Research achievements (PUBLICATIONS/REVIEWS (Misc))

Basic information

Name MORI Fumihiko

Title

Fuzzy Set Theoretical Analysis of Human Membership Values on the Color Triangle

Author

Shun Kato, Humihiko Mori, Naotoshi Sugano

Name of publication

Proceedings of 29th Fuzzy System Symposium

Publisher

Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)

Volume (No.)

29

Issue (No.)

 

Start page

965

 

End page

970

Date of publication

2013-09-11

Presence/absence of peer review

Batu

Presence/absence of request

Batu(Ordinary Paper)

Language of publication used

Japanese

Posting category

Domestic

Type of publication

Research paper

Type of authorship

Joint Work(other)

ISSN

 

DOI

https://doi.org/10.14864/fss.29.0_223

NAID (CiNii ID)

 

PMID

 

Permalink

URL

Summary

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 roughly similar in this case. However at 0% triangle inference outputs are obviously different. Those for crisp inputs show vertically linear.

Remarks