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: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
World Scientific Publishing Co.
2021
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| 主題: | |
| 在線閱讀: | 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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| 總結: | 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. |
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