Matroidal structure of rough sets from the viewpoint of graph theory

DOI10.1155/2012/973920zbMath1259.03069OpenAlexW2137405087WikidataQ58907036 ScholiaQ58907036MaRDI QIDQ1760908

William Zhu, Kun She, Jianguo Tang

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/973920

zbMATH Keywords

matroidsrough set theorylower approximationupper approximation

Mathematics Subject Classification ID

Applications of graph theory (05C90) Theory of fuzzy sets, etc. (03E72) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (9)

Connectedness of graphs and its application to connected matroids through covering-based rough sets ⋮ Nullity-based matroid of rough sets and its application to attribute reduction ⋮ Matroidal structure of rough sets based on serial and transitive relations ⋮ Covering cycle matroid ⋮ Algebraic Representation, Dualities and Beyond ⋮ The Matroidal Structures of the Second Type of Covering-Based Rough Set ⋮ Rough Set Theory Applied to Simple Undirected Graphs ⋮ Characterization and reduction of concept lattices through matroid theory ⋮ Four matroidal structures of covering and their relationships with rough sets

Cites Work

• Reduction of neighborhood-based generalized rough sets
• Neighborhood systems and approximate retrieval
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• Rough sets and Boolean reasoning
• Neighborhood rough set based heterogeneous feature subset selection
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• Reduction and axiomization of covering generalized rough sets.
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• Rough set theory for topological spaces
• Generalized rough sets based on relations
• Generalized rough sets over fuzzy lattices
• Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
• Rough operations on Boolean algebras
• ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
• On the Abstract Properties of Linear Dependence
• An Introduction to Matroid Theory
• A generalized model of fuzzy rough sets
• Hidden superconformal symmetry in M-theory
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