Towards an Algebraic Modeling of Emotional States

In this study, we present a new vision of modeling emotional states. Indeed, the proposed model is different from traditional approaches like ontological representation. It is based on an algebraic representation of emotions. We represent every emotion as a vector in a space of 8 dimensions where every axis represents a basic emotion. This multidimensional model provides to represent infinity of emotion and provides powerful mathematical tools for the analysis and the processing of these emotions. Therefore, our model permits to model not only the basic emotions (e.g., anger, sadness, fear) but also different types of complex emotions like simulated and masked emotions. Moreover, it permits the exchange of emotional states between heterogeneous applications regardless to the modalities and sensors used in the detection step.