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Mathematical Problems in Engineering
Volume 2014, Article ID 635476, 7 pages
http://dx.doi.org/10.1155/2014/635476
Research Article

Multiattribute Group Decision Making with Unknown Decision Expert Weights Information in the Framework of Interval Intuitionistic Trapezoidal Fuzzy Numbers

1Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450046, China
2Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China

Received 19 March 2014; Accepted 16 July 2014; Published 5 August 2014

Academic Editor: Tofigh Allahviranloo

Copyright © 2014 Zongcai Jiang and Yan Wang. 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

The aim of this paper is to investigate an approach to multiattribute group decision making with interval intuitionistic trapezoidal fuzzy numbers, in which the decision expert weights are unknown. First, we introduce a distance measure between two interval intuitionistic trapezoidal fuzzy matrixes, and based on the distance between individual matrix and extreme matrix, as well as the average matrix, we obtain the decision expert weights. Second, we utilize the interval intuitionistic trapezoidal fuzzy weighted geometric (IITFWG) operator and the interval intuitionistic trapezoidal fuzzy ordered weighted geometric (IITFOWG) operator to aggregate all individual interval intuitionistic trapezoidal fuzzy decision matrices into a collective interval intuitionistic trapezoidal fuzzy decision matrix and then derive the group overall evaluation values of the given alternatives. Finally, an illustrative example of emergency alternatives selection is given to demonstrate the effectiveness and superiority of the proposed method.