| Title of paper:
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A note about almost uniform convergence on D-poset of intuitionistic fuzzy sets
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| Author(s):
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| Katarína Čunderlíková
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| Mathematical Institute, Slovak Academy of Sciences, Štefánikova 898/49, 814 73 Bratislava, Slovakia
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| cunderlikova.lendelova@gmail.com
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| Presented at:
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Proceedings of the 27th International Conference on Intuitionistic Fuzzy Sets, 5–6 July 2024, Burgas, Bulgaria
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 56–65
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| DOI:
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https://doi.org/10.7546/nifs.2024.30.1.56-65
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| Download:
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 PDF (223 Kb, File info)
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| Abstract:
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The aim of this contribution is studying the almost uniform convergence on D-poset of intuitionistic fuzzy sets. We prove the connection between almost everywhere convergence of random variables in Kolmogorov probability space and almost uniform convergence of observables in the mentioned D-poset. We define a product operation on D-poset of intuitionistic fuzzy sets and prove the existence of a joint observable, too.
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| Keywords:
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D-poset, Intuitionistic fuzzy sets, State, Observable, Joint observable, Product, Almost uniform convergence, Almost everywhere convergence, Kolmogorov probability space.
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| AMS Classification:
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03B52; 60A86; 60B10.
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| References:
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- Atanassov, K. T. (2016). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Central Scientific-Technical Library of the Bulgarian Academy of Sciences, 1697/84) (in Bulgarian). Reprinted in: International Journal Bioautomation, 20, S1–S6.
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- Čunderlíková, K. (2024). Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 29(4), 335–342.
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