Fuzzy partitioned discrete-event system and its supervisory control
Shailendra Singh, S. P. Tiwari · International Journal of General Systems · 2021
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, LmPA-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.