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Preference-based Regret Three-Way Decision Method on Multiple Decision Information Systems with Linguistic Z-numbers

Information Sciences(2024)CCF BSCI 1区

Beijing Inst Technol

Cited 8|Views23
Abstract
Three-way decision theory (3WD) provides a reasonable solution to solve multi-criteria decision-making (MCDM) problems and reduces more decision risks than two-way decision (2WD). However, the impact of preferences on decision results has not been reasonably considered in 3WD. Thus, this paper proposes a preference-based regret 3WD model on multiple decision information systems (MDISs) with linguistic Z-numbers (LZNs) to address the defect. First of all, a Z-LINMAP method is proposed by extending LINMAP method into the LZNs environment to derive criteria weights, Z-number ideal solutions and preference coefficients. On the basis of preference coefficients, the consistency-order and inconsistency-order are defined and further the consistency and inconsistency equivalence classes are presented to derive the conditional probabilities of alternatives. Then, the regret loss functions based on regret theory are presented and the regret 3WD rules of a single decision information system are designed. Furthermore, the weighted expected regret loss function and loss score function are defined to classify and rank all alternatives for MDISs. Finally, the proposed 3WD model is applied to the image recognition case with human-computer interaction to verify the effectiveness, and the comparative and sensitivity analyses are carried out to demonstrate the feasibility of our model.
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Key words
Preference-based three-way decision,Multi-criteria decision-making,LINMAP method,Regret theory,Multiple decision information systems
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要点】:本文提出了一种基于偏好遗憾的三元决策方法,用于处理具有语言Z数的多决策信息系统,以解决多准则决策问题并减少决策风险。

方法】:通过扩展LINMAP方法到语言Z数环境,提出Z-LINMAP方法来确定准则权重、Z数理想解和偏好系数,进而定义一致性和不一致性顺序及其等价类,推导出方案的 条件概率。

实验】:使用提出的偏好遗憾三元决策模型对图像识别案例进行验证,通过比较分析和敏感性分析展示了模型的有效性和可行性,实验数据集未在摘要中提及。