A local approach to g -entropy

Mehdi Rahimi

Kybernetika (2015)

  • Volume: 51, Issue: 2, page 231-245
  • ISSN: 0023-5954

Abstract

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In this paper, a local approach to the concept of g -entropy is presented. Applying the Choquet‘s representation Theorem, the introduced concept is stated in terms of g -entropy.

How to cite

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Rahimi, Mehdi. "A local approach to $g$-entropy." Kybernetika 51.2 (2015): 231-245. <http://eudml.org/doc/270109>.

@article{Rahimi2015,
abstract = {In this paper, a local approach to the concept of $g$-entropy is presented. Applying the Choquet‘s representation Theorem, the introduced concept is stated in terms of $g$-entropy.},
author = {Rahimi, Mehdi},
journal = {Kybernetika},
keywords = {fuzzy entropy; $g$-entropy; local entropy; fuzzy entropy; -entropy; local entropy},
language = {eng},
number = {2},
pages = {231-245},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A local approach to $g$-entropy},
url = {http://eudml.org/doc/270109},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Rahimi, Mehdi
TI - A local approach to $g$-entropy
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 2
SP - 231
EP - 245
AB - In this paper, a local approach to the concept of $g$-entropy is presented. Applying the Choquet‘s representation Theorem, the introduced concept is stated in terms of $g$-entropy.
LA - eng
KW - fuzzy entropy; $g$-entropy; local entropy; fuzzy entropy; -entropy; local entropy
UR - http://eudml.org/doc/270109
ER -

References

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  1. Brin, M., Katok, A., 10.1007/bfb0061408, Springer-Verlag, New York 1983 (Lecture Notes in Mathematics 1007) (1983), pp. 30-38. MR0730261DOI10.1007/bfb0061408
  2. Butnariu, D., Klement, E. P., 10.1016/0022-247x(91)90181-x, J. Math. Anal. Appl. 162 (1991), 111-143. Zbl0751.60003MR1135265DOI10.1016/0022-247x(91)90181-x
  3. Dumitrescu, D., Measure-preserving transformation and the entropy of a fuzzy partition., In: 13th Linz Seminar on Fuzzy Set Theory, Linz 1991, pp. 25-27. 
  4. Dumitrescu, D., 10.1006/jmaa.1993.1220, J. Math. Anal. Appl. 176 (1993), 359-373. Zbl0782.28012MR1224152DOI10.1006/jmaa.1993.1220
  5. Dumitrescu, D., 10.1016/0165-0114(93)90129-6, Fuzzy Sets and Systems 55 (1993), 169-177. Zbl0818.28008MR1215137DOI10.1016/0165-0114(93)90129-6
  6. Dumitrescu, D., 10.1016/0165-0114(94)00245-3, Fuzzy Sets and Systems 70 (1995), 45-57. Zbl0876.28029MR1323286DOI10.1016/0165-0114(94)00245-3
  7. Markechová, D., The entropy on F-quantum spaces., Math. Slovaca 40 (1990), 177-190. Zbl0735.28011MR1094772
  8. Markechová, D., 10.1016/0165-0114(92)90350-d, Fuzzy Sets and Systems 48 (1992), 351-363. Zbl0754.60005MR1178175DOI10.1016/0165-0114(92)90350-d
  9. Markechová, D., Entropy of complete fuzzy partitions., Math. Slovaca 43 (1993), 1, 1-10. Zbl0772.94002MR1216263
  10. Markechová, D., 10.1016/0165-0114(94)90009-4, Fuzzy Sets and Systems 64 (1994), 87-90. Zbl0845.93054MR1281288DOI10.1016/0165-0114(94)90009-4
  11. McMillan, B., 10.1214/aoms/1177729028, Ann. Math. Statist. 24 (1953), 196-219. Zbl0050.35501MR0055621DOI10.1214/aoms/1177729028
  12. Mesiar, R., Rybárik, J., 10.1016/s0165-0114(97)00024-9, Fuzzy Sets and Systems 99 (1998), 73-79. Zbl0977.28015MR1643178DOI10.1016/s0165-0114(97)00024-9
  13. Rahimi, M., Riazi, A., Entropy operator for continuous dynamical systems of finite topological entropy., Bull. Iranian Math. Soc. 38 (2012), 4, 883-892. MR3028690
  14. Rahimi, M., Riazi, A., 10.1016/j.fss.2013.02.006, Fuzzy Sets and Systems 234 (2014), 97-108. MR3128474DOI10.1016/j.fss.2013.02.006
  15. Riečan, B., On a type of entropy of dynamical systems., Tatra Mountains Math. Publ. 1 (1992), 135-140. Zbl0794.58024MR1230471
  16. Riečan, B., 10.1016/j.physa.2007.06.047, Kybernetika 38 (2002), 4, 493-500. Zbl1265.94035MR1937143DOI10.1016/j.physa.2007.06.047
  17. Riečan, B., Markechová, D., 10.1016/s0165-0114(96)00266-7, Fuzzy Sets and Systems 96 (1998), 191-199. Zbl0926.94012MR1614814DOI10.1016/s0165-0114(96)00266-7
  18. Riečan, B., Neubrunn, T., 10.1007/978-94-015-8919-2, Kluwer, Dordrecht and Ister, Bratislava 1997. Zbl0916.28001MR1489521DOI10.1007/978-94-015-8919-2
  19. Rybárik, J., The entropy of the Q-F-dynamical systems., Busefal 48 (1991), 24-26. 
  20. Rybárik, J., The entropy based on pseudoarithmetical operations., Tatra Mountains Math. Publ. 6 (1995), 157-164. MR1363994
  21. Pesin, Ya., 10.1070/rm1977v032n04abeh001639, Russian Math. Surveys 32 (1977), 54-114. Zbl0383.58011MR0466791DOI10.1070/rm1977v032n04abeh001639
  22. Phelps, R., Lectures on Choquet's Theorem., Van Nostrand, Princeton, N.J. 1966. Zbl0997.46005MR0193470
  23. Ruelle, D., 10.1007/bf02584795, Bol. Soc. Bras. de Mat. 9 (1978), 83-87. MR0516310DOI10.1007/bf02584795
  24. Walters, P., An Introduction to Ergodic Theory., Springer-Verlag, 1982. Zbl0958.28011MR0648108

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