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ON LOCAL HUDETZ g-ENTROPY | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 14، شماره 1، اردیبهشت 2017، صفحه 89-97 اصل مقاله (355.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3041 | ||
| نویسنده | ||
| M. Rahimi* | ||
| Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran | ||
| چکیده | ||
| In this paper, a local approach to the concept of Hudetz $g$-entropy is presented. The introduced concept is stated in terms of Hudetz $g$-entropy. This representation is based on the concept of $g$-ergodic decomposition which is a result of the Choquet's representation Theorem for compact convex metrizable subsets of locally convex spaces. | ||
| کلیدواژهها | ||
| $g$-entropy؛ $g$-ergodic decomposision؛ Hudetz correction | ||
| مراجع | ||
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[1] D. Dumitrescu, Measure-preserving transformation and the entropy of a fuzzy partition, 13th Linz Seminar on Fuzzy Set Theory, (Linz, 1991), 25-27. [2] D. Dumitrescu, Fuzzy measures and the entropy of fuzzy partitions, J. Math. Anal. Appl., 176 (1993), 359-373. [3] D. Dumitrescu, Entropy of a fuzzy process, Fuzzy Sets and Systems, 55 (1993), 169-177. [4] D. Dumitrescu, Entropy of fuzzy dynamical systems, Fuzzy Sets and Systems, 70 (1995), 45-57. [5] T. Hudetz, Space-time dynamical entropy of quantum systems, Lett. Math. Phys., 16 (1988), 151-161. [6] T. Hudetz, Algebraic topological entropy, In: Eds., G. A. Leonov et al. Eds., Nonlinear Dynamics and Quantum Dynamical Systems, (Akademie Verlag, Berlin, 1990), 110-124. [7] D. Markechova, The entropy on F-quantum spaces, Math. Slovaca, 40 (1990), 177-190. [8] D. Markechova, The entropy of fuzzy dynamical systems and generators, Fuzzy Sets and Systems, 48 (1992), 351-363. [9] D. Markechova, Entropy of complete fuzzy partitions, Math. Slovaca, 43(1) (1993), 1-10. [10] D. Markechova, A note to the Kolmogorov-Sinaj entropy of fuzzy dynamical systems, Fuzzy Sets and Systems, 64 (1994), 87-90. [11] R. Mesiar and J. Rybarik, Entropy of fuzzy partitions: A general model, Fuzzy Sets and Systems, 99 (1998), 73-79. [12] M. Rahimi and A. Riazi, On local entropy of fuzzy partitions, Fuzzy Sets and Systems, 234 (2014), 97-108 [13] M. Rahimi and A. Riazi, Fuzzy entropy of action of semi-groups, Math. Slovaca, 66(5) (2016), 1157-1168. [14] M. Rahimi, A local approach to g-entropy, Kybernetica, 51(2) (2015), 231-245. [15] B. Riecan, On a type of entropy of dynamical systems, Tatra Mountains Math. Publ., 1 (1992), 135-140. [16] B. Riecan and D. Markechova, The entropy of fuzzy dynamical systems, general scheme and generators, Fuzzy Sets and Systems, 96 (1998), 191-199. [17] B. Riecan, On the g-entropy and its Hudetz correction, Kybernetika, 38(4) (2002), 493-500. [18] J. Rybarik, The entropy of the Q-F-dynamical systems, Busefal, 48 (1991), 24-26. [19] J. Rybarik, The entropy based on pseudoarithmetical operations, Tatra Mountains Math. Publ., 6 (1995), 157-164. | ||
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