Fuzzy Set Theoretical Approach to the Tone Triangle System

DOI

Bibliographic Information

Other Title
  • 色調のファジィシステム
  • ―ファジィ集合の形状の影響―
  • Shape effects of conical fuzzy set

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.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390001205673442048
  • NII Article ID
    130005480549
  • DOI
    10.14864/fss.30.0_236
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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