On weighted entropy of type ( α , β ) and its generalizations

Gur Dial; Inder Jeet Taneja

Aplikace matematiky (1981)

  • Volume: 26, Issue: 6, page 418-425
  • ISSN: 0862-7940

Abstract

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Belis and Guiasu studied a generalization of Shannon entropy as weighted or useful entropy. In this paper, the weighted entropy of type ( α , β ) is defined and characterized and some if its properties are studied. Further generalizations involving more parameters of weighted entropy are also specified.

How to cite

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Dial, Gur, and Taneja, Inder Jeet. "On weighted entropy of type $(\alpha ,\beta )$ and its generalizations." Aplikace matematiky 26.6 (1981): 418-425. <http://eudml.org/doc/15212>.

@article{Dial1981,
abstract = {Belis and Guiasu studied a generalization of Shannon entropy as weighted or useful entropy. In this paper, the weighted entropy of type $(\alpha , \beta )$ is defined and characterized and some if its properties are studied. Further generalizations involving more parameters of weighted entropy are also specified.},
author = {Dial, Gur, Taneja, Inder Jeet},
journal = {Aplikace matematiky},
keywords = {utilities; entropies with branching property; entropies with sum property; utilities; entropies with branching property; entropies with sum property},
language = {eng},
number = {6},
pages = {418-425},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On weighted entropy of type $(\alpha ,\beta )$ and its generalizations},
url = {http://eudml.org/doc/15212},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Dial, Gur
AU - Taneja, Inder Jeet
TI - On weighted entropy of type $(\alpha ,\beta )$ and its generalizations
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 6
SP - 418
EP - 425
AB - Belis and Guiasu studied a generalization of Shannon entropy as weighted or useful entropy. In this paper, the weighted entropy of type $(\alpha , \beta )$ is defined and characterized and some if its properties are studied. Further generalizations involving more parameters of weighted entropy are also specified.
LA - eng
KW - utilities; entropies with branching property; entropies with sum property; utilities; entropies with branching property; entropies with sum property
UR - http://eudml.org/doc/15212
ER -

References

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  1. M. Belis S. Guiasu, A quantitative-qualitative measure of information in cybernetics, IEEE Trans. Infor. Theory, H-14 (1968) 593-594. (1968) 
  2. B. D. Sharma H. C. Gupta, 10.1007/BF01902860, - Metrika 23 (1976), 155-165. (1976) Zbl0332.94007MR0437211DOI10.1007/BF01902860
  3. B. D. Sharma I. J. Taneja, Three Generalized Additive Measures of Entropy, - Elektro. Inform. Kyber., 13 (1977), 7/8, 419-433. (1977) Zbl0372.94021MR0530208
  4. I. J. Taneja, On Axiomatic Characterization of Entropy of Type ( α , β ), Apl. mat. 22 (1977), 409-417. (1977) Zbl0385.28013MR0469524

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