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On information measure of type (\(\alpha\),\(\beta)\) with preference. (English) Zbl 0531.94007

Summary: A two-parametric weighted additivity has been proposed. This under sum representation gives rise to a new functional equation. In terms of the solution of the functional equation, we characterize an information measure of type (\(\alpha\),\(\beta)\) with preference. Some applications to information theory have been discussed.

MSC:

94A17 Measures of information, entropy
39B99 Functional equations and inequalities