Granular Reasoning and Decision System’s Decomposition

Abstract

In order to make further researches on decision logic, a generalized form of decision reasoning called granular reasoning is introduced, which is induced by the inclusion relation over granules, and is connected with granule’s operations. The investigations on it shows that granular reasoning not only covers a wider range including decision reasoning, but also satisfies the rules of deduction in classical logic. Thus, granular reasoning can be taken as a foundation to support decision reasoning. On the other hand, granular reasoning has close links with a decision system. Based on granular reasoning, a decision system can be divided into sub-decision systems. Consequently, as a special form of granular reasoning, decision reasoning defined in a decision system becomes to rely on sub-decision systems. This makes decision reasoning easier.