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传统粗糙集理论是基于等价关系来对信息系统进行属性约简的。对于带有决策属性的信息系统,当决策属性值为直觉模糊数的时候,不能直接用粗糙集理论进行属性约简。该文在直觉模糊决策信息系统中引入优势关系。基于优势关系,定义了条件属性集的下近似决策协调集,建立了条件属性集的下近似约简模型,同时给出下近似约简的判定定理以及算法步骤。在一些决策属性值为直觉模糊数的决策信息系统中,利用该文提出的下近似约简方法,可以得到更为简洁的决策规则。最后给出一个实例验证算法的有效性。
Traditional rough set theory is based on the equivalence of the information system to attribute reduction. For information systems with decision attribute, when the decision attribute value is intuitionistic fuzzy number, attribute reduction can not be done directly using rough set theory. This paper introduces the dominant relation in the intuitionistic fuzzy decision-making information system. Based on the superiority relation, the lower approximation decision coordination set of conditional attribute set is defined, and the lower approximation reduction model of conditional attribute set is established. At the same time, the judgment theorem and algorithm steps of lower approximation reduction are given. In some decision information systems whose decision attribute value is intuitionistic fuzzy number, a more concise decision rule can be obtained by using the lower approximation reduction method proposed in this paper. Finally, the validity of an example verification algorithm is given.