Conditional entropy and Rokhlin metric

Pramila Srivastava; Mona Khare

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 4, page 433-441
  • ISSN: 0232-0525

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Srivastava, Pramila, and Khare, Mona. "Conditional entropy and Rokhlin metric." Mathematica Slovaca 49.4 (1999): 433-441. <http://eudml.org/doc/32383>.

@article{Srivastava1999,
author = {Srivastava, Pramila, Khare, Mona},
journal = {Mathematica Slovaca},
keywords = {equivalence; fuzzy probability space; metric; conditional entropy; atom; pseudometric; fuzzy sub--algebras; Rokhlin metric},
language = {eng},
number = {4},
pages = {433-441},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Conditional entropy and Rokhlin metric},
url = {http://eudml.org/doc/32383},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Srivastava, Pramila
AU - Khare, Mona
TI - Conditional entropy and Rokhlin metric
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 4
SP - 433
EP - 441
LA - eng
KW - equivalence; fuzzy probability space; metric; conditional entropy; atom; pseudometric; fuzzy sub--algebras; Rokhlin metric
UR - http://eudml.org/doc/32383
ER -

References

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  1. BUTNARIU D., Additive fuzzy measures and integrals, J. Math. Anal. Appl. 93 (1983), 436-452. (1983) Zbl0516.28006MR0700157
  2. DUMITRESCU D., Entropy of a fuzzy process, Fuzzy Sets and Systems 55 (1993), 169-177. (1993) Zbl0818.28008MR1215137
  3. DVUREČENSKIJ A.-RIECAN B., Fuzzy quantum models, Internat. J. Gen. Systems 20 (1991), 39-54. (1991) Zbl0746.60004MR1089012
  4. KATOK A.-HASSELBLATT B., Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, Cambridge, 1995. (1995) Zbl0878.58020MR1326374
  5. KHARE M., Fuzzy σ-algebras and conditional entropy, Fuzzy Sets and Systems 102 (1999), 287-292. (1999) MR1674971
  6. KLEMENT E. P., Fuzzy σ-algebras and fuzzy measurable functions, Fuzzy Sets and Systems 4 (1980), 83-93. (1980) MR0580836
  7. 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. (1986) MR0931138
  8. MARKECHOVÁ D., The entropy of fuzzy dynamical systems and generators, Fuzzy Sets and Systems 48 (1992), 351-363. (1992) Zbl0754.60005MR1178175
  9. MARKECHOVÁ D., Entropy of complete fuzzy partitions, Math. Slovaca 43 (1993), 1-10. (1993) Zbl0772.94002MR1216263
  10. MESIAR R., The Bayes principle and the entropy on fuzzy probability spaces, Internat. J. Gen. Systems 20 (1991), 67-72. (1991) Zbl0737.60004
  11. PIASECKI K., Probability of fuzzy events defined as denumerable additive measure, Fuzzy Sets and Systems 17 (1985), 271-284. (1985) MR0819364
  12. RIECAN B.-NEUBRUNN T., Integral, Measure and Ordering, Kluwer Acad. Publ.; Ister Press, Dordrecht; Bratislava, 1997. (1997) Zbl0916.28001MR1489521
  13. RIEČAN B., Indefinite integrals in F-quantum spaces, Busefal 38 (1989), 5-7. (1989) 
  14. RIEČAN B.-DVUREČENSKIJ A., On randomness and fuzziness, In: Progress in Fuzzy Sets in Europe, 1986, Polska Akademia Nauk, Warszawa, 1988, pp. 321-326. (1986) 
  15. ROKHLIN V. A., Lectures on the entropy theory of measure preserving transformations, Russian Math. Surveys 22 (1967), 1-52. (1967) Zbl0174.45501
  16. SCHWEITZER B.-SKLAR A., Statistical metric spaces, Pacific J. Math. 10 (I960), 313-334. MR0115153
  17. 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
  18. SRIVASTAVA P.-KHARE M.-SRIVASTAVA Y. K., m-equivalence, entropy and F-dynamical systems, Fuzzy Sets and Systems (To appear). Zbl0982.37006MR1834512
  19. SRIVASTAVA Y. K., Fuzzy Probability Measures and Dynamical Systems, D. Phil. Thesis, Allahabad University, 1993. (1993) 

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