A new method is proposed for multiple attribute group decision making problems with multigranularity interval linguistic information based on interval twotuple linguistic information and maximizing deviation. Firstly, a transformation function is given to uniform the multigranularity interval linguistic preference information into the form of interval twotuple linguistic information in basic linguistic term set. Then, an objective programming model based on maximizing deviation, by which the attribute weight information is completely unknown, is established. By solving this model, a simple and exact formula can be used to determine the attribute weights. The interval twotuple aggregation operator is utilized to aggregate the linguistic assessment information corresponding to each alternative. The possibility degree of interval twotuple linguistic information is utilized to the result of aggregation in order to rank the alternatives and select the most desirable one(s). Finally, an example is given to demonstrate the feasibility and efficiency of the proposed method.
王晓, 陈华友, 刘兮. 基于离差的区间二元语义多属性群决策方法[J]. J4, 2011, 8(2): 301-.
WANG Xiao, CHEN Hua-You, LIU Xi. Multiple Attribute Group Decision Making with Interval TwoTuple Linguistic Information Based on Deviation. J4, 2011, 8(2): 301-.