Multi-attribute decision making based on three-parameter vague sets

In view of the practical problems in multi-attribute decision-making, a method based on three-parameter vague sets is proposed. Firstly, three-parameter vague set is introduced to make up for the shortage of the original vague set in expressing fuzzy information, and the method for finding core is proposed. Secondly, the method that indicator value described by linguistic variables is transformed into three-parameter vague value is brought forward. Thirdly, a model of multi-attribute decision making based on three-parameter vague sets is put forward. Fourthly, a novel comprehensive evaluation index is proposed, by which the meaning of “which is closest to PIS (Positive Ideal Solution) and farthest from NIS (Negative Ideal Solution)” is expressed and the concrete steps are given. Finally, the proposed method is applied into a case study and the result proves the method is effective.