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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| Format: | Article |
| Language: | en |
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World Scientific Publishing Co.
2021
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| 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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| author | Dubey, M. K. Tiwari, S. P. Kavikumar, J. |
| author_facet | Dubey, M. K. Tiwari, S. P. Kavikumar, J. |
| author_sort | Dubey, M. K. |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| 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 |
| id | my.uthm.eprints-2817 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2021 |
| publisher | World Scientific Publishing Co. |
| record_format | eprints |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | QC1-75 General |
| url | http://eprints.uthm.edu.my/2817/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf http://eprints.uthm.edu.my/2817/ https://doi.org/10.4015/S1793005721500320 |
| url_provider | http://eprints.uthm.edu.my/ |