Tamagawa University, Tokyo, Japan

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Abstract—The present study considers a fuzzy color system in which three membership functions are constructed on the RGB color triangle. This system can process a fuzzy input (as the membership values of subjects) to an RGB system and output the center of gravity of three weights associated with respective grades. Three 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, an average color value can be easily obtained as the center of gravity of the fuzzy output. The differences between fuzzy input and inference output are described, and the relationship between the centers of gravity of fuzzy inputs and inference outputs for fuzzy inputs are shown in the present paper.

Index Terms—Fuzzy set theory, three additive primary colors, membership function, RGB system, color triangle, vague color, membership value, center of gravity.

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Cite: Naotoshi Sugano, Shou Komatsuzaki, Hiroyuki Ono, Yuko Chiba, "Fuzzy Set Theoretical Analysis of Human Membership Values on the Color Triangle," Journal of Computers vol. 4, no. 7, pp. 593-600, 2009.