The authors define a partial-ordering relation with respect to ambiguity with the greatest element 1/2 and minimal elements 0, 1 in the set of truth values V=(0,1/(p-1),. . ., 1/2,. . ., (p-2)/(p-1), 1), and the p-valued logic functions monotonic with respect to ambiguity, based on this ordering relation. A necessary and sufficient condition for p-valued logic functions to be monotonic with respect to ambiguity is presented along with the proofs, and their logic expressions using unary operators defined in the partial-ordering relation are provided. >
['Kyoichi Nakashima', 'Noboru Takagi']
On multiple-valued logic functions monotonic with respect to ambiguity