Generalized Modifiers as an Interval Scale: Towards Adaptive Colorimetric Alterations

In this article, new tools to represent the different states of a same knowledge are described. These states are usually expressed through linguistic modifiers that have been studied in a fuzzy framework, but also in a symbolic context. The tools we introduce are called generalized symbolic modifiers: they allow linguistic modifications. A first beginning of this work on modifiers has been done by Akdag & al and this paper is the continuation. Our tools are convenient and simple to use; they assume interesting mathematical properties as order relations or infinite modifications and, moreover, they can be seen as an interval scale. Besides, they are used in practice through a colorimetric application and give very good results. They act as a link between modifications expressed with words and colorimetric alterations.