Wang Qiwen, Song Guibao, Yang Xiuxia
Naval Aviation University, Yantai 264001, China.
Math Biosci Eng. 2023 Dec 5;20(12):21514-21536. doi: 10.3934/mbe.2023952.
Assessing potential threats typically necessitates the use of a robust mathematical model, a comprehensive evaluation method and universal decision rules. A novel approach is utilized in this study to optimize existing threat assessment (TA) algorithms and three-way decision models (3WDMs) are leveraged that incorporate decision-theoretic rough sets (DTRSs) within dynamic intuitionistic fuzzy (IF) environments to create a mixed-attitude 3WDM based on the IF-VIKOR-GRA method in the context of aviation warfare. The primary objectives of this study include determining conditional probabilities for IF three-way decisions (3WDs) and establishing mixed-attitude decision thresholds. Both the target attribute and loss function are expressed in the form of intuitionistic fuzzy numbers (IFNs). To calculate these conditional probabilities, an IF technique is used to combine the multi-attribute decision-making (MADM) method VIKOR and the grey relational analysis (GRA) method, while also taking into account the risk-related preferences of decision-makers (DMs). Optimistic and pessimistic 3WDMs are developed from the perspectives of membership degree and non-membership degree, then subsequently integrated into the comprehensive mixed-attitude 3WDM. The feasibility and effectiveness of this methodology are demonstrated through a numerical example and by comparison to other existing approaches.
评估潜在威胁通常需要使用强大的数学模型、全面的评估方法和通用的决策规则。本研究采用一种新颖的方法来优化现有的威胁评估（TA）算法，并利用三方决策模型（3WDM），该模型在动态直觉模糊（IF）环境中纳入决策理论粗糙集（DTRS），以在航空作战背景下基于IF-VIKOR-GRA方法创建混合态度3WDM。本研究的主要目标包括确定IF三方决策（3WD）的条件概率并建立混合态度决策阈值。目标属性和损失函数均以直觉模糊数（IFN）的形式表示。为了计算这些条件概率，采用IF技术将多属性决策（MADM）方法VIKOR和灰色关联分析（GRA）方法相结合，同时还考虑了决策者（DM）与风险相关的偏好。从隶属度和非隶属度的角度开发了乐观和悲观3WDM，然后将其整合到综合混合态度3WDM中。通过数值示例并与其他现有方法进行比较，证明了该方法的可行性和有效性。
