Abstract
The objective of this paper is to introduce quantale-valued (in short Q-valued) fuzzy automata and its categories. The Q-valued fuzzy automaton in order to introduce here differs from the existing studies in the sense that the state-set itself is a quantale semimodule (in short Q-semimodule). Next, we introduce deterministic Q-valued fuzzy automaton and study the determinization of Q-valued fuzzy automata by using of Q-valued power set functor and show the existence of final object in the subcategory of category of deterministic Q-valued fuzzy automata. Finally, we show that the existence of minimal deterministic Q-valued fuzzy automata in the category of deterministic Q-valued fuzzy automata by using functorial maps.
| Original language | English |
|---|---|
| Pages (from-to) | 771-785 |
| Number of pages | 15 |
| Journal | Journal of Applied Mathematics and Computing |
| Volume | 63 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 1 Jun 2020 |
Keywords
- Category
- Deteminization
- Minimizatin
- Quantale
- Quantale-semimodule
- Quantale-valued fuzzy automata
OECD Field of Science
- 1.2 Computer and Information Sciences
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