Abstract. The paper outlines the rationale for using Fuzzy Logic, and Granular Computing, to emulate compositional decision making processes. Significant features of this Fuzzy Logic framework are that ambiguity in the music is maintained, while allowing the evolution of unfolding processes which reflects the temporal nature of music as performed. Granular Computing and Fuzzy Logic have been designed for physical and IT engineering applications to automate complex tasks. Fuzzy Logic is not only useful as an analytical concept, but also, can be generally applied to the production of music itself through a Fuzzy Logic control system. As artificial intelligence design and computing power both improve, it may well become possible to perform this work by digital means. My present research will contribute to this development through the identification of the significant compositional elements and their connective grammar. Once, these have been determined, then automated ways to compose music can be developed. Keywords: Fuzzy Logic, Granular Computing, Music Composition, Algorithmic Music.