Matroidal approaches to rough sets via closure operators
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Publication:448937
DOI10.1016/j.ijar.2011.12.005zbMath1246.68233OpenAlexW2079229074MaRDI QIDQ448937
Publication date: 11 September 2012
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2011.12.005
Reasoning under uncertainty in the context of artificial intelligence (68T37) Topological spaces and generalizations (closure spaces, etc.) (54A05) Combinatorial aspects of matroids and geometric lattices (05B35) Galois correspondences, closure operators (in relation to ordered sets) (06A15)
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Cites Work
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- Topology vs generalized rough sets
- Connectedness of refined Goetschel-Voxman fuzzy matroids
- Generalized rough sets (preclusivity fuzzy-intuitionistic (BZ) lattices)
- Topological approaches to covering rough sets
- A comparison of two types of rough sets induced by coverings
- Reduction about approximation spaces of covering generalized rough sets
- Relationship between generalized rough sets based on binary relation and covering
- Rough sets in knowledge discovery 2. Applications, case studies and software systems
- Constructive and algebraic methods of the theory of rough sets
- Constructive and axiomatic approaches of fuzzy approximation operators.
- On the topological properties of fuzzy rough sets
- Two views of the theory of rough sets in finite universes
- Relational interpretations of neighborhood operators and rough set approximation operators
- The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey
- Rough set theory for topological spaces
- Lattices with Interior and Closure Operators and Abstract Approximation Spaces
- Incomplete information: rough set analysis
- Data mining, rough sets and granular computing
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