The article deals with the problem of synthesis of tests for fuzzy linear automata (FLA). Now several varieties of FLA are used as models of real fuzzy systems. The article introduces and investigates one particular type of FLA. The fuzziness of the behavior of the automaton is suggested to appear due to the use of elements of a special type in the characteristic matrices. Each such element is a certain set of elements of the field over which the FLA is given.
