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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2022, Vol. 43 ›› Issue (S1): 726947-726947.doi: 10.7527/S1000-6893.2022.26947

• Information Fusion • Previous Articles     Next Articles

Quantum-like probability transformation of belief function

ZHOU Qianli1, DENG Yong1,2   

  1. 1. Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu 611731, China;
    2. School of Education, Shaanxi Normal University, Xi'an 710062, China
  • Received:2022-01-12 Revised:2022-01-13 Published:2022-11-15
  • Supported by:
    National Natural Science Foundation of China (61973332)

Abstract: Transforming the belief function into a reasonable probability distribution is the key to solving the problems of information fusion, expert decision-making and multi-objective classification. In this paper, based on the generation method of Quantum Basic Belief Assignment (QBBA), a Belief Evolution Directed Acyclic Graph (BEDAG) is constructed, and a new interpretation of probability transformation is proposed. On this basis, this paper uses the RY gate in quantum computing to simulate the process of belief evolution of QBBA in BEDAG, and proposes a new probability transformation method. According to the indicator of Probability Information Content (PIC), for the same belief functions, the proposed method can generate higher PIC value than the classical method proposed before. Therefore, the proposed method is more suitable for information fusion and decision-making in uncertain environments.

Key words: Dempster-Shafer evidence theory, quantum belief function, quantum evolution, directed acyclic graph, probability transformation

CLC Number: