A characterization of residual implications derived from left-continuous uninorms

  • Authors:
  • I. Aguiló;J. Suñer;J. Torrens

  • Affiliations:
  • Departament de Ciències Matemítiques i Informítica, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain;Departament de Ciències Matemítiques i Informítica, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain;Departament de Ciències Matemítiques i Informítica, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

Quantified Score

Hi-index 0.07

Visualization

Abstract

In this paper, a set of axioms is given that characterizes those functions I:[0,1]^2-[0,1] for which a left-continuous uninorm U exists in such a way that I is the residual implication derived from U. A characterization for the particular cases when U is representable, when U is continuous in ]0,1[^2 and when U is idempotent are also given.