A granularity-based framework of deduction, induction, and abduction

Yasuo Kudo, Tetsuya Murai, Seiki Akama
2009 International Journal of Approximate Reasoning  
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 the
more » ... and rules used in these processes. Using variable precision rough set models, we consider b-lower approximation of truth sets of nonmodal sentences as typical situations of the given facts and rules, instead of the truth sets of the sentences as correct representations of the facts and rules. Moreover, we represent deduction, induction, and abduction as relationships between typical situations.
doi:10.1016/j.ijar.2009.06.002 fatcat:vnazgd5o6rdsdjicimocgci4kq