An approach to group decision making based on interval fuzzy preference relations

In this paper, we investigate group decision making problems where the decision information given by decision makers takes the form of interval fuzzy preference relations. We first give an index to measure the similarity degree of two interval fuzzy preference relations, and utilize the similarity index to check the consistency degree of group opinion. Furthermore, we use the error-propagation principle to determine the priority vector of the aggregated matrix, and then develop an approach to group decision making based on interval fuzzy preference relations. Finally, we give an example to illustrate the developed approach. This work was partly supported by National Natural Science Foundation of China (60573056). Zheijiang Provincial Natural Science Foundation of China (Z106335, Y105090), Zhejiang Provincial Scientific and Technological Project of China (2006C30030) and Huzhou Municipal Scientific and Technological Project of China (2006GG03). Yunliang Jiang is an Associate Professor of the School of Information Engineering of Huzhou University, and a Ph.D. Candidate of the College of Computer Science of Zhejiang University, China. He obtained the B.S. degree in Mathematics from Zhejiang Normal University in 1989 and the M.E. degree in Computer Science and Technology from Zhejiang University in 1997, respectively. His research interests include information fusion, artificial intelligence, and geographic information system. He has published over 20 papers in journals such as Lecture Notes in Artificial Intelligence, Lecture Notes in Computer Science, Pattern Recognition and Artificial Intelligence (in Chinese), and others.