Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Automatic Ontology-Based Knowledge Extraction from Web Documents
IEEE Intelligent Systems
Minimization of states in automata theory based on finite lattice-ordered monoids
Information Sciences: an International Journal
Artificial Intelligence
Equivalence in automata theory based on complete residuated lattice-valued logic
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Automata theory based on complete residuated lattice-valued logic: Pushdown automata
Fuzzy Sets and Systems
Fuzzy tree language recognizability
Fuzzy Sets and Systems
Supervisory control of fuzzy discrete event systems: a formal approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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This paper deals with the concept of complete residuated lattice-valued (referred to as L-valued) finite tree automata. In this regard, we first define an L-valued regular tree language, and then we prove a necessary and sufficient condition for the regularity of an L-valued tree language. Furthermore, we generalize the pumping lemma for L-valued finite tree automata (L-FTA). Afterwards, the behavior of L-FTA is addressed and some theorems are provided. Moreover, the existence of the minimal form of an L-FTA is considered. Finally, a minimization algorithm of the L-FTA is presented and its time complexity is analyzed.