-27103-z.
The development of information measures associated with interval-valued intuitionistic fuzzy values (IVIFVs) has been an important research area over the past few decades. In the literature, the existing decision -making method using IVIFVs has some drawbacks, and the identification degree and information utilization suffer from a gap in the evaluation of alternatives. Therefore, the need for a reliable, useful, and comprehensive decision method is obvious. To obtain more accurate and reliable evaluation results, multiattribute group decision-making (MAGDM) problems, where the same attribute weights given by different decision-makers are different, are studied in this paper. First, the novel operational laws of IVIFVs and a new interval-valued intuitionistic fuzzy weighted arithmetic aggregation operator are defined to overcome the drawbacks of the IIFWA aggregation operator and avoid losing or distorting the original decision information in the process of aggregation. Second, the mean and variance of the possibility degrees of IVIFVs are defined based on the concept of a definite integral. Third, a novel MAGDM method based on the new aggregation operator and the mean and variance of the possibility degrees of IVIFVs is proposed to improve the identification of the evaluation results and ensure the effectiveness of the ranking order. Finally, the effectiveness and practicability of the proposed method are verified by an air combat training accuracy assessment example. This example can be used to assist decision-makers in evaluating air combat training hits in a timely and efficient manner, providing an objective, scientific basis for the realization and application of air combat training hit assessment and a new method and idea for MAGDM problems in an interval-valued intuitionistic fuzzy environment.
在过去几十年中，与区间直觉模糊值（IVIFV）相关的信息测度的发展一直是一个重要的研究领域。在文献中，使用 IVIFV 的现有决策方法存在一些缺点，并且替代方案的评估存在识别度和信息利用方面的差距。因此，需要一种可靠、有用和全面的决策方法。为了获得更准确和可靠的评估结果，本文研究了多属性群决策（MAGDM）问题，其中不同决策者给出的相同属性权重不同。首先，定义了 IVIFV 的新颖运算定律和新的区间直觉模糊加权算术聚合算子，以克服 IIFWA 聚合算子的缺点，并避免在聚合过程中丢失或扭曲原始决策信息。其次，基于定积分的概念定义了 IVIFV 的可能性度的均值和方差。第三，提出了一种基于新聚合算子和 IVIFV 的可能性度的均值和方差的新的 MAGDM 方法，以提高评估结果的识别度并确保排名的有效性。最后，通过空战训练精度评估实例验证了所提出方法的有效性和实用性。该实例可用于协助决策者及时有效地评估空战训练命中情况，为空战训练命中评估的实现和应用提供客观、科学的依据，并为区间直觉模糊环境中的 MAGDM 问题提供了新的方法和思路。
