Fuzzy Set Theoretical Approach to the Color Triangle System: Shape effects of conical fuzzy set

Naotoshi Sugano and Fumihiko Mori

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 a fuzzy input and the resulting inference output is shown by the input-output characteristic (leg shape) between the redness of the input and the chromaticness of the output.Shape effects of conical fuzzy set are investigated.

Proceedings of 30th Fuzzy System Symposium

Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)

30

230

235

https://doi.org/10.14864/fss.30.0_230

https://www.jstage.jst.go.jp/article/fss/30/0/30_230/_article/-char/ja