THE ENTROPY OF FUZZY DYNAMIC-SYSTEMS AND GENERATORS

被引：50

作者：

MARKECHOVA, D

机构：

[1] Department of Mathematics, Pedagogical Faculty, 949 01 Nitra

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 48卷 / 03期

关键词：

FUZZY PROBABILITY SPACE; ENTROPY; FUZZY DYNAMIC SYSTEMS; GENERATORS;

D O I：

10.1016/0165-0114(92)90350-D

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper the entropy and conditional entropy of stochastical complete repartitions are defined. The represented measure satisfies all properties analogous to the properties of entropy of measurable repartitions in the crisp case. Further, the notion of entropy of fuzzy dynamical systems is defined. The above notion generalizes the notion of entropy of dynamical systems from the classical probability theory. Finally, the Kolmogorov-Sinaj theorem on generators is proved for the fuzzy case.

引用

页码：351 / 363

页数：13

共 19 条

[1] FUZZY QUANTUM SPACES AND COMPATIBILITY [J].

DVURECENSKIJ, A ;

CHOVANEC, F .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1988, 27 (09) :1069-1082

[2]

DVURECENSKIJ A, 1989, BUSEFAL, V38, P24

[3]

DVURECENSKIJ A, 1988, BUSEFAL, V36, P132

[4]

Kolmogorov A.N., 1933, GRUNDBEGRIFFE WAHRSC

[5]

KOLMOGOROV AN, 1958, DOKL AKAD NAUK SSSR+, V119, P861

[6]

MALICKY P, IN PRESS ERGODIC THE, V2

[7]

Markechova D., 1989, BUSEFAL, V38, P94

[8]

Markechova D., 1989, BUSEFAL, V38, P38

[9]

NEUBRUNN T, 1981, MEASURE INTEGRAL

[10]

PIASECKI K, 1985, FUZZY SETS SYSTEMS, V17, P272

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