期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 9, 页码 4106-4117出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.11.041
关键词
Multiple attribute group decision making; Weight of decision maker; Interval number; Positive ideal decision; Negative ideal decision
Group decision making is an active area of research within multiple attribute decision making. This paper assumes that all the decision makers (DMs) are not equally qualified to contribute equitably to the decision process. The aim of this paper is to develop an approach to determine weights of DMs, in which the decision information on alternatives with respect to attributes, provided by each DM, is represented in the form of interval data. We define the average of all individual decisions as the positive ideal decision (PID), and the maximum separation from PID as the negative ideal decision, which are characterized by a matrix, respectively. The weight of each DM is determined according to the Euclidean distances between the individual decision and ideal decisions. By using the obtained weights of DMs, all individual decisions are aggregated into a collective decision. Then the alternatives is ranked based on the collective decision. Meanwhile, this paper also gives a humanized decision method by using an optimistic coefficient, which is used in adjusting the relative importance between profit and risk. Finally, we give an example to illustrate the developed approach. (C) 2011 Elsevier Inc. All rights reserved.
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