Structure of upper and lower approximation spaces of infinite sets

Authors:
D. S. Malik;John N. Mordeson
Affiliations:
Department of Mathematics and Computer science, Creighton University, Omaha, NE;Department of Mathematics and Computer science, Creighton University, Omaha, NE
Venue:
Data mining, rough sets and granular computing
Year:
2002

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Abstract

We determine structural properties of upper and lower approximation spaces. In particular, we show that an upper approximation space is a union of its primary subspaces if and only if it is benign. We also show that in a principle upper approximation space which is not primary, the prime and maximal subspaces coincide.