Meaningful special classes of ternary logic functions-regular ternary logic functions and ternary majority functions

摘要

Special ternary logic functions, namely, regular functions suitable for treating ambiguity and majority functions based on an extended majority principle are considered. The one-to-one correspondence between n-ary monotone regular ternary logic functions and (n+1)-ary monotone Boolean functions is investigated, as well as the one-to-one correspondence between n-ary monotone ternary majority functions and (n+1)-ary monotone binary threshold functions. The ternary majority functions are enumerated.