Abstract: Interval-valued information system is one of the common information systems. In this paper, the attribute synthetic interval-valued information system is defined based on the same finite universal. The basic theory of formal context is introduced into the attribute synthetic interval valued information system and generate the formal context based on the sub-contexts. Then, the relationship is studied between the consistent sets on the formal context and the sub-contexts. The construction method of isomorphism concept lattice on the original formal context is provided; Finally, the conclusions are verified through the instance.

Key words: attribute synthetic interval-valued information system, consistent set, formal context, concept, concept lattice

摘要： 区间值信息系统是常见的信息系统之一。针对相同论域上的区间值信息系统给出属性合成的区间值信息系统；将形式背景的基本理论引入到合成区间值信息系统中，讨论利用子形式背景直接构造原形式背景；进而研究子形式背景与原形式背景下协调集之间的关系，给出原形式背景下同构概念格的构造方法；最后利用实例验证相关结论。

关键词: 属性合成区间值信息系统, 协调集, 形式背景, 概念, 概念格