System reliability design and evaluation have a significant effect on the competitiveness of products and the sustainable development of enterprises. In the initial stage of system design, it must be discussed the truth-membership function, indeterminacy-membership function and falsity-membership function of basic failure events from different perspectives which belong to neutrosophic environments. However, some of the failure information provided by different experts for system components in the process of system reliability design and evaluation simultaneously that include complete, uncertain and inconsistent information; this makes system reliability design and evaluation more difficult. In order to effectively deal with this issue, this paper proposes a novel reliability calculation method based on the neutrosophic set that are generalized from crisp sets, fuzzy sets and intuitionistic fuzzy sets. The proposed method provides 4 calculation results in aspects of reliability that include reliability interval of the truth-membership function, reliability interval of the indeterminacy membership function, reliability interval of the falsity-membership function, and the influence degree of each basic failure event for system failure. These results provide a reference for the allocation of available resources and future maintenance strategies. In order to demonstrate the applicability and practicability of the proposed method, an illustrative example of a milk manufacturing unit is provided, and simulation results are compared with those obtained using other reliability calculation methods.

中文翻译：

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中微环境下一种新的可靠性计算方法

系统可靠性设计和评估对产品的竞争力和企业的可持续发展具有显着影响。在系统设计的初始阶段，必须从属于中智环境的不同角度讨论基本故障事件的真隶属函数、不确定隶属函数和伪隶属函数。但是，不同专家在系统可靠性设计和评估过程中同时为系统部件提供的一些故障信息，包括完整的、不确定的和不一致的信息；这使得系统可靠性设计和评估变得更加困难。为了有效处理这个问题，本文提出了一种新的基于中智集的可靠性计算方法，该中智集是从清晰集、模糊集和直觉模糊集推广而来的。该方法在可靠性方面提供了4个计算结果，包括真隶属函数的可靠性区间、不确定隶属函数的可靠性区间、伪隶属函数的可靠性区间以及各基本故障事件对系统的影响程度。失败。这些结果为可用资源的分配和未来的维护策略提供了参考。为了证明所提出方法的适用性和实用性，提供了一个牛奶制造单元的说明性示例，