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Issue:Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets

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Title of paper: Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets
Author(s):
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Presented at: Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 335–342
DOI: https://doi.org/10.7546/nifs.2023.29.4.335-342
Download:  PDF (220  Kb, Info)
Abstract: The aim of this contribution is to formulate some definitions of almost uniformly convergence for a sequence of observables in the MV-algebra of the intuitionistic fuzzy sets. We define a partial binary operation ⊖ called difference on MV-algebra of intuitionistic fuzzy sets. As an illustration of the use the almost uniformly convergence we prove a variation of Egorov’s theorem for the observables in MV-algebra of intuitionistic fuzzy sets.
Keywords: MV-algebra, ℓ-groups, Intuitionistic fuzzy sets, States, Observables, Difference, Almost uniformly convergence, Egorov’s theorem.
AMS Classification: 03B52, 60A86, 60B10.
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