Multi-Dimensional Observers and Relative Entropy of Dynamical Systems

被引:0
|
作者
Asadian, M. H. [1 ]
Molaei, M. R. [1 ]
机构
[1] Islamic Azad Univ, Bandar Abbas Branch, Dept Math, Math, Bandar Abbas, Iran
关键词
Multi-dimensional observer; fuzzy information system; relative entropy; relative conditional entropy; dynamical system; LOGICAL ENTROPY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper the notion of relative probability measure of a set E is considered with respect to a multi-dimensional observer of a set X as a superset of E. Relative entropy of a multi-dimensional observer for the partitions is defined and the properties of relative entropy is extended to multi-dimensional observers. It is shown that the observer of a set plays a role in uncertainty of a partition of it. Relative conditional entropy is also considered and its main properties are proved. Moreover, the relative entropy off a relative measure preserving map is studied as well.
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页码:97 / 115
页数:19
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