Font Size: a A A

The Study Of Concept Lattice And Reduction Method Based On Dynamic Many-Valued Context

Posted on:2007-02-07Degree:MasterType:Thesis
Country:ChinaCandidate:L YangFull Text:PDF
GTID:2120360212960345Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
As a powerful formal tool for data organization and data analysis, the concept lattice theory is very important both in theories and actual application, and has been widely and successfully used in many fields. However, in the analysis of the dynamic data and in the concept lattice of reduction and reparation method, the development of the concept lattice theory system still not mature, need the further quest with perfect.This paper, at first, analyzed the formal context that the construction of concept lattice depends on. Based on the single-valued context and the many-valued context, and according to the concrete applied background and the different attribute values, put forward the definition of the number many-valued context, the interval many-valued context and the linguistic many-valued context respectively and discussed them method convert mutually. Analyze the output reason of the dynamic data . For the set of objects in the formal context, this paper presents a viewpoint that objects are interactive, not exist alone. A series of relative notions based on the interaction among objects are defined and the concept lattice model is extended. Then a weighting method of attributes is adopted to deal with the changeable attribute values. Put forward the linguistic assessments scaling theory, carrying out the transformation of the dynamic many-valued context the static single-valued context, thus providing the viable mathematics method for the research of the dynamic many-valued context.Furthermore, for the study of the reduction and preparation of concept lattice, this paper still focused on the formal context, after the definitions of attribute spaces of object and object spaces of attribute are proposed, the object set and the...
Keywords/Search Tags:Concept Lattice, Many-valued Context, Dynamic Many-valued Context, Concept Lattice Reduction, Concept Lattice Reparation
PDF Full Text Request
Related items