多属性群体决策的有限理性共识达成过程与后悔理论和加权矩估计

IF 14.7 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Information Fusion Pub Date : 2024-10-29 DOI:10.1016/j.inffus.2024.102778
Feifei Jin , Xiaoxuan Gao , Ligang Zhou
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引用次数: 0

摘要

概率语言术语集在决策领域发挥着特别积极的作用,尤其是对于倾向于通过自然语言变量传递评价信息的决策者(DMs)而言。为了有效改善目前多属性群体决策(MAGDM)的困境,本文提出了一种新的加权矩估计概率语言MAGDM方法。首先,考虑到 DMs 厌恶后悔的心理,我们利用后悔理论将原始决策矩阵转化为效用矩阵,DMs 在 MAGDM 过程中通常表现出有限理性。然后,研究了组合加权法和加权矩估计模型来确定属性权重,使之更加科学合理。随后,在达成共识的过程中,设计了一种新的信任传播机制来推导专家权重和调整系数,其中我们考虑了 DM 之间最短和最长的传播路径。最后,利用原煤质量评估对 MAGDM 方法的适用性进行了实证验证,并进行了敏感性分析和比较分析,以强调其优势和稳健性。
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Bounded rationality consensus reaching process with regret theory and weighted Moment estimation for multi-attribute group decision making
Probabilistic linguistic term sets perform a particularly active role in the field of decision-making, particularly regarding decision-makers (DMs) who are inclined to convey evaluative information through natural linguistic variables. To effectively improve the current dilemma of multi-attribute group decision-making (MAGDM), this article put forward a new probabilistic linguistic MAGDM method with weighted Moment estimation. First, taking into account the psychological aspect of regret aversion among DMs, we use regret theory to transform the original decision-making matrix into the utility matrix, in which DMs usually exhibit limited rationality during the process of MAGDM. Then, a combined weighting method and a weighted Moment estimation model are investigated to determine the attribute weights, which are more scientifically and reasonably. Subsequently, in the process of consensus reaching process, a new trust propagation mechanism is designed to derive the weights of experts and the adjustment coefficients, in which we consider the shortest and longest propagation paths among DMs. Finally, an empirical validation of the MAGDM method's applicability is conducted utilizing raw coal quality assessment, accompanied by sensitivity and comparative analyses that underscore its advantages and robustness.
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来源期刊
Information Fusion
Information Fusion 工程技术-计算机:理论方法
CiteScore
33.20
自引率
4.30%
发文量
161
审稿时长
7.9 months
期刊介绍: Information Fusion serves as a central platform for showcasing advancements in multi-sensor, multi-source, multi-process information fusion, fostering collaboration among diverse disciplines driving its progress. It is the leading outlet for sharing research and development in this field, focusing on architectures, algorithms, and applications. Papers dealing with fundamental theoretical analyses as well as those demonstrating their application to real-world problems will be welcome.
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