Journal
APPLIED MATHEMATICAL MODELLING
Volume 35, Issue 4, Pages 1926-1936Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2010.11.001
Keywords
Multiple attribute group decision-making; Weight of decision maker; TOPSIS; Positive ideal solution; Left negative ideal solution; Right negative ideal solution
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In general, weights of decision makers (DMs) play a very important role in multiple attribute group decision-making (MAGDM), how to measure the weights of DMs is an interesting research topic. This paper presents a new approach for determining weights of DMs in group decision environment based on an extended TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method. We define the positive ideal solution as the average of group decision. The negative ideal solution includes two parts: left and right negative ideal solution, which are the minimum and maximum matrixes of group decision, respectively. We give an example to illustrate the developed approach. Finally, the advantages and disadvantages of this study are also compared. (C) 2010 Elsevier Inc. All rights reserved.
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