Artificial Intelligence

   

A Vector Interpretation of Quaternion Mass Function

Authors: Yige Xue, Yong Deng

Mass function vector is used to handle uncertainty. Quaternion number is the extent of real number. The mass function vector can extend the mass function by combining the vector. In this paper, the mass function vector is extended by quaternion number, named as Quaternion Mass Function Vector(QMFV). The proposed QMFV has the advantage to deal with uncertain information. When the quaternion number degenerates into the real number, then the QMFV degenerates into the quaternion mass function. In addition, if the probability of multiple subsets of frame of discernment is not assigned to the single subsets, then the mass function vector will degenerate into mass function in classical evidence theory. When the quaternion number degenerates into the real number, then the combination rule of quaternion mass function vectors degenerates into the combination rule of mass function vectors. In the case when the probability of multiple subsets of frame of discernment is not assigned to the single subsets, the combination rule of mass function vectors degenerates into generalized dempster's rule of combination. Numerical examples are applied to prove the efficiency of the proposed model. The experimental results show that the proposed model can apply the quaternion theory to mass function vector effectively and successfully.

Comments: 15 Pages.

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Submission history

[v1] 2020-06-25 11:22:05

Unique-IP document downloads: 313 times

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