Logical entropy of dynamical systems in product MV-algebras and general scheme

被引：1
作者：
Markechova, Dagmar [1 ]
Riecan, Beloslav [2 ,3 ]
机构：
[1] Constantine Philosopher Univ Nitra, Dept Math, Fac Nat Sci, Nitra, Slovakia
[2] Matej Bel Univ, Dept Math, Fac Nat Sci, Banska Bystrica, Slovakia
[3] Slovak Acad Sci, Math Inst, Bratislava, Slovakia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
关键词：
Product MV-algebra; Partition; Sub-additive generator; Entropy; Dynamical system; FUZZY; PROBABILITY;
D O I：
10.1186/s13662-019-1946-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechova et al. (Entropy 20:129, 2018), we define the logical entropy of a dynamical system in the studied algebraic structure. In addition, we introduce a general type of entropy of a product MV-algebra dynamical system that includes the logical entropy and the Kolmogorov-Sinai entropy as special cases. It is proved that the proposed entropy measure is invariant under isomorphism of product MV-algebra dynamical systems.
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页数：17
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