Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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Fuzzy Partitioned Discrete-event Systems Under Controllability

Authors
Shailendra Singh, S.P. Tiwari
Corresponding Author
Shailendra Singh
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.001How to use a DOI?
Keywords
Fuzzy partition, Fuzzy partitioned automaton, Fuzzy partitioned discrete-event system, Supervisory control
Abstract

This paper aims to study the fuzzy partitioned discrete-event systems and its supervisory control theory under full observation. Specifically, we introduce the concept of a fuzzy partitioned automaton corresponding to a given automaton. Further, we introduce the model of a fuzzy partitioned discrete-event system, which is described by using the concept of a fuzzy partitioned automaton. Furthermore, we introduce the model of a controlled system of a fuzzy partitioned discrete-event system under (fully observable) fuzzy supervisor. Interestingly, we underlay the relationships between the fuzzy languages generated/marked by controlled system and controllable, ℒm(𝒫)-closed fuzzy languages. Moreover, we talk about the supremal and infimal controllable fuzzy languages.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Volume>
Volume Title
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
978-94-6239-423-0
ISSN
2589-6644
DOI
10.2991/asum.k.210827.001How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Shailendra Singh
AU  - S.P. Tiwari
PY  - 2021
DA  - 2021/08/30
TI  - Fuzzy Partitioned Discrete-event Systems Under Controllability
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 1
EP  - 8
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.001
DO  - 10.2991/asum.k.210827.001
ID  - Singh2021
ER  -