dc.contributor
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
dc.contributor
Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
dc.contributor.author
Soto, De A R
dc.contributor.author
Recasens Ferrés, Jorge
dc.identifier
Soto, D.; Recasens, J. Modelling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator. "Fuzzy sets and systems", Agost 2001, vol. 121, núm. 3, p. 427-437.
dc.identifier
https://hdl.handle.net/2117/19246
dc.identifier
10.1016/S0165-0114(99)00134-7
dc.description.abstract
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.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (published version)
dc.format
application/pdf
dc.relation
http://www.sciencedirect.com/science/journal/01650114
dc.rights
Restricted access - publisher's policy
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
dc.title
Modelling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator
