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On the Categories of L-Valued and Q-Valued Deterministic Fuzzy Automata

    https://doi.org/10.1142/S179300572150037XCited by:5 (Source: Crossref)

    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.