Abstract: 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, "zooming-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.

Key words: Granular structures, Granularity transformation, Operator, Zooming-in, Zooming-out