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Optimistic Multigranulation Rough Set in Incomplete Information System

Sheng Yao, Longshu Li

Abstract


In the view of granular computing, classical rough set theory is based on single granulation; however, multigranulation rough set theory is used to describe a target concept through multiple binary relations. The multigranulation rough set approach has been introduced into the incomplete information system. Maximal consistent block technique is primarily constructed on a single granulation. This paper first extends a single granulation to multigranulation about the maximal consistent block. Based on this maximal consistent block, a new optimistic multigranulation rough set in the incomplete information system is established. The lower and upper approximations of a set are defined based on this new model, and some properties are proposed for this new model.

Keywords


maximal consistent block, optimistic, multigranulation.

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