The entropy of semi-independent hyper MV-algebra dynamical systems

被引：9

作者：

Mehrpooya, Adel ^{[1
]}

Ebrahimi, Mohammad ^{[1
]}

Davvaz, Bijan ^{[2
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Math, Kerman 7616914111, Iran

[2] Yazd Univ, Dept Math, Yazd, Iran

来源：

SOFT COMPUTING | 2016年 / 20卷 / 04期

关键词：

Hyper MV-algebra; Entropy; Dynamical system; Generator;

D O I：

10.1007/s00500-015-1850-y

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the notion of a semi-independent dynamical system on a hyper MV-algebra is introduced. The concept of the entropy for a semi-independent hyper MV-algebra dynamical system is developed, and its characteristics are considered. The notion of equivalent semi-independent systems is defined, and it is proved the fact that two equivalent semi-independent hyper MV-algebra dynamical systems have the same entropy. Theorems to help calculate the entropy are given. Specifically, a new version of Kolmogorov-Sinai Theorem has been proved.

引用

页码：1263 / 1276

页数：14

共 7 条

[1] The entropy of semi-independent hyper MV-algebra dynamical systems
Adel Mehrpooya
Mohammad Ebrahimi
Bijan Davvaz
Soft Computing, 2016, 20 : 1263 - 1276
[2] Entropy on Semi MV-Algebra
Giski, Eslami Z.
Ebrahimi, M.
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (01): : 83 - 100
[3] Tsallis Entropy of Product MV-Algebra Dynamical Systems
Markechova, Dagmar
Riecan, Beloslav
ENTROPY, 2018, 20 (08)
[4] On the entropy of dynamical systems in product MV algebras
Petrovicová, J
FUZZY SETS AND SYSTEMS, 2001, 121 (02) : 347 - 351
[5] ENTROPY OF MV-ALGEBRAIC DYNAMICAL SYSTEMS: AN EXAMPLE
Barbieri, Giuseppina
Lenzi, Giacomo
MATHEMATICA SLOVACA, 2019, 69 (02) : 267 - 274
[6] Logical entropy of dynamical systems in product MV-algebras and general scheme
Dagmar Markechová
Beloslav Riečan
Advances in Difference Equations, 2019
[7] Logical entropy of dynamical systems in product MV-algebras and general scheme
Markechova, Dagmar
Riecan, Beloslav
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)

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