4.7 Article

TDQMF: Two-Dimensional Quantum Mass Function

Journal

INFORMATION SCIENCES
Volume 621, Issue -, Pages 749-765

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2022.11.036

Keywords

Quantum mass function; Dempster-Shafer evidence theory; Uncertainties; Two-dimension

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A new method called two-dimensional quantum mass function (TDQMF) is proposed to handle uncertain quantum information, which offers more flexibility and effectiveness in handling uncertainty in the field of quantum compared with the original quantum mass function.
Quantum mass function has been applied in lots of fields because of its efficiency and valid-ity of managing uncertainties in the form of quantum which can be regarded as an exten-sion of classical Dempster-Shafer (D-S) evidence theory. However, how to handle uncertainties in the form of quantum is still an open issue. In this paper, a new method is proposed to dispose uncertain quantum information, which is called two-dimensional quantum mass function (TDQMF). A TDQMF is consist of two elements, T 1/4 o01; 02 thorn , both of the 0s are quantum mass functions, in which the 02 is an indicator of the reliability on 01. More flexibility and effectiveness are offered in handling uncertainty in the field of quantum by the proposed method compared with original quantum mass function. Besides, some numerical examples are provided and some practical applications are given to verify its correctness and validity. CO 2022 Elsevier Inc. All rights reserved.

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