id: 05646721 dt: a an: 05646721 au: Banerjee, Mohua; Yao, Yiyu ti: A categorial basis for granular computing. so: An, Aijun (ed.) et al., Rough sets, fuzzy sets, data mining and granular computing. 11th international conference, RSFDGrC 2007, Toronto, Canada, May 14-16, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-72529-9/pbk). Lecture Notes in Computer Science 4482. Lecture Notes in Artificial Intelligence, 427-434 (2007). py: 2007 pu: Berlin: Springer la: EN cc: ut: category theory; granular computing; granulation coarsening and refinement ci: li: doi:10.1007/978-3-540-72530-5_51 ab: Summary: The theory of granular computing is accorded a formal mathematical basis, by presenting its main features using a category-theoretic language. A category $\cal C_G$ of granulations is proposed. It is shown how two main operations between granulations, viz. coarsening and refinement, can be expressed in terms of $\cal C_G$-morphisms. Examples of some special subcategories of $\cal C_G$ and their relationships are given. rv: