Title :
Comprehensive Evaluation Method Combining SVD with Ordinal Operator
Author_Institution :
Sch. of Comput. Sci., Sichuan Normal Univ., Chengdu, China
Abstract :
Traditional comprehensive evaluation methods have the problem of inconsistence between multi-evaluation conclusions. To solve the above problem, some researchers provide a multi-evaluation conclusion aggregation method based on singular value decomposition. However, due to the approximate process on ordinal matrix, the SVD-based aggregation method will lose the ordinal information of original matrix and the loss will bring bad affection to the sort precision. To remedy the above deficiency, in this paper an ordinal operator is proposed to combine the ordinal information of original matrix with the result of SVD-based aggregation method. An applying instance shows the validity of the proposed method.
Keywords :
approximation theory; decision making; matrix algebra; operations research; singular value decomposition; SVD; SVD-based aggregation method; approximation process; comprehensive evaluation method; multicriteria sort problem; multievaluation conclusion aggregation method; ordinal matrix; ordinal operator; singular value decomposition; Aggregates; Computer science; Cost accounting; Decision making; Equations; Industrial engineering; Information management; Innovation management; Matrix decomposition; Singular value decomposition; comprehensive evaluation; ordinal operator; singular value decomposition;
Conference_Titel :
Information Management, Innovation Management and Industrial Engineering, 2009 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-0-7695-3876-1
DOI :
10.1109/ICIII.2009.117