A device for evaluating a temperature measurement signal of a temperature measurement facility has a modeling unit with a first input for picking up an input signal which is indicative for the temperature measurement signal, a second input for picking up a feedback signal, and an output for outputting an output signal. The output signal can be generated in dependence on the input signal and the feedback signal by using a computational model stored in the modeling unit. The feedback signal (slope) is directly or indirectly dependent on the output signal. Furthermore, an alarm indicator with an evaluation device of this type and a method for evaluating a temperature measurement signal are provided. Alongside this, a computer-readable storage medium and also a program element are described, which contain instructions for carrying out the evaluation method.