Dynamic DEMATEL Group Decision Approach Based on Intuitionistic Fuzzy Number

Abstract

With respect to the problems of aggregation about group experts' information and dynamic decision in DEMATEL (decision making trial and evaluation laboratory), a dynamic DEMATEL group expert decision-making method on intuitionistic fuzzy number (IFN) is presented. Firstly using IFN instead of Keywords: DEMATEL, intuitionistic fuzzy numbers, dynamic intuitionistic fuzzy weighted averaging operator IntroductionA kind of complex system factor analysis method, called Decision Making Trial and Evaluation Laboratory method (DEMATEL) was first conceived by George Washington university center in Geneva Battelle association in 1973 [1]. This kind of method is a tool based on graph theory and matrix to analyze the importance of the factors of system. The method constructs the direct influence matrix(DIM) through the experts' qualitative judgment of the logical relationship and influence between each other in the complex system factors analysis. Then it can calculate the degree of reason and center, so as to reveal the intrinsic causal relationship and find out the key factors of the system. Because of its practicability and convenience the method itself, DEMATEL receive high attention by scholars both at home and abroad, and it has been widely applied in many field [2]- [3]. However, through a lot of practical application, many scholars have found experts' judgment is subjective and arbitrary in the process of decision-making. Therefore the improvement of DEMATEL method becomes research hotspot in recent years. Several literatures respectively propose using grey number, triangular fuzzy number in DIM construction in order to make the experts' judgment more objective and scientific such as Tseng (2009), Don& Hshiung (2012 and Wu (2011) [4]- [6]. But these methods above are still failed to solve the science problem of experts' judgment building mechanism. We have put forward using intuitionistic fuzzy number to express experts' preference information in DEMATEL decision-making, which is based on the system intuition thinking of academician Wang Zhongtuo [7], and fully considering the expert information such as cognitive ability, personal preferences and situational characteristics. The extended method results by intuitionistic fuzzy numbers, improve the DEMATEL evaluation model. However, the vast majority literatures of DEMATEL decision-making are only focused on the judgment of the relationship between system factors by one single expert at the same period. But the relationship between the factors is complicated and diverse at different periods, also and the experts' knowledge and individual experience has certain limitation in many situations. It is necessary to develop some approaches to deal with these issues. At this point of view, when the complexity of system increases, the scientific decision making process often needs evaluation of multi-person and multi-rounds. In this paper, we shall take time dimension into decision making process, and aggregate experts' information of different periods effectively. It ...

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