Title:
|
On the $g$-entropy and its Hudetz correction (English) |
Author:
|
Riečan, Beloslav |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
38 |
Issue:
|
4 |
Year:
|
2002 |
Pages:
|
[493]-500 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
The Hudetz correction of the fuzzy entropy is applied to the $g$-entropy. The new invariant is expressed by the Hudetz correction of fuzzy entropy. (English) |
Keyword:
|
fuzzy entropy |
Keyword:
|
dynamical system |
MSC:
|
28E10 |
MSC:
|
37A35 |
MSC:
|
94A17 |
idZBL:
|
Zbl 1265.94035 |
idMR:
|
MR1937143 |
. |
Date available:
|
2009-09-24T19:48:04Z |
Last updated:
|
2015-03-25 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135480 |
. |
Reference:
|
[1] Ban A. I.: Entropy of fuzzy T-dynamical systems.J. Fuzzy Math. 6 (1998), 351–366 MR 1630674 |
Reference:
|
[2] Butnariu D., Klement E. P.: Triangular norm-based measures and their Markov kernel representation.J. Math. Anal. Appl. 162 (1991), 111–143 Zbl 0751.60003, MR 1135265, 10.1016/0022-247X(91)90181-X |
Reference:
|
[3] Dumitrescu D.: Entropy of fuzzy dynamical systems.Fuzzy Sets and Systems 70 (1995), 45–57 Zbl 0876.28029, MR 1323286, 10.1016/0165-0114(94)00245-3 |
Reference:
|
[4] Hudetz T.: Quantum topological entropy.In: Quantum probability VIII (L. Accardi et all, eds.), World Scientific 1992 |
Reference:
|
[5] Maličký P., Riečan B.: On the entropy of dynamical systems.In: Proc. Conf. Ergodic Theory and related Topics II, Georgenthal 1986, Teubner, Leipzig 1987, pp. 135–138 MR 0931138 |
Reference:
|
[6] Mesiar R., Navara M.: $T_s$-tribes and $T_s$-measures.J. Math. Anal. Appl. 201 (1996), 91–102 MR 1397888, 10.1006/jmaa.1996.0243 |
Reference:
|
[7] Mesiar R., Rybárik J.: Entropy of a fuzzy partition: general model.Fuzzy Sets and Systems 99 (1998), 73–79 MR 1643178, 10.1016/S0165-0114(97)00024-9 |
Reference:
|
[8] Mesiar R., Vivona D.: A note to the entropy of fuzzy T-dynamical systems.J. Fuzzy Math. To appear MR 1859552 |
Reference:
|
[9] Pap E.: Null–Additive Set Functions.Kluwer, Dordrecht and Ister, Bratislava 1995 Zbl 1003.28012, MR 1368630 |
Reference:
|
[10] Riečan B., Neubrunn T.: Integral, Measure, and Ordering.Kluwer, Dordrecht and Ister, Bratislava 1997 Zbl 0916.28001, MR 1489521 |
Reference:
|
[11] Rybárik J.: The entropy based on pseudoarithmetical operations.Tatra Mountains Math. Publ. 6 (1995), 157–164 MR 1363994 |
. |