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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 186502, 16 pages
http://dx.doi.org/10.1155/2014/186502
Research Article

Power Geometric Operators of Hesitant Multiplicative Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making

College of Communications Engineering, PLA University of Science and Technology, Nanjing, Jiangsu 210007, China

Received 30 December 2013; Revised 9 April 2014; Accepted 9 April 2014; Published 6 May 2014

Academic Editor: Valentina Emilia Balas

Copyright © 2014 Lei 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

Multiplicative relations are one of most powerful techniques to express the preferences over alternatives (or criteria). In this paper, we propose a wide range of hesitant multiplicative fuzzy power aggregation geometric operators on multiattribute group decision making (MAGDM) problems for hesitant multiplicative information. In this paper, we first develop some compatibility measures for hesitant multiplicative fuzzy numbers, based on which the corresponding support measures can be obtained. Then we propose several aggregation techniques, and investigate their properties. In the end, we develop two approaches for multiple attribute group decision making with hesitant multiplicative fuzzy information and illustrate a real world example to show the behavior of the proposed operators.