The dominance relation in some families of continuous Archimedean t-norms and copulas

  • Authors:
  • Susanne Saminger-Platz

  • Affiliations:
  • Department of Knowledge-Based Mathematical Systems, Johannes Kepler University Linz, A-4040 Linz, Austria

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

Quantified Score

Hi-index 0.20

Visualization

Abstract

The dominance relation in several families of continuous Archimedean t-norms and copulas is investigated. On the one hand, the contribution provides a comprehensive overview on recent conditions and properties of dominance as well as known results for particular cases of families. On the other hand, it contains new results clarifying the dominance relationship in five additional families of continuous Archimedean t-norms and copulas.