因素空间理论与知识表示的数学框架——概念的反馈外延与因素的重合性

本文是文献（１，２）的继续，该文及后续的论文的将系统地研究因素空间理论及其在知识表示中的应用，首先引入反馈外延这一表示概念的新工具，它为表达概念提供了直接的操作方法，然后设计了反馈外延的包络，它是对概念外延的一种逼近，最后讨论了关于概念的重合性重合性测度的公理化定义。

FACTOR SPACES AND MATHEMATICAL FRAME OF KNOWLEDGE REPRESENTATION FEEDBACK EXTENSION OF A CONCEPT AND COINCIDENCE OF FACTORS

This paper is the third of a series of papers discussing in detail factor spaces and knowledge representation based on factor spaces. First, feedback extension of a concept is introduced, which can offers direct operating methods for describing concepts. Second, envelope of feedback extension is designed, regarded as approximate extension. Then coincidence of factors is discussed and measure of the coincidence is defined.