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In this paper, we study an ordered problem of objects with multi-attributes based on granulation computing (GrC) for an ordered information system (OIS) and develops a novel multi-granulation rough set (MGRS) named the compromise multi-granulation rough set (CMGRS). The CMGRS is a generalized model of the classical MGRS. This new tool has a good weak transitivity and can be used to address ordered problems of objects in an OIS. Based on this novel MGRS, we construct a new approach for the ordered problem of objects for an OIS. This research introduces a method and discusses its characteristics. The results from an example investment project and the 2007 sustainability report indicate that our new approach is significant and efficient and achieves optimal results.

Decision-making Method for an Ordered Information System Based on Multi-granulation Rough Sets