Marcus-Wyse topological rough sets and their applications
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Publication:1999589
DOI10.1016/j.ijar.2019.01.003zbMath1456.68222OpenAlexW2913018279WikidataQ128520375 ScholiaQ128520375MaRDI QIDQ1999589
Publication date: 27 June 2019
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2019.01.003
Marcus-Wyse topologyneighborhood systemlocally finite covering approximation spaceFC-rough setM-rough setMW-topological rough set
Computing methodologies for image processing (68U10) Theory of fuzzy sets, etc. (03E72) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Reasoning under uncertainty in the context of artificial intelligence (68T37) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Computational aspects of digital topology (68U03)
Related Items (9)
Digital topological rough set structures and topological operators ⋮ On consistent functions for neighborhood systems ⋮ Topological structures induced by L-fuzzifying approximation operators ⋮ Jordan surface theorem for simple closed \textit{SST}-surfaces ⋮ Three-way dual concept analysis ⋮ Topological operators of MW-topological rough approximations ⋮ \(L\)-valued quasi-overlap functions, \(L\)-valued overlap index, and Alexandroff's topology ⋮ Topological properties of locally finite covering rough sets and \(K\)-topological rough set structures ⋮ Characterizations of an MW-topological rough set structure
Cites Work
- On some types of neighborhood-related covering rough sets
- Some twin approximation operators on covering approximation spaces
- Partial order relation for approximation operators in covering based rough sets
- A digitization method of subspaces of the Euclidean \(n\)D space associated with the Khalimsky adjacency structure
- Digitizations associated with several types of digital topological approaches
- Topology vs generalized rough sets
- Covering rough sets based on neighborhoods: an approach without using neighborhoods
- Covering based rough set approximations
- Topological characterizations of covering for special covering-based upper approximation operators
- Neighborhood systems and approximate retrieval
- Topological approaches to covering rough sets
- Rudiments of rough sets
- On some types of covering rough sets from topological points of view
- Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications
- On the topological properties of generalized rough sets
- The algebraic structures of generalized rough set theory
- Generalized rough sets based on reflexive and transitive relations
- 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
- Extensions and intensions in the rough set theory
- Constructive and algebraic methods of the theory of rough sets
- Reduction and axiomization of covering generalized rough sets.
- Discretization in Hausdorff space
- Neighborhood operators for covering-based rough sets
- Roughness measures of locally finite covering rough sets
- Characterizations of coverings for upper approximation operators being closure operators
- Relationships between generalized rough sets based on covering and reflexive neighborhood system
- On the measure of \(M\)-rough approximation of \(L\)-fuzzy sets
- Relational interpretations of neighborhood operators and rough set approximation operators
- Rough set approach to incomplete information systems
- Neighborhood operator systems and approximations
- Rough sets. Mathematical foundations
- Covering rough set structures for a locally finite covering approximation space
- Estimation of the complexity of a digital image from the viewpoint of fixed point theory
- MGRS: a multi-granulation rough set
- Axiomatic systems for rough sets and fuzzy rough sets
- Relationship among basic concepts in covering-based rough sets
- Notes on covering-based rough sets from topological point of view: relationships with general framework of dual approximation operators
- On multi-granulation covering rough sets
- Generalized rough sets based on relations
- Equivalent \((k_{0},k_{1})\)-covering and generalized digital lifting
- On the structure of generalized rough sets
- Minimal simple closed 18-surfaces and a topological preservation of 3D surfaces
- Rough Approximation Operators in Covering Approximation Spaces
- Rough sets
- Fuzzy digital topology
- Topological graphs based on a new topology on Zn and its applications
- CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE
- Transactions on Rough Sets III
- Homotopy based on Marcus-Wyse topology and its applications
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