Title of article :
Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state
Author/Authors :
Cunderlkova, K. 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 :
The intuitionistic fuzzy event , the intuitionistic fuzzy observable , the intuitionistic fuzzy state , the product , the upper limit , the lower limit , the m-almost everywhere convergence , the m-preserving transformation , the individual ergodic theorem , the Kolmogorov construction
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
