Skip to main content
SpringerLink
Log in

Information Theory — The State of the Art

  • Chapter
Relative Information

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 47))

Abstract

In order to suitably define the exact role of the present monograph in the relevant literature, it is necessary to review the current state of the art of information theory; this is the purpose of the present chapter.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hartley, R. V.: Bell Syst. Techn. J. 7, 535 (1928)

    Google Scholar 

  2. Shannon, C. E.: Bell Syst. Techn. J. 27, 379 (1948)

    MathSciNet  MATH  Google Scholar 

  3. Weaver, W., Shannon, C. E.: The Mathematical Theory of Communication ( Univ. of Illinois Press, Urbana 1949 )

    MATH  Google Scholar 

  4. McMillan, B.: Ann. Math. Stat. 24, 196 (1953)

    Article  MathSciNet  MATH  Google Scholar 

  5. Feinstein, A.: Foundations of Information Theory ( McGraw-Hill, New York 1958 )

    MATH  Google Scholar 

  6. Khintchin, A.: Uspekhi Matern. NAUKA 11, 17 (1956)

    Google Scholar 

  7. Renyi, A.: Magyar Tud. Akad. Mat. Fiz. Oszt. Kozl. 10, 251 (1960)

    MathSciNet  MATH  Google Scholar 

  8. Campbell, L. L.: Inform, and Control 8, 423 (1965)

    Article  MATH  Google Scholar 

  9. Jumarie, G.: Annales des Télécommunications 34, 521 (1979)

    MATH  Google Scholar 

  10. Kullback, S.: Information Theory and Statistics ( Wiley, New York 1959 )

    MATH  Google Scholar 

  11. Renyi, A.: Probability Theory ( North-Holland, Amsterdam 1970 )

    Google Scholar 

  12. Aczel, J., Daroczi, Z.: On Measures of Information and Their Characterizations ( Academic, New York 1975 )

    MATH  Google Scholar 

  13. Daroczi, Z.: Inform, and Control 16, 36 (1970)

    Article  Google Scholar 

  14. Cover, T. M., Hart, P. E.: IEEE Trans. Inform. Theory IT 13, 21 (1967)

    Article  MATH  Google Scholar 

  15. Vajda, I.: Information Transmission Problems 4, 9 (1968)

    MathSciNet  Google Scholar 

  16. Ito, T.: “Approximate Error Bounds in Pattern Recognition” in Machine Intelligence ( Edinburgh Univ. Press 1972 ) 7, 369–376

    Google Scholar 

  17. Devijver, P. A.: IEEE Trans. Comput. C 23, 70 (1973)

    Article  MathSciNet  Google Scholar 

  18. Boekee, D. E., Van der Lübbe, A. J. G: Inform, and Control 45, 136 (1980)

    Article  MATH  Google Scholar 

  19. Jumarie, G.: Intern. J. Syst. Sc. 6, 249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  20. Aczel, J, Daroczy, A.: RAIRO Theoretical Comput. Sc. 12, 149 (1978)

    MathSciNet  MATH  Google Scholar 

  21. Hatori, H.: Kodai Math. Sem. Rep. 10, 172 (1958)

    Article  MathSciNet  MATH  Google Scholar 

  22. Ashby, W. R.: Cybernetica 8, 5 (1965)

    MATH  Google Scholar 

  23. Kampé de Fériet, J., Forté B.: Comptes Rendus Academie des Sciences de Paris, 265A, 110; 142; 350 (1967)

    Google Scholar 

  24. Haken, H.: “Towards a Dynamic Information Theory” in Thermodynamics and Regulation of Biological Processes, ed. by Lamprecht, I. and Zotin, A. I. ( Walter de Gruyter, Berlin 1984 ) pp. 93–104

    Google Scholar 

  25. Zadeh, L. A.: Fuzzy Sets and Systems 1, 3 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  26. Sugeno, M.: “Fuzzy Measures and Fuzzy Integrals: a Survey”, in Fuzzy Automata and Decision Processes, ed. by Gupta M. M. ( North-Holland, Amsterdam 1977 ) pp. 89–102

    Google Scholar 

  27. Higashi, M., Klir, G. J.: Intern. J. General Syst. 9, 43 (1982)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Québec at Montréal, St. A, P.O. Box 8888, H3C 3P8, Montréal, Québec, Canada

    Professor Guy Jumarie

Authors
  1. Professor Guy Jumarie
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Jumarie, G. (1990). Information Theory — The State of the Art. In: Relative Information. Springer Series in Synergetics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84017-3_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84017-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84019-7

  • Online ISBN: 978-3-642-84017-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation