Because of the efficiency of modeling fuzziness and vagueness, Z-number plays an important role in real practice. However, Z-numbers, defined in the real number field, lack the ability to process the quantum information in quantum environment. It is reasonable to generalize Z-number into its quantum counterpart. In this paper, we propose quantum Z-numbers (QZNs), which are the quantum generalization of Z-numbers. In addition, seven basic quantum fuzzy operations of QZNs and their corresponding quantum circuits are presented and illustrated by numerical examples. Moreover, based on QZNs, a novel quantum multi-attributes decision making (MADM) algorithm is proposed and applied in medical diagnosis. The results show that, with the help of quantum computation, the proposed algorithm can make diagnoses correctly and efficiently.
翻译：由于模拟模糊性和模糊性的效率,Z号在实际做法中起着重要作用。然而,在实际数字字段中定义的Z号缺乏在量子环境中处理量子信息的能力。将Z号概括为量子环境是合理的。在本文中,我们提议量子Z号,即Z号的量子一般化。此外,用数字实例来介绍和说明“N”及其相应的量子电路的7个基本量子模糊操作。此外,根据“N”数字,在医学诊断中提出并应用了一个新的量子多属性决策算法(MADM)。结果显示,在量子计算的帮助下,拟议的算法可以正确有效地进行诊断。
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