| Title:
|
On weighted entropy of type $(\alpha ,\beta )$ and its generalizations (English) |
| Author:
|
Dial, Gur |
| Author:
|
Taneja, Inder Jeet |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
6 |
| Year:
|
1981 |
| Pages:
|
418-425 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
utilities |
| Keyword:
|
entropies with branching property |
| Keyword:
|
entropies with sum property |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0479.94010 |
| idMR:
|
MR0634278 |
| DOI:
|
10.21136/AM.1981.103931 |
| . |
| Date available:
|
2008-05-20T18:17:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103931 |
| . |
| Reference:
|
[1] M. Belis S. Guiasu: A quantitative-qualitative measure of information in cybernetics.IEEE Trans. Infor. Theory, H-14 (1968) 593-594. |
| Reference:
|
[2] B. D. Sharma H. C. Gupta: Sub Additive measures of Relative Information and Inaccuracy.- Metrika 23 (1976), 155-165. MR 0437211, 10.1007/BF01902860 |
| Reference:
|
[3] B. D. Sharma I. J. Taneja: Three Generalized Additive Measures of Entropy.- Elektro. Inform. Kyber., 13 (1977), 7/8, 419-433. MR 0530208 |
| Reference:
|
[4] I. J. Taneja: On Axiomatic Characterization of Entropy of Type ($\alpha$, $\beta$).Apl. mat. 22 (1977), 409-417. Zbl 0385.28013, MR 0469524 |
| . |
