粒计算三元论模型将现有粒计算研究成果的共性抽象出来,为问题求解提供了统一的方法论,而三元论模型是以多层次、多视角的粒结构为基础的.基于图的粒结构首先定义了图上的粒和层次,然后基于半序关系定义了图上的粒结构.在基于图的粒结构基础上,给出了实现不同粒度之间转换的“细化”、“粗化”运算符.“细化”运算处理从粗粒度到细粒度的转换,将粗粒度层次中的粒转换为细粒度层次中的粒,将粗粒度层次转换为细粒度层次.“粗化”运算处理从细粒度到粗粒度的转换,将细粒度层次中的粒转换为粗粒度层次中的粒,将细粒度层次转换为粗粒度层次.通过粒结构和“细化”、“粗化”运算,可以在不同的粒度上分析同一问题并使其在不同粒度之间自由转换.%The triarchic theory of granular computing offers a conceptual framework of granular computing. It emphasized the exploitation of useful structures known as granular structures characterized by multilevel and multiview. The granular structures in graphs were studied,granules and levels in a graph were defined based on the vertices set, and granular structures in the graph were defined based on partial orders. Based on the granular structures in graphs, "zoo-ming-in" and "zooming-out" operators were proposed. The "zooming-in" operator deals with the shift from a fine granularity to a coarse granularity and the "zooming-out" operator deals with the change from a coarse granularity to a fine granularity.
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