基于量子认知的信任网络概率语言多属性群决策方法

字映萍, 刘新旺, 韩世莲

系统工程理论与实践 ›› 2024, Vol. 44 ›› Issue (8) : 2645-2665.

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系统工程理论与实践 ›› 2024, Vol. 44 ›› Issue (8) : 2645-2665. DOI: 10.12011/SETP2023-1124
论文

基于量子认知的信任网络概率语言多属性群决策方法

    字映萍1, 刘新旺1, 韩世莲2
作者信息 +

Quantum cognition based on trust network multi-attribute group decision-making method with probabilistic linguistic information

    ZI Yingping1, LIU Xinwang1, HAN Shilian2
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文章历史 +

摘要

论文针对信任网络和决策过程中决策者信念偏差和行为交互导致的顺序效应和干扰效应, 基于量子认知理论提出了一种考虑信任的概率语言多属性群决策模型. 首先, 论文基于量子概率理论构建了考虑顺序效应和干扰效应的信任传递与集成模型. 其次, 利用概率振幅拓展了概率语言术语定性信息表征方法, 分别基于离差最大化法和决策者相似性与相对信任度确定了决策问题的属性权重和决策者自身权重. 然后, 通过相似性启发式算法获取干扰项的相位角, 使用类量子贝叶斯网络集成不同决策者相互干扰的评价信息, 得到备选方案的综合评分和最优方案. 最后, 论文通过联合风险投资项目选择算例对所提出方法进行验证, 敏感性分析和对比分析验证了该方法的合理性和创新性.

Abstract

Aiming at the order effects and interference effects caused by decision-makers' belief bias and interaction in trust network and decision process, a quantum cognition based on trust network multi-attribute group decision-making model with probabilistic linguistic information was proposed. First, a trust propagation and integration model considering order effects and interference effects was constructed based on quantum probability theory. Second, the probabilistic linguistic qualitative information representation method was extended by probability amplitude. The attribute weights of decision-making problem were determined by the maximum deviation method, and the weights of decision-makers were determined by the similarity and relative trust analysis. Then, the interference phase angle was obtained by similarity heuristic algorithm, and the evaluation of different decision-makers interfering each other was integrated by quantum like Bayesian network to obtain the comprehensive score and the optimal. Finally, a venture capital syndication was provided as an example. The rationality and innovation of the proposed method was proved by sensitivity and comparative analysis.

关键词

量子概率 / 信任网络 / 多属性群决策 / 类量子贝叶斯网络 / 概率语言术语集

Key words

quantum probability / trust network / multi-attribute group decision making / quantum like Bayesian network / probabilistic linguistic term set

引用本文

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导出引用
字映萍 , 刘新旺 , 韩世莲. 基于量子认知的信任网络概率语言多属性群决策方法. 系统工程理论与实践, 2024, 44(8): 2645-2665 https://doi.org/10.12011/SETP2023-1124
ZI Yingping , LIU Xinwang , HAN Shilian. Quantum cognition based on trust network multi-attribute group decision-making method with probabilistic linguistic information. Systems Engineering - Theory & Practice, 2024, 44(8): 2645-2665 https://doi.org/10.12011/SETP2023-1124
中图分类号： C934   

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基金

国家自然科学基金(72371071,72071045)
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