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Authors: Shun Kato ; Itsuki Shinomiya ; Fumihiko Mori and Naotoshi Sugano

Affiliation: Tamagawa University, Japan

ISBN: 978-989-758-018-5

Keyword(s): Fuzzy Set Theory, Three Additive Primary Colors, Membership Function, RGB System, Color Triangle, Vague Color, Membership Value, Center of Gravity, Tone Triangle.

Related Ontology Subjects/Areas/Topics: Fuzzy Logic ; Knowledge Acquisition and Representation ; Pattern Recognition ; Theory and Methods

Abstract: 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 differ ent. Those for crisp inputs show vertically linear. (More)

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Paper citation in several formats:
Kato S., Shinomiya I., Mori F. and Sugano N. (2014). 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.In Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-758-018-5, pages 239-246. DOI: 10.5220/0004826502390246

@conference{icpram14,
author={Shun Kato and Itsuki Shinomiya and Fumihiko Mori and Naotoshi Sugano},
title={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},
booktitle={Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},
year={2014},
pages={239-246},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004826502390246},
isbn={978-989-758-018-5},
}

TY - CONF

JO - Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - 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
SN - 978-989-758-018-5
AU - Kato S.
AU - Shinomiya I.
AU - Mori F.
AU - Sugano N.
PY - 2014
SP - 239
EP - 246
DO - 10.5220/0004826502390246

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