模糊关系下的概率粗糙集模型及其Bayes决策

Probability Rough Set Model and Bayes Decision-making under Fuzzy Relationship

经典的概率粗糙集模型是基于论域上的等价关系而建立的,然而在实际应用中,等价关系很难得到。因此,经典的概率粗糙集模型被推广到基于一般二元关系的概率粗糙集模型。更进一步地,还可以推广到模糊二元关系。建立了基于模糊关系的概率粗糙集模型,推广了前人的工作,同时给出了该模型下的Bayes决策方法和应用实例。

The classical probability rough set model had been established on the basis of universe of discourse in equivalent relation. However in the practical application, it was very difficult to obtain the equivalent relation. Therefore, the classical probability rough set model was promoted to have based on the general binary relation probability rough set model. To further extent, it can also be promoted to the fuzzy binary relation. The fuzzy relationship probability rough set model was established, and has promoted predecessor＇s work. At the same time, under this model, Bayes decision method and the application examples were given in respects.