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In this paper, we propose a granularity-based framework of deduction, induction, and abduction using variable precision rough set models proposed by Ziarko and measurebased semantics for modal logic proposed by Murai et al. The proposed framework is based on a-level fuzzy measure models on the basis of background knowledge, as described in the paper. In the proposed framework, deduction, induction, and abduction are characterized as reasoning processes based on typical situations about thedoi:10.1016/j.ijar.2009.06.002 fatcat:vnazgd5o6rdsdjicimocgci4kq