形式背景中属性特征与对象特征的完备定义

摘要

形式背景是形式概念分析理论中的一个重要元素，是用于表达和记录对象与属性之间二元关系的数据载体；形式背景中属性间的关系、对象间的关系是非常重要的关系，由此表现出来的属性的特征、对象的特征非常值得研究。本文目的是给出形式背景中属性特征与对象特征的完备数学定义及其性质，为偏序结构理论的研究奠定坚实的基础。%Formal context is an important element in the formal concept analysis theory, and it is data carrier representing and re-cording the binary relations between objects and attributes. In formal context, attribute is the abstract description of object, but the attribute features and object features are more abstract description. By extracting the features attribute and object in various for-mal contexts, the complete mathematical definition of attribute features and object features has been defined abstractly, and to lay the foundation for the study of partial ordered structure theory.