| Intuitionistic fuzzy automata is a generalized model of fuzzy automata.In this paper, the intuitionistic fuzzy automata is studied. In addition, the lattice-valuedintuitionistic fuzzy finite automata is also researched on basis of intuitionistic fuzzyautomata. This paper focuses on the relationships among several types of intuitionisticfuzzy automata and products of lattice-valued intuitionistic fuzzy finite automata.First of all, the concepts of nondeterministic intuitionistic fuzzy finite stateautomata, deterministic intuitionistic fuzzy finite state automata are given. Therelationships among several types of intuitionistic fuzzy automata are discussed.Afterwards, the definition of lattice-valued intuitionistic fuzzy finite automata isgiven on basis of lattice-valued intuitionistic fuzzy sets and intuitionistic fuzzy finiteautomata. At the same time, the concepts of the full direct product, the restricted directproduct, the cascade product and the wreath product of lattice-valued intuitionisticfuzzy finite automata are constructed. The covering relationships among full directproduct, the restricted direct product, the cascade product and the wreath product oflattice-valued intuitionistic fuzzy finite automata is studied. Some transitive propertiesof covering relationships are obtained in the product automata. |
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