关键词: 多粒度空间, 粗糙近似, 知识推理

Abstract: This paper aims at establishing a one-to-one correspondence between rough approximation operators in multigranulation space and epistemic operators in knowledge reasoning, and thus providing a more reasonable semantic interpretation for rough approximation operators in multigranulation space. By deeply analyzing the close relationship between the semantic set of a logic formula and that of the formula obtained by adding different epistemic operators, this paper proves that EG, CG, DG are in one-to-one correspondence with rough lower approximation operator in model AIU, rough lower approximation operator in model RU and rough lower approximation operator in model RI, respectively. The obtained results are the generalization of the relationship between modal logic and Pawlak rough set in multi-agent environment.

Key words: multigranulation space, rough approximation, knowledge reasoning