不完备模糊决策信息系统的粗集模型与精度约简

Rough Set Model and Precision Reduction in Incomplete and Fuzzy Decision Information Systems

在不完备信息系统和模糊决策信息系统概念及其粗集模型的基础上,本文提出了不完备模糊决策信息系统的概念,给出了不完备模糊决策信息系统的粗糙集模型,它既不同于不完备近似空间上的信息系统又不同于完备空间上的模糊决策信息系统。该模型是完备模糊决策信息系统和经典决策信息系统粗糙集模型的推广。文中还给出了系统的精度约简概念及其约简算法。

Incomplete space and fuzzy decision information system exist in many applications, and their models and methods for knowledge reduction are not equivalent to incomplete Pawlak space information system or fuzzy decision inT formation system in complete space. This paper proposes the concept of incomplete and fuzzy decision information sys- tems based on incomplete approximation space and fuzzy decision information systerrL, and gives the rough set model of incomplete and fuzzy decision information systems by the tolerance relation. The model generalizes rough set model of complete fuzzy decision information systems and traditional decision information systems. In this paper the concept of precision reduction and the simple algorithm are presented.