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Issue:Invariant intuitionistic fuzzy observables

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Title of paper: Invariant intuitionistic fuzzy observables
Author(s):
Katarína Čunderlíková     0000-0002-9772-2717
Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 1–14
DOI: https://doi.org/10.7546/nifs.32.1.1-14
Download:  PDF (222  Kb, File info)
Abstract: The aim of this contribution is showed that a sequence of Cesaro means of intuitionistic fuzzy observables has an invariant limit m-almost everywhere, where m is an intuitionistic fuzzy state. We proved that this limit is an invariant intuitionistic fuzzy observable for a special type of intuitionistic fuzzy observables called P-intuitionistic fuzzy observables. We formulated the modification of the Individual Ergodic Theorem for this case of intuitionistic fuzzy observables.
Keywords: Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Almost everywhere convergence, Almost everywhere coincidence, Joint intuitionistic fuzzy observable, Product, Invariant intuitionistic fuzzy observable, Cesaro means, P-intuitionistic fuzzy observable, Individual Ergodic Theorem. .
AMS Classification: 60A86, 60A10, 60F17, 28D05, 37A30.
References:
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