中文摘要：

首先给出标记背景的定义，在多标记背景下提出标记规则的概念，讨论标记规则的一些性质．然后在多标记背景的基础上，引入决策标记得到多标记决策背景，进一步探讨标记规则之间的冗余问题．再通过粒标记规则定义多标记决策背景的协调性，提出在保持协调性的前提下选择最优标记的方法．最后通过数值实验说明文中算法的有效性．

英文摘要：

Firstly, several kinds of multi-scale contexts are defined firstly, the notion of a scale rule is put forward, and some properties of scale rules are discussed. Secondly, decision scale is introduced into multi-scale contexts to form multi-scale decision contexts, and the redundancy between scale rules is also investigated. Moreover, granular scale rules are employed to define the consistency of multi-scale decision context, and an optimal scale selection method is presented grounded on the consistency guarantee of the multi-scale decision context. Finally, numerical experiments show the effectiveness of the proposed method.