The concepts of the cascade products and the wreath products of lattice-valued intuitionistic fuzzy finite state machines, homomorphisms and weak coverings are given. At the same time, the covering relations of two homomorphisms lattice-valued intuitionistic fuzzy finite state machines are studied. The covering relations among the full direct products, cascade products, wreath products are disscussed. Some transitive properties of covering relations are obtained in the product machines.Therefore,it is an important step to study lattice-valued intuitionistic fuzzy finite state machines.
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