Fuzzy Set Theoretical Approach to the RGB Color Triangle

The present study considers a fuzzy color system in which triangular pyramid-like membership functions are constructed on the RGB color triangle. This system can process a fuzzy input to an RGB system and output the center of gravity of three weights associated with respective grades. Triangular pyramid-like membership functions are applied to the RGB color triangle relationship. By treating three membership functions of redness, greenness, and blueness on the RGB color triangle, a target color can be easily obtained as the center of gravity of the output fuzzy set. In the present paper, the differences among fuzzy input, inference output, and chromaticity are described, and the relationship between inference outputs for crisp inputs and inference outputs for fuzzy inputs on the chromaticity diagram are shown for colors that have circular or elliptical vagueness areas.