@misc{cogprints4770,
          volume = {34},
          author = {Diederik Aerts and Liane Gabora},
          editor = {Alexander Riegler},
           title = {A theory of concepts and their combinations I: The structure of the sets of contexts and properties
},
       publisher = {Emerald},
         journal = {Kybernetes},
           pages = {167--191},
            year = {2005},
        keywords = {concept, conjunction, combination, context, entanglement, exemplar, mathematical model, prototype, potentiality, quantum, representation, state, structure},
             url = {http://cogprints.org/4770/},
        abstract = {We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context into the mathematical structure used to describe a concept, and thereby model how context influences the typicality of a single exemplar and the applicability of a single property of a concept. We introduce the notion `state of a concept' to account for this contextual influence, and show that the structure of the set of contexts and of the set of properties of a concept is a complete orthocomplemented lattice. The structural study in this article is a preparation for a numerical mathematical theory of concepts in the Hilbert space of quantum mechanics that allows the description of the combination of concepts.}
}

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