Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

author

  • K. Cunderlkova Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
Abstract:

The classical ergodic theory hasbeen built on σ-algebras. Later the Individual ergodictheorem was studied on more general structures like MV-algebrasand quantum structures. The aim of this paper is to formulate theIndividual ergodic theorem for intuitionistic fuzzy observablesusing  m-almost everywhere convergence, where  m is anintuitionistic fuzzy state. We show the Kolmogorov constructionfor intuitionistic fuzzy observables, too.

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Journal title

volume 17  issue 5

pages  13- 22

publication date 2020-10-01

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