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Mathematical Problems in Engineering
Volume 2014, Article ID 307586, 6 pages
http://dx.doi.org/10.1155/2014/307586
Research Article

Multiattribute Grey Target Decision Method Based on Soft Set Theory

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Received 19 June 2014; Accepted 25 September 2014; Published 14 October 2014

Academic Editor: Yuji Liu

Copyright © 2014 Xia Wang 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.

Abstract

With respect to the Multiattribute decision-making problems in which the evaluation attribute sets are different and the evaluating values of alternatives are interval grey numbers, a multiattribute grey target decision-making method in which the attribute sets are different was proposed. The concept of grey soft set was defined, and its “AND” operation was assigned by combining the intersection operation of grey number. The expression approach of new grey soft set of attribute sets considering by all decision makers were gained by applying the “AND” operation of grey soft set, and the weights of synthesis attribute were proved. The alternatives were ranked according to the size of distance of bull’s eyes of each alternative under synthetic attribute sets. The green supplier selection was illustrated to demonstrate the effectiveness of proposed model.