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Issue:M-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function

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Title of paper: m-almost everywhere convergence of intuitionistic fuzzy observables induced by Borel measurable function
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 898/49, 814 73 Bratislava
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 2, pages 29–40
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Abstract: 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.
Keywords: 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.
AMS Classification: 03B52, 60A86, 60B10.
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