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where x is the logic value of the logic variable in thenormal condition and xf is the logic value of the logicvariable in the faulty condition. The logic value xf isdetermined irrespective of any fault in the logic levelZai (i = 1, ..., m) that provides the logic value x =CZai (or depends only on the number of faults) andcan essentially become a majority operation signal.An upper value indicates a fault-less condition andthus can serve as safety information.Multide-Valued Operation bv Window ComparatorsThe window comparator defined by Eq. (3)indicates that if the multiple-valued input x is madebinary and the binary output signal is subjected tobinary logic operation, the results opened can bereconstructed as a meaningful multiple-variableoutput signal by Eq. (4) or (5). Let the multipleinputvector x be as given byand let F(x) be the operation system, including thewindow comparator, and Fk(x) (k = 1, ...,4T)h.e n,the multiple-valued operation using the windowcomparator can be illustrated as shown in Figure 2.
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