Meaningful Forms and Fuzzy Geometry I: MPB & MGP

The analysis and critique of the artworks have always been of interest to artists. In this paper, we study the analysis and critique of artworks from the perspective of fuzzy logic. We try to provide definitions for Meaningful point and line in visual arts with the help of fuzzy geometry. We define Meaningful golden point (MGP) using the Meaningful painting box (MPB). With providing fuzzy definitions for visual elements, our modeling strives to obtain geometric forms that carry the artist’s mental-behavioral concepts. As a result, the way is paved for purposes such as analysis and critique of the artistic forms of modern and contemporary artworks, educational systems, art economics, and fuzzy geometric aesthetic. According to the features of fuzzy logic, our definitions and methods cover the deterministic mode. It is fully efficient in the analysis and critique of classical artworks.