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Modelling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator
Soto, De A R; Recasens Ferrés, Jorge
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
This work shows a method to obtain a hierarchy of partitions on the universe [0,1] in such a way that each of them is compatible with a refinement of Lukasiewicz indistinguishability operator. The classes of the partition at a given level present a relation of antonymy between them. Moreover, the partition at a certain level can be seen as the refinement of a previous level by means of a class of linguistic modifiers. Due to this fact, they seem appropriate for modeling linguistic labels of a linguistic variable. The associated indistinguishability operators show the increasing granularity when the number of classes rises up.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
Fuzzy logic
Lògica difusa

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