Conditional Fuzzy Entropy of Maps in Fuzzy Systems

被引：4

作者：

Cheng, Wen-Chiao ^{[1
]}

机构：

[1] Chinese Culture Univ, Dept Appl Math, Taipei 11114, Taiwan

来源：

THEORY OF COMPUTING SYSTEMS | 2011年 / 48卷 / 04期

关键词：

Fuzzy entropy; Fuzzy dynamical systems; Power rule; Affinity; Generator;

D O I：

10.1007/s00224-010-9268-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The fuzzy entropy was investigated as an isomorphism invariant in the last decade. The aim of this paper is to define and study a new invariant called conditional fuzzy entropy which is an extension of fuzzy entropy on fuzzy dynamical systems. This new invariant possesses some basic properties, such as isomorphic invariant, power rule, affinity, and generator. The analysis used in the proof of these properties relies on more techniques of ergodic theory and topological dynamics.

引用

页码：767 / 780

页数：14

共 17 条

[1]

[Anonymous], SPRINGER LECT NOTES

[2]

BAN AI, 1998, J FUZZY MATH, V6, P351

[3] Entropy of fuzzy events [J].

Criado, F ;

Gachechiladze, T .

FUZZY SETS AND SYSTEMS, 1997, 88 (01) :99-106

[4] Entanglement entropy on fuzzy spaces [J].

Dou, Djamel ;

Ydri, Badis .

PHYSICAL REVIEW D, 2006, 74 (04)

[5] FUZZY MEASURES AND THE ENTROPY OF FUZZY PARTITIONS [J].

DUMITRESCU, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (02) :359-373

[6] Generators of fuzzy dynamical systems [J].

Dumitrescu, D ;

Haloiu, C ;

Dumitrescu, A .

FUZZY SETS AND SYSTEMS, 2000, 113 (03) :447-452

[7] ENTROPY OF A FUZZY PROCESS [J].

DUMITRESCU, D .

FUZZY SETS AND SYSTEMS, 1993, 55 (02) :169-177

[8] ENTROPY OF FUZZY DYNAMICAL-SYSTEMS [J].

DUMITRESCU, D .

FUZZY SETS AND SYSTEMS, 1995, 70 (01) :45-57

[9] On entropy of fuzzy sets [J].

Hwang, Chao-Ming ;

Yang, Miin-Shen .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2008, 16 (04) :519-527

[10]

KATOK A., 1995, Introduction to the Modern Theory of Dynamical Systems

← 1 2 →