Copulas and Triangular Norms: Selected Commonalities and Differences

Susanne Saminger-Platz

Copulas and Triangular Norms: Selected Commonalities and Differences

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

Abstract

Copulas and triangular norms share a common history in the context of probabilistic metric spaces, but both have roots way back in different mathematical disciplines and continued to develop further in different fields of applications as well as in theory. In this contribution, we discuss some questions posed independently in each respective fields and highlight related results providing a small tour on selected commonalities and differences of copulas and t-norms.

Original language	English
Title of host publication	Combining, Modelling and Analyzing Imprecision, Randomness and Dependence
Editors	Jonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz
Publisher	Springer Cham
Pages	429-439
Number of pages	10
Volume	1458
ISBN (Print)	978-3-031-65992-8
Publication status	Published - 2024

Publication series

Name	Advances in Intelligent Systems and Computing

Fields of science

101 Mathematics
101013 Mathematical logic
101024 Probability theory

JKU Focus areas

Digital Transformation

Cite this

Saminger-Platz, S. (2024). Copulas and Triangular Norms: Selected Commonalities and Differences. In Jonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz (Ed.), Combining, Modelling and Analyzing Imprecision, Randomness and Dependence (Vol. 1458, pp. 429-439). (Advances in Intelligent Systems and Computing). Springer Cham.

Saminger-Platz, Susanne. / Copulas and Triangular Norms: Selected Commonalities and Differences. Combining, Modelling and Analyzing Imprecision, Randomness and Dependence. editor / Jonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz. Vol. 1458 Springer Cham, 2024. pp. 429-439 (Advances in Intelligent Systems and Computing).

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abstract = "Copulas and triangular norms share a common history in the context of probabilistic metric spaces, but both have roots way back in different mathematical disciplines and continued to develop further in different fields of applications as well as in theory. In this contribution, we discuss some questions posed independently in each respective fields and highlight related results providing a small tour on selected commonalities and differences of copulas and t-norms.",

author = "Susanne Saminger-Platz",

year = "2024",

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volume = "1458",

series = "Advances in Intelligent Systems and Computing",

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Saminger-Platz, S 2024, Copulas and Triangular Norms: Selected Commonalities and Differences. in Jonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz (ed.), Combining, Modelling and Analyzing Imprecision, Randomness and Dependence. vol. 1458, Advances in Intelligent Systems and Computing, Springer Cham, pp. 429-439.

Copulas and Triangular Norms: Selected Commonalities and Differences. / Saminger-Platz, Susanne.
Combining, Modelling and Analyzing Imprecision, Randomness and Dependence. ed. / Jonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz. Vol. 1458 Springer Cham, 2024. p. 429-439 (Advances in Intelligent Systems and Computing).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings › peer-review

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PY - 2024

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AB - Copulas and triangular norms share a common history in the context of probabilistic metric spaces, but both have roots way back in different mathematical disciplines and continued to develop further in different fields of applications as well as in theory. In this contribution, we discuss some questions posed independently in each respective fields and highlight related results providing a small tour on selected commonalities and differences of copulas and t-norms.

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VL - 1458

T3 - Advances in Intelligent Systems and Computing

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BT - Combining, Modelling and Analyzing Imprecision, Randomness and Dependence

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Saminger-Platz S. Copulas and Triangular Norms: Selected Commonalities and Differences. In Jonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz, editor, Combining, Modelling and Analyzing Imprecision, Randomness and Dependence. Vol. 1458. Springer Cham. 2024. p. 429-439. (Advances in Intelligent Systems and Computing).