| Title of paper:
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Conditional intuitionistic fuzzy probability and martingale convergence theorem using IF-probability
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| Author(s):
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| Katarína Čunderlíková
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| Mathematical Institute, Slovak Academy of Sciences, Dumbierska 1, Banska Bystrica, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 3, pages 13–21
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| DOI:
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https://doi.org/10.7546/nifs.2020.26.3.13-21
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| Download:
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 PDF (193 Kb, File info)
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| Abstract:
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The aim of this paper is to formulate the conditional intuitionistic fuzzy probability and a version of martingale convergence theorem with respect an intuitionistic fuzzy probability. Since the intuitionistic fuzzy probability can be decomposed to two intuitionistic fuzzy states, we can use the results holding for intuitionistic fuzzy states.
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| Keywords:
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Intuitionistic fuzzy event, Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Intuitionistic fuzzy probability, Product, Conditional intuitionistic fuzzy probability, Martingale convergence theorem.
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| AMS Classification:
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03B52, 60A86, 60G48.
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| References:
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