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Computational and Mathematical Methods in Medicine
Volume 2014, Article ID 581316, 12 pages
Research Article

A Method for Fuzzy Soft Sets in Decision Making Based on Grey Relational Analysis and D-S Theory of Evidence: Application to Medical Diagnosis

1College of Information Science and Engineering, Guangxi University for Nationalities, Nanning, Guangxi 530006, China
2College of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, China

Received 31 August 2013; Accepted 18 April 2014; Published 19 May 2014

Academic Editor: Lev Klebanov

Copyright © 2014 Ningxin Xie 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.


A method based on grey relational analysis and D-S theory of evidence is proposed for fuzzy soft sets in decision making. Firstly, grey relational analysis is used to calculate grey mean relational degrees and determine uncertain degrees of parameters. Then based on uncertain degrees, suitable mass functions of different independent alternatives with different parameters can be constructed. Next, D-S rule of evidence combination is applied to aggregate these alternatives into a collective alternative. Finally, these alternatives are ranked and the best alternative(s) are obtained. Moreover, the effectiveness and feasibility of this method are demonstrated by comparing with the mean potentiality approach and giving an application to medical diagnosis.