Natural Color System Using Fuzzy Set Theoretical Approach

The present study considered a fuzzy natural color system (NCS) in which triangular pyramid membership functions are constructed on the NCS color triangle. This system can process a fuzzy input to an NCS system and output to a center of gravity of three weights associated with respective grades. Triangular membership functions are applied to the hue, and triangular pyramid membership functions are applied to the NCS color triangle relationship. By treating three membership functions of blackness, whiteness, and chromaticness on the NCS color triangle, we can easily obtain a target color as a center of gravity of the output fuzzy set. We will show herein the difference between crisp inputs and fuzzy inputs.