Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

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Cunderlkov K.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:5 Page(s): 13-22

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Information Journal Paper

Title

Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state

Author(s)

Cunderlkov K. | Issue Writer Certificate

Keywords

The intuitionistic fuzzy eventQ2

the intuitionistic fuzzy observableQ2

the intuitionistic fuzzy stateQ2

the productQ2

the upper limitQ2

the lower limitQ2

the m-almost everywhere convergenceQ2

the m-preserving transformationQ2

the individual ergodic theoremQ2

the Kolmogorov constructionQ2

Abstract

The classical ergodic theory has been built on -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.

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APA: Copy

Cunderlkov, K.. (2020). Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(5 ), 13-22. SID. https://sid.ir/paper/371315/en

Vancouver: Copy

Cunderlkov K.. Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(5 ):13-22. Available from: https://sid.ir/paper/371315/en

IEEE: Copy

K. Cunderlkov, “Individual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 5 , pp. 13–22, 2020, [Online]. Available: https://sid.ir/paper/371315/en

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