Sufficient families and entropy of inverse limit

Mona Khare

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 4, page 443-452
  • ISSN: 0139-9918

How to cite

top

Khare, Mona. "Sufficient families and entropy of inverse limit." Mathematica Slovaca 49.4 (1999): 443-452. <http://eudml.org/doc/32018>.

@article{Khare1999,
author = {Khare, Mona},
journal = {Mathematica Slovaca},
keywords = {-probability measure space; -dynamical system; atom; entropy; generator; inverse spectrum of -dynamical systems},
language = {eng},
number = {4},
pages = {443-452},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Sufficient families and entropy of inverse limit},
url = {http://eudml.org/doc/32018},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Khare, Mona
TI - Sufficient families and entropy of inverse limit
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 4
SP - 443
EP - 452
LA - eng
KW - -probability measure space; -dynamical system; atom; entropy; generator; inverse spectrum of -dynamical systems
UR - http://eudml.org/doc/32018
ER -

References

top
  1. BROWN J. R., Ergodic Theory and Topological Dynamics, Academic Press, Inc., London, 1976. (1976) Zbl0334.28011MR0492177
  2. BUTNARIU D., Additive fuzzy measures and integrals, J. Math. Anal. Appl. 93 (1983), 436-452. (1983) Zbl0516.28006MR0700157
  3. DUGUNDJI J., Topology, Prentice Hall of India Pvt. Ltd., New Delhi, 1975. (1975) 
  4. DUMITRESCU D., Fuzzy measures and the entropy of fuzzy partitions, J. Math. Anal. Appl. 176 (1993), 359-373. (1993) Zbl0782.28012MR1224152
  5. HALMOS P. R., Measure Theory, Van Nostrand Reinhold, Princeton, NJ, 1950. (1950) Zbl0040.16802MR0033869
  6. KATOK A.-HASSELBLATT B., Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, Cambridge, 1995. (1995) Zbl0878.58020MR1326374
  7. KHARE M., Fuzzy σ-algebras and conditional entropy, Fuzzy Sets and Systems 102 (1999), 287-292. (1999) MR1674971
  8. KLEMENT E. P., Fuzzy σ-algebras and fuzzy measurable functions, Fuzzy Sets and Systems 4 (1980), 83-93. (1980) MR0580836
  9. MALIČKÝ P.-RIECAN B., On the entropy of dynamical systems, In: Proc. Conf. Ergodic Theory and Related Topics II (Georgenthal 1986), Teubner, Leipzig, 1987, pp.135-138. (1986) MR0931138
  10. MARKECHOVÁ D., The entropy of fuzzy dynamical systems and generators, Fuzzy Sets and Systems 48 (1992), 351-363. (1992) Zbl0754.60005MR1178175
  11. MARKECHOVÁ D., Entropy of complete fuzzy partitions, Math. Slovaca 43 (1993), 1-10. (1993) Zbl0772.94002MR1216263
  12. MESIAR R., The Bayes principle and the entropy on fuzzy probability spaces, Internat. J. Gen. Systems 20 (1991), 67-72. (1991) Zbl0737.60004
  13. PIASECKI K., Probability of fuzzy events defined as denumerable additive measure, Fuzzy Sets and Systems 17 (1985), 271-284. (1985) MR0819364
  14. RIEČAN B., A new approach to some notions of statistical quantum mechanics, Busefal 35 (1988), 4-6. (1988) 
  15. RIEČAN B.-DVURECENSKIJ A., On randomness and fuzziness, In: Progress in Fuzzy Sets in Europe, 1986, Polska Akademia Nauk, Warszawa, 1988, pp. 321-326. (1986) 
  16. RIEČAN B.-NEUBRUNN T., Integral, Measure and Ordering, Kluwer Acad. Publ.; Ister Press, Dordrecht; Bratislava, 1997. (1997) Zbl0916.28001MR1489521
  17. SRIVASTAVA P.-KHARE M., Conditional entropy and Rokhlin metric, Math. Slovaca (1999), 433-441. (1999) Zbl0949.28015MR1719747
  18. SRIVASTAVA P.-KHARE M.-SRIVASTAVA Y.K., A fuzzy measure algebra as a metric space, Fuzzy Sets and Systems 79 (1996), 395-400. (1996) Zbl0872.28012MR1388411
  19. SRIVASTAVA P.-KHARE M.-SRIVASTAVA Y. K., m-equivalence, entropy and F-dynamical systems, Fuzzy Sets and Systems (To appear). Zbl0982.37006
  20. SRIVASTAVA P.-KHARE M.-SRIVASTAVA Y. K., Fuzzy dynamical systems - inverse and direct spectra, Fuzzy Sets and Systems (To appear). Zbl0974.37011MR1769845
  21. SRIVASTAVA Y. K., Fuzzy Probability Measures and Dynamical Systems, D. Phil. Thesis, Allahabad University, 1993. (1993) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.