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

Susanne Saminger-Platz

doi:10.1016/j.fss.2008.12.009

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

Susanne Saminger-Platz

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2017-2031
Number of pages	15
Journal	Fuzzy Sets and Systems
Volume	160
Issue number	14
DOIs	https://doi.org/10.1016/j.fss.2008.12.009
Publication status	Published - 16 Jul 2009

Fields of science

101 Mathematics
101004 Biomathematics
101027 Dynamical systems
101013 Mathematical logic
101028 Mathematical modelling
101014 Numerical mathematics
101020 Technical mathematics
101024 Probability theory
102001 Artificial intelligence
102003 Image processing
102009 Computer simulation
102019 Machine learning
102023 Supercomputing
202027 Mechatronics
206001 Biomedical engineering
206003 Medical physics
102035 Data science

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10.1016/j.fss.2008.12.009

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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.",

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AB - 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.

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DO - 10.1016/j.fss.2008.12.009

M3 - Article

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 14

ER -

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

Abstract

Fields of science

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