Geodesic
On weighted entropy of type $(\alpha ,\beta )$ and its generalizations
Applications of Mathematics, Tome 26 (1981) no. 6, pp. 418-425
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1981.103931
Classification : 94A17
Keywords: utilities; entropies with branching property; entropies with sum property 
@article{10_21136_AM_1981_103931,
     author = {Dial, Gur and Taneja, Inder Jeet},
     title = {On weighted entropy of type $(\alpha ,\beta )$ and its generalizations},
     journal = {Applications of Mathematics},
     pages = {418--425},
     year = {1981},
     volume = {26},
     number = {6},
     doi = {10.21136/AM.1981.103931},
     mrnumber = {0634278},
     zbl = {0479.94010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103931/}
}
TY  - JOUR
AU  - Dial, Gur
AU  - Taneja, Inder Jeet
TI  - On weighted entropy of type $(\alpha ,\beta )$ and its generalizations
JO  - Applications of Mathematics
PY  - 1981
SP  - 418
EP  - 425
VL  - 26
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103931/
DO  - 10.21136/AM.1981.103931
LA  - en
ID  - 10_21136_AM_1981_103931
ER  - 
%0 Journal Article
%A Dial, Gur
%A Taneja, Inder Jeet
%T On weighted entropy of type $(\alpha ,\beta )$ and its generalizations
%J Applications of Mathematics
%D 1981
%P 418-425
%V 26
%N 6
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103931/
%R 10.21136/AM.1981.103931
%G en
%F 10_21136_AM_1981_103931
Dial, Gur; Taneja, Inder Jeet. On weighted entropy of type $(\alpha ,\beta )$ and its generalizations. Applications of Mathematics, Tome 26 (1981) no. 6, pp. 418-425. doi: 10.21136/AM.1981.103931

[1] M. Belis S. Guiasu: A quantitative-qualitative measure of information in cybernetics. IEEE Trans. Infor. Theory, H-14 (1968) 593-594.

[2] B. D. Sharma H. C. Gupta: Sub Additive measures of Relative Information and Inaccuracy. - Metrika 23 (1976), 155-165. | DOI | MR

[3] B. D. Sharma I. J. Taneja: Three Generalized Additive Measures of Entropy. - Elektro. Inform. Kyber., 13 (1977), 7/8, 419-433. | MR

[4] I. J. Taneja: On Axiomatic Characterization of Entropy of Type ($\alpha$, $\beta$). Apl. mat. 22 (1977), 409-417. | MR | Zbl

Cité par Sources :