Tolerance-based multigranulation rough sets in incomplete systems

Abstract

Presently, the notion ofmultigranulation has been brought to our attention. In this paper, the multigranulation technique is introduced into incomplete information systems. Both tolerance relations and maximal consistent blocks are used to construct multigranulation rough sets. Not only are the basic properties about these models studied, but also the relationships between different multigranulation rough sets are explored. It is shown that by using maximal consistent blocks, the greater lower approximation and the same upper approximation as from tolerance relations can be obtained. Such a result is consistent with that of a single-granulation framework.

Keywords

incomplete information system / maximal consistent block / multigranulation rough sets / tolerance relation

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg