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给出了一种由粗糙集代数构造格蕴涵代数的方法。根据同态映射,讨论了相应格蕴涵代数的同态性质。证明了在满足一定条件下由粗糙集代数可以构造一个与之格蕴涵同态的代数结构,此为基于粗糙集的逻辑推理提供了赋值域,这是本文意义之所在。
A method of constructing lattice implication algebra from rough set algebra is given. According to the homomorphism mapping, the homomorphic properties of the corresponding lattice implication algebra are discussed. It is proved that algebraic structure can be constructed by rough set algebra under the condition of satisfying certain conditions. This is the meaning of this paper because it provides an assignment domain for logical reasoning based on rough sets.