Intersection of Yager's implications with QL and D-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:
  • International Journal of Approximate Reasoning
  • Year:
  • 2012

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Abstract

The intersection of the different classes of implications is one of the most popular topics nowadays due to the large number of construction methods of these operators. In this paper, we deal with the characterization of the intersection of Yager's implications with QL and D-implications. Some initial steps have already been made with the intersection of Yager's implications with (S,N), R and QL-implications, however some questions remain unanswered. In particular, we solve an open problem related to the characterization of those implications that are both QL-implications and f-generated implications with f(0)