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中文摘要：
文章从多粒度视角研究了区间值信息系统（interval-valued information system, IvlS），定义了多粒度容差关系，给出了乐观和悲观的2种模型，研究了其性质及其与单粒度模型的联系与区别；然后定义了区间值决策系统（interval-valued decision system, IvDS）的多粒度决策规则的置信度因子及决策规则提取方法，并且给出了决策规则支持定理及其证明；最后通过一个算例验证了所提理论方法的正确性与有效性。
英文摘要：
Interval-valued information system（IvlS） is investigated from the perspective of multi-granu- lation. The optimistic model and pessimistic model are proposed by multi-tolerance relation. Then their properties are researched and the differences and relationships compared with single-granulation model are discussed. Moreover, the certainty factor of the decision rule as well as acquisition method of interval-valhed decision system（IvDS） is given. The decision rules support theorem is proposed and proved. Finally, a numerical example is given to demonstrate the correctness and effectiveness of the proposed method.
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