A DS-AHP Approach for Multi-attribute Decision Making Problem with Intuitionistic Fuzzy Information

A new method to solve multi-attribute decision making problem with Intuitionistic Fuzzy (IF) information is given here. This method is based on the Dempster Shafer-Analytical Hierarchy Process (DS-AHP) theory. The DS-AHP theory can solve a problem directly based on the decision matrix which is different from most of current methods. But in reality, the decision maker may provide several types of uncertain information such as fuzzy or interval values. So, the original DS-AHP method is combined with the IF information here. The expected utility is used to transform decision matrix with intuitionistic fuzzy information which is obtained from assessment. And then a non-linear optimization model is used to combine all the attributes. Using the combined results, the rank of the alternatives can be finally got. At the end of the paper a numerical example is studied to illustrate the details.