As the generalization of the classical fuzzy number, the concept of Z-number introduced by Zadeh indicates more ability to depict the human knowledge and judgments of both restraint and reliability as an order pair of fuzzy numbers. In indeterminacy and inconsistent environment, a neutrosophic set is described by the truth, falsity, and indeterminacy degrees, but they lack measures related to reliability. To describe the hybrid information of combining the truth, falsity and indeterminacy degrees with their corresponding reliability degrees, this paper first proposes the concept of a neutrosophic Z-number (NZN) set, which is a new framework of neutrosophic values combined with the neutrosophic measures of reliability, as the generalization of the Z-number and the neutrosophic set. Then, we define the operations of neutrosophic Z-numbers (NZNs) and a score function for ranking NZNs. Next, we present NZN weighted arithmetic averaging (NZNWAA) and NZN weighted geometric averaging (NZNWGA) operators to aggregate NZN information and investigate their properties. Regarding the NZNWAA and NZNWGA operators and the score function, a multicriteria decision making (MDM) approach is developed in the NZN environment. Finally, an illustrative example about the selection problem of business partners is given to demonstrate the applicability and effectiveness of the developed MDM approach in NZN setting.

作为经典模糊数的推广，Zadeh 引入的 Z 数概念更能将人类对约束性和可靠性的知识和判断描述为模糊数的顺序对。在不确定和不一致的环境中，一个中智集合被描述为真、假和不确定度，但它们缺乏与可靠性相关的度量。为了描述真假不确定度与其对应的可靠度相结合的混合信息，本文首先提出了中智Z数（NZN）集的概念，它是中智值结合中智测度的新框架。可靠性，作为 Z 数和中智集的推广。然后，我们定义了中智 Z 数 (NZN) 的运算和用于对 NZN 进行排名的评分函数。接下来，我们提出了 NZN 加权算术平均 (NZNWAA) 和 NZN 加权几何平均 (NZNWGA) 算子来聚合 NZN 信息并研究它们的属性。关于 NZNWAA 和 NZNWGA 算子和评分函数，在 NZN 环境中开发了一种多标准决策 (MDM) 方法。最后，给出了一个关于商业伙伴选择问题的说明性例子，以证明所开发的 MDM 方法在 NZN 环境中的适用性和有效性。关于 NZNWAA 和 NZNWGA 算子和评分函数，在 NZN 环境中开发了一种多标准决策 (MDM) 方法。最后，给出了一个关于商业伙伴选择问题的说明性例子，以证明所开发的 MDM 方法在 NZN 环境中的适用性和有效性。关于 NZNWAA 和 NZNWGA 算子和评分函数，在 NZN 环境中开发了一种多标准决策 (MDM) 方法。最后，给出了一个关于商业伙伴选择问题的说明性例子，以证明所开发的 MDM 方法在 NZN 环境中的适用性和有效性。