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Published in:
2007 | OriginalPaper | Chapter
A Categorial Basis for Granular Computing
Authors : Mohua Banerjee, Yiyu Yao
Published in: Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Publisher: Springer Berlin Heidelberg
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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.