Characterizations of coverings for upper approximation operators being closure operators
DOI10.1016/j.ins.2015.03.060zbMath1387.68216OpenAlexW2048114506MaRDI QIDQ1749200
Zuoming Yu, Xiaole Bai, Pei Wang, Xiaoxia Bian, Bin Chen
Publication date: 16 May 2018
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2015.03.060
closure operatorcovering-based upper approximation operatorfirst symmetrical conditionsecond symmetrical conditiontriangle chain condition
Reasoning under uncertainty in the context of artificial intelligence (68T37) Fuzzy topology (54A40) Galois correspondences, closure operators (in relation to ordered sets) (06A15)
Related Items (8)
Cites Work
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- Topology vs generalized rough sets
- Axiomatization and conditions for neighborhoods in a covering to form a partition
- On minimization of axiom sets characterizing covering-based approximation operators
- Covering rough sets based on neighborhoods: an approach without using neighborhoods
- An application of covering approximation spaces on network security
- Covering based rough set approximations
- Topological characterizations of covering for special covering-based upper approximation operators
- On axiomatic characterizations of three pairs of covering based approximation operators
- Topological approaches to covering rough sets
- Approximations and reducts with covering generalized rough sets
- 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
- The further investigation of covering-based rough sets: uncertainty characterization, similarity measure and generalized models
- Rough implication operator based on strong topological rough algebras
- Note on ``Generalized rough sets based on reflexive and transitive relations
- Relationship between generalized rough sets based on binary relation and covering
- Extensions and intensions in the rough set theory
- Reduction and axiomization of covering generalized rough sets.
- Relational interpretations of neighborhood operators and rough set approximation operators
- Neighborhood operator systems and approximations
- A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets
- Rough set theory for topological spaces
- Relationship among basic concepts in covering-based rough sets
- Generalized rough sets based on relations
- Measuring roughness of generalized rough sets induced by a covering
- Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
- On Topological Dominance-based Rough Set Approach
- Rough sets
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