Measures of information : the general axiomatic theory

Bruno Forte

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1969)

  • Volume: 3, Issue: R2, page 63-89
  • ISSN: 0764-583X

How to cite

top

Forte, Bruno. "Measures of information : the general axiomatic theory." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 3.R2 (1969): 63-89. <http://eudml.org/doc/193124>.

@article{Forte1969,
author = {Forte, Bruno},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {information, communication},
language = {eng},
number = {R2},
pages = {63-89},
publisher = {Dunod},
title = {Measures of information : the general axiomatic theory},
url = {http://eudml.org/doc/193124},
volume = {3},
year = {1969},
}

TY - JOUR
AU - Forte, Bruno
TI - Measures of information : the general axiomatic theory
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1969
PB - Dunod
VL - 3
IS - R2
SP - 63
EP - 89
LA - eng
KW - information, communication
UR - http://eudml.org/doc/193124
ER -

References

top
  1. [1] J. KAMPÉ de FÉRIET et B. FORTE, Information et probabilité, C. R. Acad. Sci., Paris, 265 (1967), 110-114. Zbl0201.53002MR220541
  2. [2] J. KAMPÉ de FÉRIET et B. FORTE, Information et probabilité, C. R. Acad Sci., Paris, 265 (1967), 142-146. Zbl0201.53003MR220542
  3. [3] J. KAMPÉ de FÉRIET et B. FORTE, Information et probabilité, C. R. Acad Sci., Paris, 265 (1967), 350-353. Zbl0157.25902MR225598
  4. [4] B. FORTE, On the amount of information given by an experiment, Colloquium on Information Theory, Debrecen (1967), in printing. Zbl0187.17001MR247932
  5. [5] B. FORTE et N. PINTACUDA, Sull'informazione associata alle esperienze incomplete, Ann. Mat. Pura e App., in printing. For a summary of this paper see : Information fournie par une expérience, C. R. Acad. Sci., Paris, 266 (1968), 242-245. Zbl0153.48501MR231656
  6. [6] D. K. FADDEEV, Zum Begriff der Entropie eines endlichen Wahrscheinlichkeitsschemas, Arbeiten zur Informations theorie, Vol. I, VEB Deutscher Verlag der Wissensenschaften, Berlin (1957), 96-90. 
  7. [7] N. PINCTACUDA, « Shannon Entropy : a more general derivation», Statistica 26, 2 (1966), 509-524. MR209070
  8. [8] Z. DAROCZY, Über eine Charakterisierung der Shannonschen Entropie, Statistica 27, 1(1967), 509-205. Zbl0181.22306MR216898
  9. [9] J. L. RIGAL, N. AGGARWAL et J. C. CANONGE, Incertitude et fonction d'imprécision liée à un questionnaire sur un espace métrique, C. R. Acad. Sci., Paris, 263 (1966) 268-270. Zbl0173.17701MR207465
  10. [10] J. KEMPÉ de FÉRIET, Mesure de l' information fournie par un événement, C. R. Acad. Sci., Paris, in printing. 
  11. [11] C. BAIOCCHI, Su un sisteme di equazioni funzionali connesso alla teoria dell'informazione, Boll. U.M.I. 23, 2 (1967, 236-246. Zbl0152.14402MR219933
  12. [12] Z. DAROCZY, Über ein Funktionalgleichungssystem der Informations theorie, in printing. Zbl0174.20102
  13. [13] B. FORTE et P. BENVENUTI, Su una classe di misure regolari a traccia shannoniana, Atti del Sem, Mat. e Fis. Univ. di Modena, in printing. Zbl0188.24001
  14. [14] B. FORTE, On a system of functional equations in information theory, Aequationes Mathematicae, in printing. Zbl0211.17801
  15. [15] B. FORTE et Z. DAROCZY, Sopra un sistema di equazioni funzionali nella teoria dell'informazione, Ann. Univ. di Ferrara, in printing Zbl0175.45605
  16. [16] P. BENVENUTI, Sulle misure di informazione compositive a traccia compositiva non shannoniana, manuscript. 
  17. [17] M. SCHNEIDER, Information et mesure, application aux graphes, Sem. sur les questionnaires, Inst. Blaise-Pascal, Paris, 23 oct. 1968. 

Citations in EuDML Documents

top
  1. Bruno Forte, Carlo Sempi, Pruning and measures of uncertainty
  2. Luisa Arlotti, Sulle entropie idempotenti a traccia shannoniana
  3. J. Aczél, Z. Daróczy, A mixed theory of information. I : symmetric, recursive and measurable entropies of randomized systems of events
  4. Luisa Arlotti, Sull'equazione dell'associatività generalizzata
  5. Doretta Vivona, Maria Divari, A collector for information without probability in a fuzzy setting
  6. Milan Mareš, Information Measure for Vague Symbols

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.