| Title of paper:
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m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function
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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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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 2, pages 29–40
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| DOI:
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https://doi.org/10.7546/nifs.2019.25.2.29-40
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| Download:
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 PDF (195 Kb, File info)
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| Abstract:
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In paper [4] we studied the upper and the lower limits of sequence of intuitionistic fuzzy observables. We used an intuitionistic fuzzy state m for a definition the notion of almost everywhere convergence. We compared two concepts of m-almost everywhere convergence. The aim of this paper is to show the connection between almost everywhere convergence in classical probability space induced by Kolmogorov construction and m-almost everywhere convergence in intuitionistic fuzzy space. We studied the sequence of intuitionistic fuzzy observables induced by Borel measurable function.
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| Keywords:
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Intuitionistic fuzzy event, Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Joint intuitionistic fuzzy observable, Product, Upper limit, Lower limit, m-almost everywhere convergence, Function of several intuitionistic fuzzy observables, Borel measurable function, Kolmogorov construction.
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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. (1983). Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
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