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- W3044483707 abstract "This paper is towards the study of L -fuzzy automata from the categorical point of view, where L is a complete residuated lattice. We introduce a functor having both the left/right adjoint from the category of L -fuzzy Σ-semiautomata LFSA ( Σ ) to the category LFTCRL (Σ), a category of complete residuated lattices corresponding to L -fuzzy Σ-semiautomata. The L -fuzzy response map of an L -fuzzy automaton leads us to provide a characterization of an L -fuzzy regular language. Interestingly, we show that the category LFSA ( Σ ) is a category of T 1 -coalgebras/ ( T 2 , T 3 ) -dialgebras. Moreover, we establish a relationship between the category of T 1 -coalgebras and the category of ( T 2 , T 3 ) -dialgebras." @default.
- W3044483707 created "2020-07-29" @default.
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- W3044483707 date "2021-09-01" @default.
- W3044483707 modified "2023-09-28" @default.
- W3044483707 title "On the category of L-fuzzy automata, coalgebras and dialgebras" @default.
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- W3044483707 doi "https://doi.org/10.1016/j.fss.2020.07.013" @default.
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