Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 6, Pages 4269-4282Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.09.033
Keywords
MAGDM; 2-tuple; Interval-valued 2-tuple; Aggregation operator; Degree of precision
Funding
- Humanities and Social Science Research Planning Project of Henan Provincial Education Department [2011-GH-0052]
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This paper deals with multiattribute group decision making (MAGDM) problems with interval-valued 2-tuple linguistic information. First, we introduce some new aggregation operators, such as the interval-valued 2-tuple weighted geometric (IVTWG) operator, the interval-valued 2-tuple ordered weighted geometric (IVTOWG) operator, the generalized interval-valued 2-tuple weighted average (GIVTWA) operator and the generalized interval-valued 2-tuple ordered weighted average (GIVTOWA). Then, we discuss their desired properties and relationships among them. Furthermore, we put forward a new method to determine the weight vector of interval-valued 2-tuple aggregation operator based on the concept of degree of precision. Finally, a numerical example is provided to illustrate the efficiency of the proposed method in dealing with interval-valued 2-tuple linguistic information under multi-granular linguistic contexts. (C) 2012 Elsevier Inc. All rights reserved.
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