To access the full text documents, please follow this link: http://hdl.handle.net/2117/18869

Maps and isometries between indistinguishability operators
Jacas Moral, Juan; Recasens Ferrés, Jorge
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
In this paper, some geometric aspects of indistinguishability operators are studied by using the concept of morphism between them. Among all possible types of morphisms, the paper is focused on the following cases: Maps that transform a T-indistinguishability operator into another of such operators with respect to the same t-norm T and maps that transform a T-indistinguishability operator into another one of such operators with respect to a different t-norm T ′. The group of isometries of a given T-indistinguishability operator is also studied and it is determined for the case of one-dimensional operators, in particular for the natural indistinguishability operators E T on [0, 1]. Finally, the indistinguishability operators invariant under translations on the real line are characterized.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
Fuzzy logic
Lògica difusa
info:eu-repo/semantics/publishedVersion
Article
         

Show full item record

Related documents

Other documents of the same author

Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge
Recasens Ferrés, Jorge; Boixader Ibáñez, Dionís; Jacas Moral, Juan
Jacas Moral, Juan; Recasens Ferrés, Jorge
Boixader Ibáñez, Dionís; Jacas Moral, Juan; Recasens Ferrés, Jorge
Jacas Moral, Juan; Recasens Ferrés, Jorge
 

Coordination

 

Supporters