In an interdisciplinary project together with the Institute of Behavioral Neuroscience at the University of Duesseldorf, we contributed a chapter entitled „Aesthetic evaluation of art“ for a book currently being published by Oxford University Press on ART, AESTHETICS and the BRAIN. This essay deals with the complex issue of multiple attributes (qualia) inherent in (perceived in) any work of fine art, including painting, sculpture, architecture and music. We present a formal model that accounts for the relative role of the number of perceived attributes and their individual weight in determining the overall evaluation of a work of art. The model makes predictions that are particularly relevant to the concept of „minimalism“ in the fine arts. We also discuss current advances and the difficulties inherent in the seach for brain mechanisms involved in the encoding of the qualia in a work of art and the neuras systems engaged in the evaluative process.