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Original Articles
Relative Entropy of Relative Measure Preserving Maps with Constant Observers
M.R. Molaeimrmolaei@mail.uk.ac.irDepartment of Mathematics, Shahid Bahonar University of KermanDepartment of Mathematics, Islamic Azad University, Bardsir BranchKerman, 76169–14111, IranView full profile → , B. Ghazanfaribahman_ghazanfari@yahoo.comDepartment of Mathematics, Faculty of Science, Lorestan UniversityDepartment of Mathematics Faculty of Science, Lorestan UniversityKhoramabad, 68137–17133, IranView full profile →
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- Received:
- 12 Jun 2007
- Published Online:
- 01 Nov 2007
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2007.10698537
- Pages:
- 179–191
Abstract
In this paper the notion of relative entropy for a finite relative partition is considered. Relative measure preserving map on a relative probability space with a constant observer is studied. The notion of relative entropy for relative measure preserving maps is considered. Relative probability spaces and relative entropy as a generalization of the notions of fuzzy probability space and the entropy of fuzzy dynamical systems are studied.
Keywords
References
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