Approximation Spaces of Type-Free Sets
| Autor: | Akira Kanda, Peter Apostoli |
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| Rok vydání: | 2001 |
| Předmět: | |
| Zdroj: | Rough Sets and Current Trends in Computing ISBN: 9783540430742 Rough Sets and Current Trends in Computing |
| DOI: | 10.1007/3-540-45554-x_11 |
| Popis: | We present an approximation space (U, R) which is an infinite (hypercontinuum) solution to the domain equation U ≅ C(R), the family of elementary subsets of U. Thus U is a universe of type-free sets and R is the relation of indiscernibility with respect to membership in other type-free sets. R thus associates a family [u]R of elementary subsets with u ∈ U, whence (U, R) induces an generalized approximation space (U, c: U → U; i : U → U); where c(u) = ∪[u]R and i(u) = ∩[u]R. |
| Databáze: | OpenAIRE |
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