Extensions and intentions in the rough set theory
Information Sciences: an International Journal
On Generalizing Pawlak Approximation Operators
RSCTC '98 Proceedings of the First International Conference on Rough Sets and Current Trends in Computing
A view on rough set concept approximations
Fundamenta Informaticae - Special issue on the 9th international conference on rough sets, fuzzy sets, data mining and granular computing (RSFDGrC 2003)
Topological approaches to covering rough sets
Information Sciences: an International Journal
A unifying study between modal-like operators, topologies and fuzzy sets
Fuzzy Sets and Systems
The many facets of natural computing
Communications of the ACM
Granular Computing and Rough Set Theory
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
Approximation Theories: Granular Computing vs Rough Sets
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
A Geometry of Approximation: Rough Set Theory Logic, Algebra and Topology of Conceptual Patterns (Trends in Logic)
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Transactions on rough sets VI
On generalizing rough set theory
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Update and Illustration on Granular Computing: Practices, Theory and Future Directions
GRC '10 Proceedings of the 2010 IEEE International Conference on Granular Computing
Approximation spaces and information granulation
Transactions on Rough Sets III
Rough set approximations in formal concept analysis
Transactions on Rough Sets V
Approximate boolean reasoning: foundations and applications in data mining
Transactions on Rough Sets V
Pawlak's Information Systems in Terms of Galois Connections and Functional Dependencies
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
Modal-Like Operators in Boolean Lattices, Galois Connections and Fixed Points
Fundamenta Informaticae
A matroidal approach to rough set theory
Theoretical Computer Science
CMC'12 Proceedings of the 13th international conference on Membrane Computing
Four matroidal structures of covering and their relationships with rough sets
International Journal of Approximate Reasoning
Approximation of sets based on partial covering
Transactions on Rough Sets XVI
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In this current paper we reveal a mathematical tool that helps us to comprehend certain natural phenomena. The main idea of this tool is a possible generalization of approximations of sets relying on the partial covering of the universe of discourse. Our starting point will be an arbitrary nonempty family B of subsets of an arbitrary nonempty universe U. On the analogy of the definition of Pawlak's type @s-algebra @s(U/@e) over a finite universe, let D"B denote the family of subsets of U which contains the empty set and every set in B and it is closed under unions. However, D"Bneither covers the universe nor is closed under intersections in general. Our notions of lower and upper approximations are straightforward point-free generalizations of Pawlak's same approximations which are imitations of the @e-equivalence class based formulations. Both of them belong to D"B. Our discussion will be within an overall approximation framework along which the common features of rough set theory and our approach can be treated uniformly. To demonstrate the relationship of our approach with natural computing, we will show an example relying on the so-called META program which is a recognition and evaluation program of the actual state of the natural and semi-natural vegetation heritage of Hungary.