Multiple attribute decision making with triangular intuitionistic fuzzy numbers and application to cloud service provider selection

The notion of Triangular intuitionistic fuzzy numbers (TIFNs) is very useful and interesting in Multiple Attribute Decision Making (MADM) problems for quantifying uncertainty and subjectivity, but the ranking of TIFNs is not an easy problem. The aim of this paper is to propose a new approach to rank TIFNs. The concepts and operational laws of TIFNs are introduced. Then a new approach is developed to rank TIFNs by determining intersection value of diagonals. And the ranking method is applied to MADM problems, in which the attribute preference values take the form of TIFNs. In addition, a cloud computing service provision example is also provided to illustrate the procedure of the proposed method, and the results of experiments verify that the method is effective and feasible.