1(School of Mathematical Sciences,Huaqiao University,Key Laboratory of Computational Science,Fujian University,Quanzhou 362021,China)2(School of Mathematics Sciences and Statistics,Minnan Normal University,Zhangzhou 363000,China)
Abstract:By dividing a large amount of information into blocks according to their own characteristics,granular computing simplifies the scale of huge information and data,and provides an effective method for dealing with big data.The formal decision context define operators through object sets and attribute sets and their relationships,thus forming conceptual information granules to achieve a deep understanding of huge information,this information processing method is widely used.The different purpose of cognitive information leads to different cognitive depth requirements and we need multi-scale processing of information.For this reason,this paper extends the granular transformation function of multi-scale information system to the formal context,and establishes the granular structure model of multi-scale formal decision context.First,the basic concept and consistent of formal decision context are reviewed.Secondly,the multi-scale formal context is introduced,and the relationship between information granules,rough approximation,and various consistent relationships of corresponding formal context between different scales are discussed.On this basis,the multi-scale formal decision context is introduced,and the transitivity of consistent of the system is studied.Finally,the optimal scale selection of the system is discussed and a concrete example is given.