Birkhoff’s individual ergodic theorem and maximal ergodic theorem for fuzzy dynamical systems

Advances in Difference Equations

Dagmar Markechov¹  Anna Tirpkov¹ 

[1] Department of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, Nitra, Slovakia

关键词: fuzzy probability space;    fuzzy dynamical system;    F-observable;    ergodic theorem;    37A30;    47A35;    03E72;   

DOI  :  10.1186/s13662-016-0855-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In our previous paper (Tirpáková and Markechová in Adv. Differ. Equ. 2015:171, 2015), we presented fuzzy analogies of Mesiar’s ergodic theorems. Our aim in this contribution is to prove analogues of Birkhoff’s individual ergodic theorem and the maximal ergodic theorem for the case of fuzzy dynamical systems.

【 授权许可】

CC BY