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On the categories of L-Valued and Q-Valued 6 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) fuzzy automata. The existence of initial and...

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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:
QC1-75 General
Online Access:http://eprints.uthm.edu.my/2817/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf
http://eprints.uthm.edu.my/2817/
https://doi.org/10.4015/S1793005721500320
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spelling my.uthm.eprints.28172021-11-15T06:37:35Z http://eprints.uthm.edu.my/2817/ On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata Dubey, M. K. Tiwari, S. P. Kavikumar, J. QC1-75 General 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) 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/2817/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf Dubey, M. K. and Tiwari, S. P. and Kavikumar, J. (2021) On the categories of L-Valued and Q-Valued 6 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 QC1-75 General
spellingShingle QC1-75 General
Dubey, M. K.
Tiwari, S. P.
Kavikumar, J.
On the categories of L-Valued and Q-Valued 6 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) 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 6 deterministic fuzzy automata
title_short On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata
title_full On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata
title_fullStr On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata
title_full_unstemmed On the categories of L-Valued and Q-Valued 6 deterministic fuzzy automata
title_sort on the categories of l-valued and q-valued 6 deterministic fuzzy automata
publisher World Scientific Publishing Co.
publishDate 2021
url http://eprints.uthm.edu.my/2817/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf
http://eprints.uthm.edu.my/2817/
https://doi.org/10.4015/S1793005721500320
_version_ 1738581041806835712
score 13.211869

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