On measures of "useful" information

Bhu Dev Sharma, Jagdish Mitter, Man Mohan
1978 Information and Control  
The quantitative-qualitative measure of information as given by Bells and Guiasu is additive, the additivity being a modification of the additivity of Shannon's measure with due place for utilities of the scheme in this property. A characterization of Bells and Guia~u's measure depending upon the additivity postulate has been provided. The additivity can be relaxed, and there can be several ways of choosing a nonadditive law in place of additivity. Starting from a particular type of
more » ... y relation we characterize a measure of nonadditive "useful" information, which may be considered as a quantitative-qualitative measure corresponding to the ttavrda-Charvat-Vajda-Dardczy entropy of degree/3.
doi:10.1016/s0019-9958(78)90671-x fatcat:6zgkr5tzabd4dbil73hbrwtbzm