Abstract
The theory of granular computing is accorded a formal mathematical basis, by presenting its main features using a category-theoretic language. A category Cg of granulations is proposed. It is shown how two main operations between granulations, viz. coarsening and refinement, can be expressed in terms of CG-morphisms. Examples of some special subcategories of Cg and their relationships are given. © Springer-Verlag Berlin Heidelberg 2007.
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CITATION STYLE
Banerjee, M., & Yao, Y. (2007). A categorial basis for granular computing. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4482 LNAI, pp. 427–434). Springer Verlag. https://doi.org/10.1007/978-3-540-72530-5_51
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