Decision Making is a core area in different fields in the real world. This plenary lecture focuses mainly on those problems dealing with vague and uncertain information, that often is based on perceptions. In such problems the linguistic information is a very helpful and flexible tool to model such a type of information but it implies the accomplishment of processes of computing with words. In the literature there exist different linguistic computing models to deal with linguistic information. This contribution reviews, analyzes and discusses different features of computing models in linguistic decision making, to verify if they can be branded as computing with words models.