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Issue:Basic theorems from extreme value theory for MV-algebras

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Title of paper: Basic theorems from extreme value theory for MV-algebras
Author(s):
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Renáta Bartková
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01 Banská Bystrica, Slovakia
renata.hanesova@gmail.com
Published in: "Issues in IFSs and GNs", Volume 14 (2018/19), pages 1-24
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Abstract: In the paper the space of observables with respect to MV-algebras is considered. We prove the modification of the Fisher-Tippet Gnedenko theorem and the Pickands-Balkema-de Haan theorem for sequence of independent observables in probability MV-algebra. We show that the results for MValgebras can be applied for intuitionistic fuzzy sets and interval valued sets, too.
Keywords: MV-algebra, MV-state, Observable, Joint observable, Independence, Fisher-Tippet-Gnedenko theorem, Excess distribution, Maximum domain of attraction, Generalized Pareto distribution, Extreme value theory, Pickands-Balkema-de Haan theorem.
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