On the characterization of Yager's implications

  • Authors:
  • Sebastia Massanet;Joan Torrens

  • Affiliations:
  • Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, Km. 7.5, 07122 Palma de Mallorca, Spain;Department of Mathematics and Computer Science, University of the Balearic Islands, Ctra. de Valldemossa, Km. 7.5, 07122 Palma de Mallorca, Spain

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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Abstract

In this paper, characterizations of Yager's f- and g-implications are presented. Since their introduction in 2004, the properties of these implications have been studied in detail but they have not been characterized yet. The characterizations given here are based on the law of importation, a functional equation that has been extensively studied. Moreover, particular characterizations of Reichenbach, Yager and Goguen implications are derived from these results.