Download or read book Goguen Categories written by Michael Winter and published by Springer Science & Business Media. This book was released on 2007-08-14 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices, this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures. It is shown that neither theory is sufficiently rich to describe basic operations on fuzzy relations.