Based on knowledge base of rough sets theory, knowledge integral sum and knowledge integral are defined.Their properties and the connection with Lebesgue integral sum and integral are studied.

• 摘要基于粗糙集理论的知识库，定义了知识积分和与知识积分，研究了它们自身的性质及与勒贝格积分和、勒贝格积分的关系。