Fuzzy structured concepts and typicality of their instances

Concepts are considered as ideas underlying categories of objects. Their fuzziness is a matter of graduality of membership-that is, the extent to which an object belongs to the relative categories. However, several scholars reported that the operations defined on fuzzy set theory give contradictory and/or false results, when interpreted as operations on concepts. A mechanism is derived in which semantic aspects are considered in addition to formal aspects. Through this mechanism, the dynamics of the membership function of every object that follows inclusions within concepts are illustrated. The use of the same mechanism is also possible for other operations and the results seem to comply with the requirements indicated by cognitive psychologists satisfactorily. >