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Mohammadi, Uosef. (1402). Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras. , 13(1), 13-21. doi: 10.22103/jmmr.2023.19947.1304
Uosef Mohammadi. "Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras". , 13, 1, 1402, 13-21. doi: 10.22103/jmmr.2023.19947.1304
Mohammadi, Uosef. (1402). 'Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras', , 13(1), pp. 13-21. doi: 10.22103/jmmr.2023.19947.1304
Mohammadi, Uosef. Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras. , 1402; 13(1): 13-21. doi: 10.22103/jmmr.2023.19947.1304

Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras

Journal of Mahani Mathematical Research
دوره 13، شماره 1 - شماره پیاپی 26، بهمن 2023، صفحه 13-21    اصل مقاله (460.44 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2023.19947.1304
نویسنده
Uosef Mohammadi*
Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran
چکیده
‎In the context of observers‎, ‎any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model‎. ‎The purpose of the present paper is to study the relative model of logical entropy‎. ‎Given an observer $ \Theta $‎, ‎we define the relative logical entropy and relative conditional logical entropy of a sub-$ \sigma_\Theta $-algebra having finitely many atoms on the relative probability $ \Theta‎- ‎$measure space and prove the ergodic properties of these measures‎. ‎Finally‎, ‎it is shown that the relative logical entropy is invariant under‎
‎the relation of equivalence modulo zero.
کلیدواژه‌ها
Observer‎؛ ‎Relative logical entropy‎؛ ‎sub-$ \sigma_\Theta $-algebra؛ invariant
مراجع
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