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On the Categories of L-Valued and Q-Valued Deterministic Fuzzy Automata
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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 ([Formula: see text]-valued) fuzzy automata and deterministic quantale-valued ([Formula: see text]-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 Pub Co Pte Ltd
Title: On the Categories of L-Valued and Q-Valued 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 ([Formula: see text]-valued) fuzzy automata and deterministic quantale-valued ([Formula: see text]-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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