A novel multi-attribute decision-making method based on neighborhood and its application

To reduce the influence of attribute weight on the result of multi-attribute decision-making (MADM), a new MADM method is proposed for MADM, namely, the Disadvantage and Advantage Neighborhood Environments Comparison. This method determines the ranking of objects by analyzing the ratio of advantage neighborhood sets (environments) to the disadvantage neighborhood sets (environments) of objects. First, the advantage and disadvantage neighborhood sets (environments) of objects are constructed on the basis of the attributes of the objects. The two types of advantage and disadvantage neighborhood approximations are presented, and their related properties are studied. Second, a new MADM method is designed according to the advantages and disadvantages of the objects as a means of overcoming the influence of attribute weight on the decision making results. Finally, we show the process of the method through calculation and the rationality of our method through the comparative analysis and the consistency analysis.