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Mathematical Problems in Engineering
Volume 2016, Article ID 6145196, 14 pages
Research Article

A Modified TOPSIS Method Based on Numbers and Its Applications in Human Resources Selection

1School of Computer and Information Science, Southwest University, Chongqing 400715, China
2Big Data Decision Institute, Jinan University, Tianhe, Guangzhou 510632, China
3Institute of Integrated Automation, School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
4School of Engineering, Vanderbilt University, Nashville, TN 37235, USA

Received 29 February 2016; Accepted 28 April 2016

Academic Editor: Rita Gamberini

Copyright © 2016 Liguo Fei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Multicriteria decision-making (MCDM) is an important branch of operations research which composes multiple-criteria to make decision. TOPSIS is an effective method in handling MCDM problem, while there still exist some shortcomings about it. Upon facing the MCDM problem, various types of uncertainty are inevitable such as incompleteness, fuzziness, and imprecision result from the powerlessness of human beings subjective judgment. However, the TOPSIS method cannot adequately deal with these types of uncertainties. In this paper, a -TOPSIS method is proposed for MCDM problem based on a new effective and feasible representation of uncertain information, called numbers. The -TOPSIS method is an extension of the classical TOPSIS method. Within the proposed method, numbers theory denotes the decision matrix given by experts considering the interrelation of multicriteria. An application about human resources selection, which essentially is a multicriteria decision-making problem, is conducted to demonstrate the effectiveness of the proposed -TOPSIS method.