摘要：In order to integrate the quantitative, objective and probabilistic concept of information with the qualitative, subjective and non – stochastic concept of utility, researchers over the past years have proposed several weighted information measures. These measures find applications in fields dealing with random events where it is necessary to take into account both the probabilities with which these events occur and some qualitative characteristic of these events. However it seems to the author that very little effort has been devoted by researchers in obtaining bounds on these weighted information Measures. In the present work, we have obtained bounds on these weighted information measures using the Lagrange’s multiplier method and some well known inequalities. Without essential loss of insight we have restricted ourselves to discrete probability distributions.
关键词：Weighted entropy; utility distribution; Arithmetic; Geometric &;Harmonic mean inequality.
