Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

	Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state
Iranian Journal of Fuzzy Systems
مقاله 3، دوره 17، شماره 5، آذر و دی 2020، صفحه 13-22 اصل مقاله (342.15 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5510
نویسنده
K. Cunderlkova^*
Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
چکیده
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.
کلیدواژه‌ها
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

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