Quantum model of mass function
Quantum model of mass function
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DOI：
10.1002/int.22208
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发表时间：
2019-11-26
影响因子：
7
通讯作者：
Deng, Yong
中科院分区：
文献类型：
--
作者：
Gao, Xiaozhuan;Deng, Yong
D-S证据理论是经典概率论的推广，由于其在不确定性建模方面的灵活性和有效性，在许多领域得到了广泛的应用。测不准原理是量子理论中最重要的原理之一，在许多领域都有应用。如何建立量子理论与D-S证据理论之间的联系也是一个悬而未决的问题。因此，本文提出了质量函数的量子模型，以考虑量子理论和D-S证据理论。在所提出的量子方法中，量子质量函数采用埃克塞特公式表示。本文还讨论了基于质量函数量子模型的一些操作。此外，本文还通过数值例子讨论了量子质量函数与经典质量函数之间的关系。经典质量函数是量子质量函数不存在干涉时的一种特殊情况。与其他量子模型类似，该研究为量子信息提供了更广泛的应用。
Dempster-Shafer (D-S) evidence theory has been used in many fields due to the flexibility and effectiveness in modelling uncertainties, which is the extension of classical probability. Uncertainty principle is one of the most important principles in quantum theory, which has been used in many fields. How to set the connection between quantum theory and D-S evidence theory is also an open issue. Hence, the paper proposed the quantum model of mass function to consider the quantum theory and D-S evidence theory. In the proposed quantum method, quantum mass function uses euler formula to represent. The paper also discusses some operations based on the quantum model of the mass function. Moreover, the paper also discusses the relationship between quantum mass function and classical mass function by using some numerical examples. Classical mass function is a special case when there is no interference in quantum mass function. Similar to the other quantum models, this study provides a more wide application in quantum information.