基于量子演化的信度函数概率转换

doi:10.7527/S1000-6893.2022.26947

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基于量子演化的信度函数概率转换

周千里¹, 邓勇^1,2

1. 电子科技大学基础与前沿研究院，成都 611731;
2. 陕西师范大学教育学院，西安 710062

收稿日期:2022-01-12 修回日期:2022-01-13 发布日期:2022-11-15
通讯作者: 邓勇,E-mail:Dengentropy@uestc.edu.cn E-mail:Dengentropy@uestc.edu.cn
基金资助:
国家自然科学基金（61973332）

Quantum-like probability transformation of belief function

ZHOU Qianli¹, DENG Yong^1,2

1. Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu 611731, China;
2. School of Education, Shaanxi Normal University, Xi'an 710062, China

Received:2022-01-12 Revised:2022-01-13 Published:2022-11-15
Supported by:
National Natural Science Foundation of China （61973332）

摘要/Abstract

摘要： 将信度函数转换为合理的概率分布是解决信息融合、专家决策以及多目标分类问题的关键。基于量子基本信度指派（QBBA）的生成方法，构建了一种信度演化有向无环图（BEDAG），并赋予了信度函数的概率转换问题一个新的解释。在此基础上，利用量子计算中的RY旋转门来模拟QBBA的信度在BEDAG传递的过程，并提出了一种新的概率转换方法。根据概率信息容量（PIC）这一指标验证，相比之前提出的经典方法，对于相同的信度函数，该方法可以产生更高的PIC值。因此，提出的方法更适合用于不确定环境下的信息融合与决策。

关键词: Dempster-Shafer证据理论, 量子信度函数, 量子演化, 有向无环图, 概率转换

Abstract: Transforming the belief function into a reasonable probability distribution is the key to solving the problems of information fusion， expert decision-making and multi-objective classification. In this paper， based on the generation method of Quantum Basic Belief Assignment （QBBA）， a Belief Evolution Directed Acyclic Graph （BEDAG） is constructed， and a new interpretation of probability transformation is proposed. On this basis， this paper uses the RY gate in quantum computing to simulate the process of belief evolution of QBBA in BEDAG， and proposes a new probability transformation method. According to the indicator of Probability Information Content （PIC）， for the same belief functions， the proposed method can generate higher PIC value than the classical method proposed before. Therefore， the proposed method is more suitable for information fusion and decision-making in uncertain environments.

Key words: Dempster-Shafer evidence theory, quantum belief function, quantum evolution, directed acyclic graph, probability transformation

中图分类号:

V19
F407.67

周千里, 邓勇. 基于量子演化的信度函数概率转换[J]. 航空学报, 2022, 43(S1): 726947-726947.

ZHOU Qianli, DENG Yong. Quantum-like probability transformation of belief function[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(S1): 726947-726947.

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基于量子演化的信度函数概率转换

Quantum-like probability transformation of belief function

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