Lattices Generated by Information Systems and their Internal Structure
DOI:
https://doi.org/10.6000/2371-1647.2018.04.01Keywords:
Object, attribute, information system, information lattice, coarsening, diamond, region.Abstract
The paper exploits the fact that every information system generates a family of equivalence relations in the set of considered objects, and the corresponding family of partitions of this set, and that this family is a lattice with certain properties. It describes the internal structure of any lattice with sucThe paper exploits the fact that every information system generates a family of equivalence relations in the set of considered objects, and the corresponding family of partitions of this set, and that this family is a lattice with certain properties. It describes the internal structure of any lattice with such properties and shows that such a lattice is generated by an information system
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