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Generalized quantum evidence theory
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AI
DOI：10.1007/s10489-022-04181-0.png)
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Abstract
En 中文
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.
Keywords:
Generalized quantum evidence theory
Generalized quantum mass function
Generalized quantum belief function
Generalized quantum plausibility function
Complex evidence theory
Complex mass function
Uncertainty reasoning
Interference effect
Quantum multisource information fusion