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.
The author’s work has been supported by MIUR\(\backslash\)PRIN project ”Automata and Formal languages: mathematical and application driven studies”.
For lack of space, this is an extended abstract of a forthcoming larger version.
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Cattaneo, G., Ciucci, D. (2008). A Hierarchical Lattice Closure Approach to Abstract Rough Approximation Spaces. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science(), vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_51
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DOI: https://doi.org/10.1007/978-3-540-79721-0_51
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