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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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آمار تعداد مشاهده مقاله: 107 تعداد دریافت فایل اصل مقاله: 66 |
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