Theoretical Computer Science
Category theory for computing science
Category theory for computing science
Automata, Languages, and Machines
Automata, Languages, and Machines
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Basic concepts of category theory applicable to computation and control
Proceedings of the Proceedings of the First International Symposium on Category Theory Applied to Computation and Control
A categorist's view of automata and systems
Proceedings of the Proceedings of the First International Symposium on Category Theory Applied to Computation and Control
Artificial Intelligence
Equivalence in automata theory based on complete residuated lattice-valued logic
Fuzzy Sets and Systems
A categorical approach to lattice-valued fuzzy automata
Fuzzy Sets and Systems
Supervisory control of fuzzy discrete event systems: a formal approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Myhill--Nerode type theory for fuzzy languages and automata
Fuzzy Sets and Systems
Fuzzy relation equations and reduction of fuzzy automata
Journal of Computer and System Sciences
Bisimulations for fuzzy automata
Fuzzy Sets and Systems
Construction of fuzzy automata from fuzzy regular expressions
Fuzzy Sets and Systems
Computation of the greatest simulations and bisimulations between fuzzy automata
Fuzzy Sets and Systems
Fuzzy relation equations and subsystems of fuzzy transition systems
Knowledge-Based Systems
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Automata theory based on complete residuated lattice-valued logic, called L-valued automata (L-VAs), has been primarily established by Qiu in 2001 and 2002. In this paper, we consider the L-VAs that have L-valued initial and final states. We study the categorical issue of L-VAs. The main technical contributions include: (1) We investigate the relationship between the category of L-VAs and the category of non-deterministic automata (NDAs); also, we study the relationship between the category of generalized L-VAs and the category of NDAs. (2) We prove the existence of isomorphisms between the category of L-VAs and the subcategory of generalized L-VAs and between the category of L-VAs and the category of sets of NDAs. (3) Finally, we further investigate some specific relationships between the output L-valued subsets of generalized L-VAs and the output L-valued subsets of NDAs.