The present study considers a fuzzy color system in which three membership functions are
constructed on a tone triangle. Two fuzzy sets (not black and white) are applied to the tone triangle
relationship. By treating the attributes of chromaticness, whiteness, and blackness on the tone triangle,
a target color can be easily obtained as the center of gravity of the output fuzzy set. The difference
between the resulting inference output and the transforming output is shown by the nonlinear
characteristic between the redness ro of the output (consequent) and the chromaticness co of the output
(transformation). Normalizing by the height of the fuzzy set (possibility), the relationship between the
vagueness on the color triangle (consequent) and vagueness on the tone triangle (transformation) is close
to the theoretical trend. The vagueness is influenced by the possibility.
