Sensory analysis is an important part of the process of evaluation of the quality of wines. Nowadays, one of the most used methods for describing this evaluation is the concept of awards. In the process of granting the award for a wine, each specialist assigns a score for the quality according to the tasting score sheet proposed by the <i>Organisation Internationale de la Vigne et du Vin<i/> (OIV). After this, on the basis of the average of the scores assigned by each specialist, the award of the wine is determined. The present proposal seeks to refine the concept of award on the basis of the scores assigned to each item on the tasting score sheet, as well as giving theoretical support to the refinement of the award concept, identified as consistency. The defined technical support uses statistical tools for the modeling and structuring of the methodology. Finally, a method of visualizing the dynamic of the scores assigned by each specialist is presented. It is concluded that the stochastic quantification and the theory of graphs allowed the visualization and definition of a theoretical support that refines the process of the determination of wine quality.