On the dominance relation between ordinal sums of conjunctors

Susanne Saminger; Bernard De Baets; Hans De Meyer

On the dominance relation between ordinal sums of conjunctors

Susanne Saminger
, Bernard De Baets
, Hans De Meyer

Institute for Mathematical Methods in Medicine and Data Based Modeling

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

Abstract

This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some wellknown parametric families of t-norms and copulas.

Original language	English
Pages (from-to)	337-350
Number of pages	14
Journal	Kybernetika
Volume	42
Issue number	3
Publication status	Published - 2006

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

Cite this

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title = "On the dominance relation between ordinal sums of conjunctors",

abstract = "This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some wellknown parametric families of t-norms and copulas.",

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AB - This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some wellknown parametric families of t-norms and copulas.

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JO - Kybernetika

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ER -

On the dominance relation between ordinal sums of conjunctors

Abstract

Fields of science

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Cite this