Proceedings of the Fuzzy System Symposium
30th Fuzzy System Symposium
Session ID : ME2-3
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Fuzzy Set Theoretical Approach to the Tone 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 input fuzzy sets are constructed on the tone triangle. For a given fuzzy input, this system outputs the center of gravity of the three weights that are associated with respective grades. Two fuzzy sets (not black and white) are applied to the tone triangle relationship. By evaluating the attributes of chromaticness, whiteness, and blackness, 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 fuzzy input and the resulting inference output is shown by the input-output characteristics (linear shape and right triangle shape) between the chromaticness, the whiteness, the blackness 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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