3 / 2019-05-09 13:50:28

Using Mathematical Methods to Describe Concepts and Their Connotations and Extensions

mathematical description,formally understand,conceptual system framework,method architecture,state space,attribute coordinates

This paper aims to formally understand the factors of Professor Wang Peizhuang and Professor Feng Jiali's attribute theory. The method is: first, to clarify the mathematical description and its meaning of the concept and its connotation and extension, and then, to the mathematical description of the class, ie the factor or dimension and its state space, at the same time, to the attribute coordinates and qualitative mapping and its application, Finally, compare the mathematical descriptions of the two series of classification and characterization. The result is the discovery of attributes, properties, nature, and the complex structural relationships between classes and factors. The significance is not only the factors involved in the extension and the nature of the mathematical description of the attributes involved in the connotation are highlighted, but also the mathematical description of the entire conceptual system framework and method architecture.