Granular Computing: Topological and Categorical Aspects of Near and Rough Set Approaches to Granulation of Knowledge

DOI10.1007/978-3-642-36505-8_3zbMath1377.68252OpenAlexW138545805MaRDI QIDQ4909589

Marcin Wolski

Publication date: 21 March 2013

Published in: Transactions on Rough Sets XVI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-36505-8_3

zbMATH Keywords

rough setgauge spacequotient topologynear setsheafpregauge structure

Mathematics Subject Classification ID

Knowledge representation (68T30) Reasoning under uncertainty in the context of artificial intelligence (68T37) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Proximity structures and generalizations (54E05) Presheaves and sheaves in general topology (54B40)

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On some generalization of rough sets ⋮ Flow graphs: analysis with near sets ⋮ The global \(k\)-means clustering analysis based on multi-granulations nearness neighborhood ⋮ Topological structures in rough set theory: A survey ⋮ The relationships between topologies and generalized rough sets ⋮ Rough semi-uniform spaces and its image proximities

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