Poincare Reccurence Theorem on IF Events

被引：0

作者：

Riecan, Beloslav ^{[1
,2
]}

机构：

[1] Matej Bel Univ, Fac Nat Sci, Dept Math, Tajovskeho 40, SK-97401 Banska Bystrica, Slovakia

[2] Math Inst Slovak Acad Sci, SK-81473 Bratislava, Slovakia

来源：

CYBERNETICS AND INFORMATION TECHNOLOGIES | 2009年 / 9卷 / 02期

关键词：

Poincare reccurence theorem; Probability space; Intuitionistic fuzzy set;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The classical Poincare weak reccurence theorem states that for any probability space (Omega; S; P); any P - measure preserving transformation T, and any A epsilon S, almost all points of A return to A. In the present paper the Poincare theorem is proved when the sigma-algebra S is substituted by a family F of all measurable IF subsets of Omega.

引用

页码：26 / 29

页数：4

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