A Method for Intuitionistic Fuzzy Multiple Attribute Decision Making with Incomplete Weight Information

With respect to multiple attribute decision making problems with intuitionistic fuzzy information, some operational laws of intuitionistic fuzzy numbers, correlation and correlation coefficient of intuitionistic fuzzy sets are introduced. An optimization model based on the ideal solution and min-max operator, by which the attribute weights can be determined, is established. We utilize the intuitionistic fuzzy weighted averaging (IFWA) operator to aggregate the intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one(s) according to the correlation coefficient. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.