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Generalized quantum evidence theory

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Abstract

With the development of quantum decision making, how to bridge classical theory with quantum framework has gained much attention in past few years. Recently, a complex evidence theory (CET), as a generalized Dempster–Shafer evidence theory was presented to handle uncertainty on the complex plane. Whereas, CET focuses on a closed world, where the frame of discernment is complete with exhaustive and complete elements. To address this limitation, in this paper, we generalize CET to quantum framework of Hilbert space in an open world, and propose a generalized quantum evidence theory (GQET). On the basis of GQET, a quantum multisource information fusion algorithm is proposed to handle the uncertainty in an open world. To verify its effectiveness, we apply the proposed quantum multisource information fusion algorithm in a practical classification fusion.

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Acknowledgements

The author greatly appreciates the reviewers’ suggestions and the editor’s encouragement. This research is supported by the National Natural Science Foundation of China (No. 62003280), Chongqing Talents: Exceptional Young Talents Project (No. cstc2022ycjh-bgzxm0070), Natural Science Foundation of Chongqing, China (No. 2022NSCQ-MSX2993), and Chongqing Overseas Scholars Innovation Program (No. cx2022024).

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  1. School of Big Data and Software Engineering, Chongqing University, Chongqing, 401331, China

    Fuyuan Xiao

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Xiao, F. Generalized quantum evidence theory. Appl Intell 53, 14329–14344 (2023). https://doi.org/10.1007/s10489-022-04181-0

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