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A Quantum Probabilistic Linguistic Term Framework to Multi-attribute Decision-Making for Battlefield Situation Assessment
International Journal of Fuzzy Systems ( IF 4.3 ) Pub Date : 2021-07-25 , DOI: 10.1007/s40815-021-01151-5
Junyao Li 1 , Zhinan Hao 2
Affiliation  

The decision-making process is always associated with uncertainty and vagueness because of the incomplete decision data and unpredictable decision-making behavior. The concurrence of the epistemic uncertainty and the aleatory uncertainty, especially when only the qualitative data are accessible, poses more challenges to the decision-making. The probabilistic linguistic term set provides a flexible tool for data representation in such an environment. However, most of the existing decision-making methods for the probabilistic linguistic term sets depend on the aggregation operator. The subjectivity of the decision-makers and the decision-making behaviors are not fully considered. To solve this problem, a quantum-like probabilistic linguistic term decision-making framework is proposed, in which the quantum state, quantum data processing, and quantum interference effect are analyzed in detail. The decision-making beliefs of decision-makers are in a superposition state and their subjective relationships are depicted in the interference term. A multi-attribute decision-making method in this framework is then proposed for practical applications. Then the applications for sea-battlefield situation assessment are presented as the illustration and validation. A comparative analysis is also provided to depict the advantages of the proposed method, based on which appropriate conclusions and remarks are drawn.



中文翻译:

用于战场态势评估的多属性决策的量子概率语言术语框架

由于决策数据不完整和决策行为不可预测,决策过程总是伴随着不确定性和模糊性。认知不确定性和偶然性不确定性的同时存在,尤其是在只有定性数据可用的情况下,给决策带来了更多挑战。概率语言术语集为这种环境中的数据表示提供了灵活的工具。然而,大多数现有的概率语言术语集决策方法依赖于聚合算子。决策者的主观性和决策行为没有得到充分考虑。为了解决这个问题,提出了一种类量子概率语言术语决策框架,其中量子态、量子数据处理、并详细分析了量子干涉效应。决策者的决策信念处于叠加状态,干预项描述了他们的主观关系。然后提出了该框架中的多属性决策方法以用于实际应用。然后以海战态势评估的应用为例进行说明和验证。还提供了比较分析来描述所提出方法的优点,在此基础上得出适当的结论和评论。然后提出了该框架中的多属性决策方法以用于实际应用。然后以海战态势评估的应用为例进行说明和验证。还提供了比较分析来描述所提出方法的优点,在此基础上得出适当的结论和评论。然后提出了该框架中的多属性决策方法以用于实际应用。然后以海战态势评估的应用为例进行说明和验证。还提供了比较分析来描述所提出方法的优点,在此基础上得出适当的结论和评论。

更新日期:2021-07-25
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