对象导出三支概念格的熵属性约简

将信息熵引入形式背景中,研究对象导出三支概念格的熵属性约简. 首先,定义对象导出三支概念格的信息熵、条件熵和互信息等概念;其次,根据属性在约简过程中的重要性探讨核心属性和非核心属性的熵判定条件,并得出对象导出三支概念格的熵协调集等价于OEG协调集(对象导出三支概念格的粒协调集),对象导出三支概念格的熵约简集等价于OEG约简集;最后,给出决策形式背景中对象导出三支概念格的熵协调和熵约简等概念,并给出启发式熵约简的方法.

Entropy Attribute Reduction of Object-Induced Three-Way Concept Lattice

The article introduces information entropy into the formal context, and the entropy attribute reduction of object-induced three-way concept lattice is studied. Firstly, the concepts of information entropy, conditional entropy and mutual information of object-induced three-way concept lattice are defined. Then, according to the significance of attribute in the reduction process, the criteria of core attributes and non-core attributes are investigated, and the equivalence between entropy consitent set of object-induced three-way concept lattice and OEG consistent set(object-induced three-way concept lattice granular consistent set)are obtained, the equivalence between entropy reduction set of object-induced three-way concept lattice and OEG reduction set are acquired. Finally, the concepts of entropy consistent and entropy reduction of object-induced three-way concept lattice in formal decision context are given, and the methods of heuristic entropy reduction are also provided.