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We elaborate a theory for the modeling of concepts using the mathematicalstructure of quantum mechanics. Concepts are represented by vectors in thecomplex Hilbert space of quantum mechanics and membership weights of items aremodeled by quantum weights calculated following the quantum rules. We applythis theory to model the disjunction of concepts and show that experimentaldata of membership weights of items with respect to the disjunction of conceptscan be modeled accurately. It is the quantum effects of interference andsuperposition, combined with an effect of context, that are at the origin ofthe effects of overextension and underextension observed as deviations from aclassical use of the disjunction. We put forward a graphical explanation of theeffects of overextension and underextension by interpreting the quantum modelapplied to the modeling of the disjunction of concepts.

Quantum Interference and Superposition in Cognition: Development of a Theory for the Disjunction of Concepts