广义不完备信息系统中一种拓展粗糙集模型

摘要

以同时具有遗漏型和丢失型未知属性值的广义不完备信息系统为研究对象,定义一种用于分类的α程度限制优势关系,提出一种基于α程度限制优势关系的拓展粗糙集模型,并给出其上、下近似性质.通过一个教师教学质量评估实例,说明这种模型在广义不完备信息系统中处理模糊和不确定知识是有效和可行的.%The generalized incomplete information system in which lost and absent unknown values coexisting is deeply investigated, a degree limited dominance relation is defined for the classification of universe. Based on the a degree limited dominance relation, an extended rough set model is proposed. Moreover, concepts of lower and upper approximations are studied as well as their properties. An example of evaluation of teaching quality is used to demonstrate that the proposed extended rough set model is feasible and effective to deal with fuzzy and uncertain knowledge in the generalized incomplete information system.