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

M. K. Dubey, S. P. Tiwari () and J. Kavikumar ()
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M. K. Dubey: Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India
S. P. Tiwari: Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India
J. Kavikumar: Department of Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 753-774

Abstract: 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.

Keywords: Quantale; deterministic L-valued fuzzy automaton; deterministic Q-valued fuzzy automaton; category (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S179300572150037X

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