Artificial Intelligence


Quantum Model of Mass Function

Authors: Xiaozhuan Gao, Yong Deng

Dempster-Shafer (D-S) evidence theory has been used in many fields due to the flexibility and effectiveness in modeling uncertainties, which is the extension of classical probability. Recently, quantum probability which can express uncertainty has been used in many fields due to the existing of interference. Especially for human decision and cognition, interference can better model the process of decision. In order to better expand the applications of D-S evidence theory, the paper proposed quantum model of mass function which can consider the interference. In proposed quantum method, quantum mass function uses euler formula to represent. The paper also discusses some operations in quantum model of 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 the special case when there is no interference in quantum mass function.

Comments: 21 Pages.

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Submission history

[v1] 2019-05-29 08:14:55

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