The present study considered the evaluation of a fuzzy system in which vague colors can be expressed in words (usually adjectives). For a system evaluation, vague colors for 5 principal hues, 124 boundary points among neighboring JIS (Japanese Industrial Standards) modifiers are used. Three candidate modifiers within each grade indicate vague colors. In our previous study, specific conical membership functions were considered achromatic colors, with accompanying vagueness. However, this is incorrect in color specification. Therefore, in the improved color-naming system, vagueness of conical membership functions corresponds to fuzzy sets of achromatic color names with hue modifiers (e.g.reddish white). If the saturation s is equal to zero, triangular membership functions, some parts of conical membership functions correspond to achromatic colors. The improved system shows high performance in terms of percentage of correct outputs for vague colors. The percentages of the 1^st and 2^nd candidate modifiers represent increases of about 20%, but the percentage for the 3^rd modifier represents almost no change.
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