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Powers of indistinguishability operators
Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
The application of a t-norm more than one time to the same object can be seen as the modelization of a semantic reinforcement of it. From a mathematical viewpoint, this operation can be seen as powers. Depending on the properties the t-norm ful¿lls several interesting properties emerge. This work will study what is the effect of the application of powers to indistinguishability operators, sets of extensionals, upper and lower approximations. It will be proved that there is a tight relation between the powers of an indistinguishability and their respective sets of extensionals, upper and lower approximations, and how this can be interpreted from a semantic point of view.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
Fuzzy logic
Extensional set
Indistinguishability operator
Lower approximation
Natural mean
Powers of at-norm
Upper approximation
Lògica difusa
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Institute of Electrical and Electronics Engineers (IEEE)
         

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Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge
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