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Mathematical Problems in Engineering
Volume 2016, Article ID 3145341, 8 pages
Research Article

The Weighted Distance Measure Based Method to Neutrosophic Multiattribute Group Decision Making

1College of Science, Northeast Forestry University, Harbin 150040, China
2College of Automation, Harbin Engineering University, Harbin 150001, China
3College of Science, Harbin Engineering University, Harbin 150001, China

Received 26 March 2016; Revised 25 April 2016; Accepted 5 May 2016

Academic Editor: Peide Liu

Copyright © 2016 Chunfang Liu and YueSheng Luo. 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.


Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function, and falsity membership function. In this paper, we study the multiattribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unknown attribute weight. We first define the single-valued neutrosophic ideal solution (SVNIS) and the weighted distance measure and establish the program models to derive the attribute weights. Then, we give a practical application in the framework of SVNS; the result shows that our method is reasonable and effective in dealing with decision making (DM) problems. Furthermore, we extend the method to interval-valued neutrosophic set (IVNS).