Abstract
AbstractThe proportional 2-tuple linguistic model provides a tool to deal with linguistic term sets that are not uniformly and symmetrically distributed. This study further develops multi-attribute group decision making methods with linguistic assessments and linguistic weights, based on the proportional 2-tuple linguistic model. Firstly, this study defines some new operations in proportional 2-tuple linguistic model, including weighted average aggregation operator with linguistic weights, ordered weighted average operator with linguistic weights and the distance between proportional linguistic 2-tuples. Then, four multi-attribute group decision making methods are presented. They are the method based on the proportional 2-tuple linguistic aggregation operator, technique for order preference by similarity to ideal solution (TOPSIS) with proportional 2-tuple linguistic information, elimination et choice translating reality (ELECTRE) with proportional 2-tuple linguistic information, preference ranking organi...
Highlights
Due to the complexity and uncertainty of decision making environment, some problems cannot be dealt with by precise and exact models
The main aim of this paper is to develop multi-attribute group decision making methods with linguistic assessments and linguistic weights, based on the Wang and Hao model
Our proposal will provide a novel approach to deal with the multi-attribute group decision making problems, in which decision makers can comfortably express their preferences by linguistic term sets that are not uniformly and symmetrically distributed
Summary
Due to the complexity and uncertainty of decision making environment, some problems cannot be dealt with by precise and exact models. The models based on extension principle perform the retranslation step as an approximation process to express the results in the initial term set provoking a lack of accuracy[26] To avoid such inaccuracy, Herrera and Martínez[24] proposed the 2tuple linguistic model, and the Herrera and Martínez model has been successfully applied in a wide range of applications[2,3,11,12,14,16,33,35,46]. The main aim of this paper is to develop multi-attribute group decision making methods with linguistic assessments and linguistic weights, based on the Wang and Hao model (i.e., the proportional 2-tuple linguistic model). Our proposal will provide a novel approach to deal with the multi-attribute group decision making problems, in which decision makers can comfortably express their preferences by linguistic term sets that are not uniformly and symmetrically distributed.
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