In this contribution an original concept of stochastic stability (P-stability), formulated here to represent realistic stochastic nature of materials, is employed for stability analysis of material performance characteristics. Stochasticity in materials can be related, for example, to manufacturing processes, potential treatment of material, or properties of raw materials. On the other hand, performance characteristics, obtained through the novel fuzzy sets based multi-scale methodology, are also of stochastic nature. The particular strength of this newly developed P-stability, is its ability to analyse not only individual characteristics, but also multiple characteristics simultaneously. This methodology also allows to estimate and quantify an actual accuracy of obtained characteristics.

中文翻译：

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具有非确定性微观结构的材料性能特性的随机稳定性

在此贡献中，随机稳定性（P-稳定性）的原始概念在此处制定以表示材料的现实随机性质，用于材料性能特征的稳定性分析。例如，材料的随机性可能与制造过程、材料的潜在处理或原材料的特性有关。另一方面，通过新的基于模糊集的多尺度方法获得的性能特征也具有随机性。这种新开发的 P 稳定性的特殊优势在于它不仅能够分析单个特征，而且能够同时分析多个特征。该方法还允许估计和量化所获得特性的实际准确度。