The fuzzy analogies of some ergodic theorems

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 dynamical system;    fuzzy measurable space;    F-observable;    ergodic theorem;    37A30;    47A35;    03E72;   

DOI  :  10.1186/s13662-015-0499-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the paper (Markechová in Fuzzy Sets Syst. 48:351-363, 1992), fuzzy dynamical systems have been defined. In this contribution, using the method of F-σ-ideals, we prove analogies of some ergodic theorems for fuzzy dynamical systems.

【 授权许可】

CC BY