A conceptual space is a geometric structure that represents a number of quality dimensions, which denote basic features by which concepts and objects can be compared, such as weight, color, taste, temperature, pitch, and the three ordinary spatial dimensions.
[3][4][5] It is motivated by notions such as conceptual similarity and prototype theory.
The theory also puts forward the notion that natural categories are convex regions in conceptual spaces.
The notion of concept convexity allows the interpretation of the focal points of regions as category prototypes.
In the more general formulations of the theory, concepts are defined in terms conceptual similarity to their prototypes.
Conceptual spaces have found applications in both cognitive modelling and artificial intelligence.