Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

Document Type : Research Paper

Author

Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia

Abstract

The classical ergodic theory has
been built on σ-algebras. Later the Individual ergodic
theorem was studied on more general structures like MV-algebras
and quantum structures. The aim of this paper is to formulate the
Individual ergodic theorem for intuitionistic fuzzy observables
using  m-almost everywhere convergence, where  m is an
intuitionistic fuzzy state. We show the Kolmogorov construction
for intuitionistic fuzzy observables, too.

Keywords

Iranian Journal of Fuzzy Systems
Volume 17, Issue 5
September and October 2020
Pages 13-22

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