Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

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.

کلیدواژه ها:

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