A ranking method with a preference relation based on the PROMETHEE method in incomplete multi-scale information systems.

Multi-scale information systems (MSISs) contain more comprehensive evaluations with different scales than general single-scale counterparts, thus multi-criteria decision-making (MCDM) problems from MSISs are in line with practical scenarios. However, the loss problem of information encountered in decision-making processes brings certain troubles to MCDM. Due to this limitation, a ranking method based on a preference relation in incomplete multi-scale information systems (IMSISs) is proposed in this article. The core idea of the preference ranking organization method for enrichment evaluation II (PROMETHEE II method) is first introduced into IMSISs and a process on dealing with incomplete information in an IMSIS is developed. Then, a corresponding MCDM method is constructed into IMSISs. Finally, a numerical example with different parameters is employed to verify the usefulness of the constructed method, and a comparative study of the constructed method with other MCDM methods is explored to demonstrate the effectiveness of the newly presented method. [ABSTRACT FROM AUTHOR]