Generalized Directable Fuzzy Automata

Generalized Directable Fuzzy Automata

In this paper, we introduce generalized directable fuzzy automaton and discuss their structural characterizations. We have shown that a generalized directable fuzzy automaton is an extension of a uniformly monogenically strongly directable fuzzy automaton by a uniformly monogenically trap-directable fuzzy automaton and obtain other equivalent conditions for a generalized directable fuzzy automa...

Generalized Directable Automata

In [18] the last three authors introduced the notion of a generalized directable automaton as a generalization of many already known types of automata. The algorithms for testing whether a finite automaton belongs to some of important subclasses of the class of generalized directable automata are studied by the authors in [20]. In this paper structural properties of finite and infinite generali...

Directable Fuzzy and Nondeterministic Automata

We study three notions of directability of fuzzy automata akin to the D1-, D2and D3-directability of nondeterministic automata. Thus an input word w of a fuzzy automaton is D1-directing if a fixed single state is reachable by w from all states, D2-directing if exactly the same states are reachable by w from every state, and D3-directing if there is a state reachable by w from every state. We st...

Piecewise Directable Automata

Shortest directing words of nondeterministic directable automata

In this paper, we will survey several results on the shortest directing words of various types of nondeterministic directable automata.1 © 2007 Elsevier B.V. All rights reserved.