The present study considers a fuzzy color system in which three membership functions are constructed on a color triangle. For a given fuzzy input, this system outputs the center of gravity of three weights that are associated with respective grades. Three fuzzy sets (red, green, and blue) are applied to the color triangle relationship. By evaluating the attributes of redness, greenness, and blueness, a target color can be easily obtained as the center of gravity of the resulting fuzzy set. The output of the system is a tone triangle, which includes a compound vector with three weights (scalars) in color space. 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). Shape effects of conical fuzzy set are investigated.
