Fuzzy Set Theoretical Analysis of Human Membership Values on the Color Triangle - Mapping from the Color Triangle (antecedent) via the Color Triangle (consequent) to the Tone Triangle -

S. Kato,  I. Shinomiya,  F. Mori,  N. Sugano

The present study considers a fuzzy color system in which three membership functions are constructed on a

color triangle. This system can process a fuzzy input to a color triangle system and output the center of

gravity of three weights associated with respective grades. Three fuzzy sets (red, green, and blue) are

applied to the color triangle relationship. By treating the attributes of redness, greenness, and blueness on

the color triangle, a target color can be easily obtained as the center of gravity of the output fuzzy set. In the

present paper, 0% triangle is consisted of the lines of 0% redness, 0% greenness, and 0% blueness of the

attributes. The colors on 0% triangle map into the right corner of tone triangle (on C or near C). As compare

the inference results for fuzzy inputs with those for crisp inputs, move to W (white region). The input-output

relationship is shown by redness and chromaticness. The inference outputs for crisp inputs and for fuzzy

inputs are obviously different. Those for crisp inputs show vertically linear.

Proco of 3rd International Conference on Pattern Recognition Application and Methods (ICPRAM 2014 Angers)

ICPRAM 2014 Mathematics, Computer Science

92

239

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10.5220/0004826502390246

Corpus ID: 35384726