Proceedings of the Fuzzy System Symposium
30th Fuzzy System Symposium
Session ID : ME2-2
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Fuzzy Set Theoretical Approach to the Color Triangle System:
Shape effects of conical fuzzy set
*Naotoshi SuganoFumihiko Mori
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Abstract

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.

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© 2014 Japan Society for Fuzzy Theory and Intelligent Informatics
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