Note—Disutility as a Probability: An Interpretation of Weighted Informational Measures
证明,通过将效用或负效用解释为概率,可以将Belis和Guiasu等人提出的效用加权信息测度用经典(未加权)信息论表述,并讨论了聚合性质及对先验和后验概率的扩展。
It is shown that the proposal for a utility-weighted informational measure discussed by Belis, and Guiasu (Belis, M., S. Guiasu. 1968. A quantitative-qualitative measure of information in cybernetic systems. IEEE Trans. Information Theory 14 593–594.) and others can be formulated in terms of classical (unweighted) information theory by interpreting utilities or disutilities as probabilities. Aggregation properties and extensions to prior and posterior probabilities are also discussed.