Journal
KNOWLEDGE AND INFORMATION SYSTEMS
Volume 25, Issue 3, Pages 623-634Publisher
SPRINGER LONDON LTD
DOI: 10.1007/s10115-009-0258-3
Keywords
Multiple attribute group decision making; Linguistic assessment information; Technique for order performance by similarity to ideal solution (TOPSIS); 2-Tuple linguistic positive ideal solution (TLPIS); 2-Tuple linguistic negative ideal solution (TLNIS); Incomplete weight
Funding
- Science and Technology Research Foundation of Chongqing Education Commission [KJ091204]
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With respect to linguistic multiple attribute group decision making problems with incomplete weight information, a new method is proposed. In the method, the 2-tuple linguistic representation developed in recent years is used to aggregate the linguistic assessment information. In order to get the weight vector of the attribute, we establish an optimization model based on the basic ideal of traditional technique for order performance by similarity to ideal solution, by which the attribute weights can be determined. Then, the optimal alternative(s) is determined by calculating the shortest distance from the 2-tuple linguistic positive ideal solution, and on the other side, the farthest distance of the 2-tuple linguistic negative ideal solution. The method has exact characteristic in linguistic information processing. It avoided information distortion and losing, which occur formerly in the linguistic information processing. Finally, a numerical example is used to illustrate the use of the proposed method. The result shows the approach is simple, effective, and easy to calculate.
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