A concept is traditionally defined via the necessary and sufficient conditions
that clearly determine its extension. By contrast, cognitive views of concepts
intend to account for empirical data that show that categorisation under a concept
presents typicality effects and a certain degree of indeterminacy. We propose a formal
language to compactly represent concepts by leveraging on weighted logical
formulas. In this way, we can model the possible synergies among the qualities that
are relevant for categorising an object under a concept. We show that our proposal
can account for a number of views of concepts such as the prototype theory and the
exemplar theory. Moreover, we show how the proposed model can overcome some
limitations of cognitive views
