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On the categories of L-Valued and Q-Valued deterministic fuzzy automata

Automata and languages have been studied in the context of different lattice structures by several authors. This paper is toward the categorical study of deterministic lattice-valued (L-valued) fuzzy automata and deterministic quantale-valued (Q-valued) 26 fuzzy automata. The existence of initial a...

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Main Authors: Dubey, M. K., Tiwari, S. P., Kavikumar, J.
Format: Article
Language:English
Published: World Scientific Publishing Co. 2021
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://eprints.uthm.edu.my/3475/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf
http://eprints.uthm.edu.my/3475/
https://doi.org/10.4015/S1793005721500320
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spelling my.uthm.eprints.34752021-11-17T08:46:32Z http://eprints.uthm.edu.my/3475/ On the categories of L-Valued and Q-Valued deterministic fuzzy automata Dubey, M. K. Tiwari, S. P. Kavikumar, J. QA75 Electronic computers. Computer science Automata and languages have been studied in the context of different lattice structures by several authors. This paper is toward the categorical study of deterministic lattice-valued (L-valued) fuzzy automata and deterministic quantale-valued (Q-valued) 26 fuzzy automata. The existence of initial and final objects in the subcategory of category of deterministic lattice-valued fuzzy automata is shown. We also show that there is an adjunction between the category of deterministic lattice-valued and quantale-valued fuzzy automata. World Scientific Publishing Co. 2021 Article PeerReviewed text en http://eprints.uthm.edu.my/3475/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf Dubey, M. K. and Tiwari, S. P. and Kavikumar, J. (2021) On the categories of L-Valued and Q-Valued deterministic fuzzy automata. New Mathematics and Natural Computation, 17 (1). pp. 1-22. https://doi.org/10.4015/S1793005721500320
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Dubey, M. K.
Tiwari, S. P.
Kavikumar, J.
On the categories of L-Valued and Q-Valued deterministic fuzzy automata
description Automata and languages have been studied in the context of different lattice structures by several authors. This paper is toward the categorical study of deterministic lattice-valued (L-valued) fuzzy automata and deterministic quantale-valued (Q-valued) 26 fuzzy automata. The existence of initial and final objects in the subcategory of category of deterministic lattice-valued fuzzy automata is shown. We also show that there is an adjunction between the category of deterministic lattice-valued and quantale-valued fuzzy automata.
format Article
author Dubey, M. K.
Tiwari, S. P.
Kavikumar, J.
author_facet Dubey, M. K.
Tiwari, S. P.
Kavikumar, J.
author_sort Dubey, M. K.
title On the categories of L-Valued and Q-Valued deterministic fuzzy automata
title_short On the categories of L-Valued and Q-Valued deterministic fuzzy automata
title_full On the categories of L-Valued and Q-Valued deterministic fuzzy automata
title_fullStr On the categories of L-Valued and Q-Valued deterministic fuzzy automata
title_full_unstemmed On the categories of L-Valued and Q-Valued deterministic fuzzy automata
title_sort on the categories of l-valued and q-valued deterministic fuzzy automata
publisher World Scientific Publishing Co.
publishDate 2021
url http://eprints.uthm.edu.my/3475/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf
http://eprints.uthm.edu.my/3475/
https://doi.org/10.4015/S1793005721500320
_version_ 1738581127913799680
score 13.160551

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