Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

On a category of deterministic fuzzy automata

Authors
Priyanka Pal, S.P. Tiwari
Corresponding Author
Priyanka Pal
Available Online August 2019.
DOI
10.2991/eusflat-19.2019.31How to use a DOI?
Keywords
Deterministic fuzzy automaton Reachability map Observability map Fuzzy language
Abstract

The purpose of the present work is to use the concepts of reachability and obsrvability maps to provide a solution of a well-known characterization of fuzzy regular languages. In between, we associate two deterministic fuzzy automata with a given deterministic fuzzy automaton and show that the reachability and observability maps of the given deterministic fuzzy automaton turn out to be morphisms in the category of deterministic fuzzy automata.

Copyright
© 2019, 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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Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
978-94-6252-770-6
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.31How to use a DOI?
Copyright
© 2019, 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

TY  - CONF
AU  - Priyanka Pal
AU  - S.P. Tiwari
PY  - 2019/08
DA  - 2019/08
TI  - On a category of deterministic fuzzy automata
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 205
EP  - 211
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.31
DO  - 10.2991/eusflat-19.2019.31
ID  - Pal2019/08
ER  -