Abstract
The present study considers a fuzzy color system in which triangular pyramid-like membership functions are constructed on the RGB color triangle. This system can process a fuzzy input to an RGB system and output the center of gravity of three weights associated with respective grades. Triangular pyramid-like 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, a target color can be easily obtained as the center of gravity of the output fuzzy set. In the present paper, the differences among fuzzy input, inference output, and chromaticity are described, and the relationship between inference outputs for crisp inputs and inference outputs for fuzzy inputs on the chromaticity diagram are shown for colors that have circular or elliptical vagueness areas.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Brettel, H., Hardeberg, J.Y., Schmitt, F.: Webcam for interactive multispectral measurements. In: MacDonald, L.W., Luo, M.R. (eds.) Colour image science. John Wiley & Sons, New York (2002)
Fukinuki, T.: Image media technology. Coronasha Publishing, Tokyo (2002) (in Japanese)
Lee, H.C.: Introduction to color imaging science. Cambridge University Press, New York (2005)
Sivik, L.: Color systems for cognitive research. In: Hardin, C.L., Maffi, L. (eds.) Color categories in thought and language, pp. 163–193. Cambridge University Press, New York (1997)
Sugano, N.: Natural color system using fuzzy set theoretical approach. In: Proc. of the International Workshop on Fuzzy Systems & Innovational Computing, Kitakyushu, pp. 69–74 (2004)
Sugano, N.: Fuzzy natural color system for achromatic colors. In: Proc. of Joint 2nd International Conference on Soft Computing and Intelligent Systems and 5th International Symposium on Advanced Intelligent Systems, WE-1, Yokohama, pp. 6–11 (2004)
Sugano, N.: Fuzzy natural color system using membership function of triangular pyramid on color triangle. Biomedical Soft Computing and Human Sciences 10(1), 1–10 (2004)
Sugano, N.: Fuzzy set theoretical approach to achromatic relevant color on the natural color system. International Journal of Innovative Computing, Information and Control 2(1), 193–203 (2006)
Tilley, R.J.D.: Colour and optical properties of materials, An exploration of the relationship between light, the optical properties of materials and colour. John Wiley & Sons, New York (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sugano, N. (2006). Fuzzy Set Theoretical Approach to the RGB Color Triangle. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2006. Lecture Notes in Computer Science(), vol 4253. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893011_120
Download citation
DOI: https://doi.org/10.1007/11893011_120
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-46542-3
Online ISBN: 978-3-540-46544-7
eBook Packages: Computer ScienceComputer Science (R0)