Two open problems of Jayaram are solved. Firstly, we prove that an Archimedean triangular norm with a strong associated negation is necessarily left-continuous. Secondly, as straightforward consequence of the first result, we show that an Archimedean triangular norm with a strong associated negation is necessarily conditionally cancellative.

T-norms with strong negations: Solution of two open problems

Ghiselli Ricci, Roberto
2018

Abstract

Two open problems of Jayaram are solved. Firstly, we prove that an Archimedean triangular norm with a strong associated negation is necessarily left-continuous. Secondly, as straightforward consequence of the first result, we show that an Archimedean triangular norm with a strong associated negation is necessarily conditionally cancellative.
Ghiselli Ricci, Roberto
File in questo prodotto:
File Dimensione Formato  
FSS17OpenProblem.pdf

solo gestori archivio

Descrizione: Full text editoriale
Tipologia: Full text (versione editoriale)
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 216.81 kB
Formato Adobe PDF
216.81 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
GHISELLI-2383428 post-print.pdf

accesso aperto

Descrizione: Post print
Tipologia: Post-print
Licenza: Creative commons
Dimensione 67.37 kB
Formato Adobe PDF
67.37 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11392/2383428
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact