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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing Co.
2021
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/3475/ http://eprints.uthm.edu.my/3475/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf |
| _version_ | 1848888029942382592 |
|---|---|
| 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 Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T20:03:48Z |
| format | Article |
| id | uthm-3475 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:03:48Z |
| publishDate | 2021 |
| publisher | World Scientific Publishing Co. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-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 |
| 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 |
| title | 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_short | 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 |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.uthm.edu.my/3475/ http://eprints.uthm.edu.my/3475/ http://eprints.uthm.edu.my/3475/1/J12663_9d6f7e91254ff54faad36f24b91eee91.pdf |