The relationship of controllability between classical and fuzzy discrete-event systems |
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| Authors: | Junping Liu Yongming Li |
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| Affiliation: | aCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China;bCollege of Computer Science, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | We have known that the controllability of classical discrete-event systems has already been extended into fuzzy discrete-event systems. In this paper, firstly, we recall some related definitions and results of the controllability for classical and fuzzy discrete-event systems, respectively. Secondly, we are concerned with the relationship of the controllability between classical and fuzzy discrete-event systems. In particular, we show that there is an equivalence of the controllability between the two systems to some extent, some special proofs are also presented. Finally, we use this equivalence to extend some general controllability properties of classical discrete-event systems into fuzzy ones. |
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| Keywords: | Discrete-event systems Fuzzy discrete-event systems Controllability Controllable Uncontrollable |
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