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Issue:Individual ergodic theorem for intuitionistic fuzzy observables using IF-probability

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Title of paper: Individual ergodic theorem for intuitionistic fuzzy observables using IF-probability
Author(s):
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 4, pages 37–47
DOI: 10.7546/nifs.2019.25.4.37-47
Download:  PDF (197  Kb, File info)
Abstract: The aim of this paper is to formulate the individual ergodic theorem for intuitionistic fuzzy observables using P-almost everywhere convergence, where P is 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.
Keywords: Intuitionistic fuzzy event, Intuitionistic fuzzy observable, Intuitionistic fuzzy probability, Product, P-almost everywhere convergence, P-preserving transformation, Individual ergodic theorem.
AMS Classification: 03B52, 60A86, 60B10, 28D05.
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