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文献[Wang C Z,Wu C X,Chen D G.A systematic study on attribute reduction with rough setsbased on general binary relations.Information Sciences,178(2008),2237～2261]将基于经典粗糙集上的属性约简模型推广到基于广义粗糙集模型上,给出了关系决策系统中属性约简的判定定理和辨识矩阵。但是在属性约简模型中,支撑域的界定使模型的一般性受到限制。本文通过重新定义决策域的正域,给出了改进的决策系统属性约简判定定理和辨识矩阵,并对约简性质进行研究,实现关系决策系统基于正域的属性约简。
The literature [Wang CZ, Wu CX, Chen D GA systematic study on attribute reduction with rough sets based on general binary relations. Information Sciences, 178 (2008), 2237-2221] extended the attribute reduction model based on classical rough sets to On the generalized rough sets model, the judgment theorem and identification matrix of attribute reduction in relational decision system are given. However, in the attribute reduction model, the definition of the support domain limits the generality of the model. In this paper, by redefining the positive domain of decision-making domain, an improved decision-making attribute reduction decision-making theorem and an identification matrix are given. The properties of reduction are studied to realize the attribute-reduction based on the positive domain of the decision-making system.