Abstract: Representation of granule and partial order relation and operations between two hyperbox granules are studied, and the algebraic system is induced by hyperbox granule set, partial order relation between two hyperbox granules, and operations between two hyperbox granules. The corresponding theorems of the induced algebraic system are proposed and proved.

Key words: hyperbox granules, partial order relation, join operator, meet operator, algebraic system

摘要： 研究了超盒粒的表示方法、超盒粒之间的偏序关系和超盒粒之间的运算，构造由粒集、超盒粒之间的偏序关系和算子组成的代数系统，给出了超盒粒的格代数系统的相关定理及其证明。

关键词: 超盒粒, 偏序关系, 合并算子, 分解算子, 代数系统