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Issue:Intuitionistic fuzzy probability and two theorems from extreme value theory

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Title of paper: Intuitionistic fuzzy probability and two theorems from extreme value theory
Author(s):
Katarína Čunderlíková     0000-0002-9772-2717
Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 2, pages 127–138
DOI: https://doi.org/10.7546/nifs.2025.31.2.127-138
Download:  PDF (176  Kb, File info)
Abstract: The aim of this contribution is to formulate a variation of Fisher—Tipett—Gnedenko theorem and a variation of Pickand—Balkema—de Haan theorem for intuitionistic fuzzy observables using an intuitionistic fuzzy probability. Such the intuitionistic fuzzy probability can be decomposed to two intuitionistic fuzzy states, we will try to apply the results from extreme value theory, which were proving in connection with the intuitionistic fuzzy state, see papers [4, 8].
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy probability, Intuitionistic fuzzy observables, Joint intuitionistic fuzzy observables, Independence, Excess intuitionistic fuzzy distribution, Maximum domain of attraction for intutionistic fuzzy probability, Fisher—Tipett—Gnedenko theorem, Pickands—Balkema—de Haan theorem.
AMS Classification: 03F55, 94D05, 03E72, 60B10, 60B12, 62E17, 62G32.
References:
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