A hierarchy of closure operators on the abstract context of lattice structures is investigated, and compared to the abstract approach to rough approximation spaces. In particular, the Tarski, the Kuratowski and the Halmos closures are treated, with the corresponding models of covering, topological and partition spaces.
Cattaneo, G., Ciucci, D. (2008). A hierarchical lattice closure approach to abstract rough approximation spaces. In Proceedings RSKT08 (pp.363-370). Springer [10.1007/978-3-540-79721-0_51].
A hierarchical lattice closure approach to abstract rough approximation spaces
CATTANEO, GIANPIERO;CIUCCI, DAVIDE ELIO
2008
Abstract
A hierarchy of closure operators on the abstract context of lattice structures is investigated, and compared to the abstract approach to rough approximation spaces. In particular, the Tarski, the Kuratowski and the Halmos closures are treated, with the corresponding models of covering, topological and partition spaces.
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