This paper is towards the study of a fuzzy partitioned discrete-event system and its supervisory control theory under partial/full observations. Specifically, we study the concept of a fuzzy partitioned automaton corresponding to a given fuzzy automaton and use it to model the fuzzy partitioned discrete-event system. The behavior of such fuzzy partitioned discrete-event system is modeled by fuzzy language, which is generated by a fuzzy partitioned automaton. Further, we introduce the model of controlled systems of a fuzzy partitioned discrete-event system under (partially/fully observable) fuzzy supervisors. Furthermore, we establish the relationships between the fuzzy languages generated/marked by controlled systems and controllable, observable, ${\mathcal{L}}_m^{{\mathsf{P}}_{\mathsf{A}}}$-closed fuzzy languages. Moreover, we discuss the supremal/infimal controllable fuzzy languages and an infimal controllable, observable fuzzy language. Besides, we provide an application of the fuzzy partitioned discrete-event system in a real-life problem.

本文旨在研究部分/全部观测下的模糊分区离散事件系统及其监督控制理论。具体来说，我们研究与给定的模糊自动机相对应的模糊分区自动机的概念，并将其用于对模糊分区离散事件系统进行建模。这种模糊分区离散事件系统的行为是通过模糊语言建模的，该语言是由模糊分区自动机生成的。此外，我们介绍了在（部分/完全可观察）模糊监控器下的模糊分区离散事件系统的受控系统模型。此外，我们建立了受控系统生成/标记的模糊语言与可控，可观察，${\mathcal{大号}}_{米}^{{\mathsf{P}}_{\mathsf{一种}}}$封闭的模糊语言。此外，我们讨论了最高/最小可控模糊语言和最小可控，可观察模糊语言。此外，我们提供了模糊分区离散事件系统在现实生活中的应用。