In this paper, we extend the traditional information aggregating operators to interval-valued bipolar uncertain linguistic sets (IVBULSs) and propose some interval-valued bipolar uncertain linguistic aggregating operators. Then, the good properties of these proposed operators are investigated and these operators are used to solve the interval-valued bipolar uncertain linguistic multiple attribute decision making (MADM) problems. An example for evaluating the computer network security is given to illustrate the proposed methodology. INDEX TERMS Multiple attribute decision making (MADM), bipolar fuzzy sets (BFSs), interval-valued bipolar uncertain linguistic sets (IVBULSs), interval-valued bipolar uncertain linguistic hybrid average (IVBULHA) operator, interval-valued bipolar uncertain linguistic hybrid geometric (IVBULHG) operator, computer network security.