Multi-criteria decision-making method based on intuitionistic normal fuzzy aggregation operators

Intuitionistic normal fuzzy numbers as well as their operational laws and Euclidean distance are defined,and some intuitionistic normal fuzzy aggregation operators including weighted arithmetic averaging operator and weighted geometric averaging operator are also defined.For multiple criteria decision making problems,in which the criteria values are intuitionistic normal fuzzy numbers and the criteria weight information is incomplete,an approach based on intuitionistic normal fuzzy aggregation operators is proposed.The optimal criteria weights are obtained by an optimal model based on the minimum of the sum of the distance between every two alternatives.And after aggregating criteria values by using intuitionistic normal fuzzy aggregation operators,the comprehensive evaluation values of all alternatives can be gotten.Then,the ranking of the whole alternatives set can be obtained by comparing the relative closeness of alternatives to the ideal and anti-ideal solutions.An example is given to show the feasibility and availability of the method.