Geodesic
On weighted entropy of type $(\alpha ,\beta )$ and its generalizations
Applications of Mathematics, Tome 26 (1981) no. 6, pp. 418-425.

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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 $(\alpha, \beta)$ 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 
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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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1981.103931/

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