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 pyra- mid-like membership functions are applied to the RGB color triangle relation- ship. By treating three membership functions of redness, greenness, and blue- ness on the RGB color triangle, a target color can be easily obtained as the cen- ter of gravity of the output fuzzy set. In the present paper, the differences among fuzzy input, inference output, and chromaticity are described, and the re- lationship 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.
['Naotoshi Sugano']
Fuzzy Set Theoretical Approach to the RGB Color Triangle