Quantum Representation of Basic Probability Assignments Based on Mixed Quantum States

科研成果: 书/报告/会议事项章节会议稿件同行评审

10 引用 (Scopus)

摘要

Understanding the uncertainty is a very important issue in Dempster-Shafer theory (DST) for modelling and fusing uncertain information. In traditional views, the uncertainty involved in a basic probability assignment (BPA) of DST is interpreted in many ways, including intervals of probabilities, non-additive probabilities, degrees of belief, random sets, etc. In this paper, the idea of quantum is imported in DST to interpret the origin of uncertainty in a BPA. Within the study, a novel scheme is proposed to implement the quantum representation of BPA. and several important concepts, including degree of quantum effect, generation of belief and plausibility measures based on BPA's quantum representation, quantum entropy and observed entropy of a BPA, as well as their properties, are also investigated. The study provides a new viewpoint to understand the uncertainty involved in a BPA and interpret the BPA. Numerical examples and analysis about the quantum representation of BPA are given to illustrate the study.

源语言英语
主期刊名Proceedings of 2021 IEEE 24th International Conference on Information Fusion, FUSION 2021
出版商Institute of Electrical and Electronics Engineers Inc.
ISBN(电子版)9781737749714
出版状态已出版 - 2021
活动24th IEEE International Conference on Information Fusion, FUSION 2021 - Sun City, 南非
期限: 1 11月 20214 11月 2021

出版系列

姓名Proceedings of 2021 IEEE 24th International Conference on Information Fusion, FUSION 2021

会议

会议24th IEEE International Conference on Information Fusion, FUSION 2021
国家/地区南非
Sun City
时期1/11/214/11/21

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