不协调广义多尺度决策系统的局部最优尺度组合选择

Local Optimal Scale Combination Selections in Inconsistent Generalized Multi-scale Decision Systems

针对不协调广义多尺度决策系统中每个对象事例的知识获取问题,文中提出局部最优尺度组合概念.首先,介绍广义多尺度决策系统中的尺度组合概念,给出在不同尺度组合下信息粒的表示及其相互关系.然后,在广义多尺度决策系统中,介绍不同尺度组合下集合的下近似与上近似概念及性质.最后,在不协调广义多尺度决策系统中定义7种局部最优尺度组合的概念,给出它们之间的相互关系,证明实际上只有5种不同的局部最优尺度组合概念.

To investigate knowledge acquisition for objects in inconsistent generalized multi-scale decision systems,the concept of local optimal scale combination is presented.Firstly,the notion of scale combination in a generalized multi-scale information system is introduced.Information granules with different scale combinations as well as their relationships from generalized multi-scale information systems are formulated.Lower and upper approximations of sets with different scale combinations in generalized multi-scale information systems are further constructed and their properties are examined.Finally,concepts of seven types of local optimal scale combinations for an object in an inconsistent generalized multi-scale decision system are defined and their relationships are clarified.It is proved that there are five different types of local optimal scale combinations in fact.