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Mathematical Problems in Engineering
Volume 2015, Article ID 672140, 9 pages
http://dx.doi.org/10.1155/2015/672140
Research Article

An Extended TODIM Method for Group Decision Making with the Interval Intuitionistic Fuzzy Sets

College of Economics and Management, Civil Aviation University of China, Tianjin 300300, China

Received 3 December 2014; Revised 6 March 2015; Accepted 24 March 2015

Academic Editor: Elena Benvenuti

Copyright © 2015 Yanwei Li 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

For a multiple-attribute group decision-making problem with interval intuitionistic fuzzy sets, a method based on extended TODIM is proposed. First, the concepts of interval intuitionistic fuzzy set and its algorithms are defined, and then the entropy method to determine the weights is put forward. Then, based on the Hamming distance and the Euclidean distance of the interval intuitionistic fuzzy set, both of which have been defined, function mapping is given for the attribute. Finally, to solve multiple-attribute group decision-making problems using interval intuitionistic fuzzy sets, a method based on extended TODIM is put forward, and a case that deals with the site selection of airport terminals is given to prove the method.