Utility and Fuzziness Aspects of the Information Measures in Experimental Observations and Computations

The existing fuzzy information system associated with the probabilities of a number of events, does not take into account the effectiveness or importance or utility of these events. In the present communication, we propose a new mathematical model for 'useful' fuzzy information system which involves fuzzy information, randomness and utility distribution. The model has been designed in order to study information in a random experiment. Based on the model, a family of fuzzy directed divergence measures has also been introduced and discussed. The parametric information improvement measure in view of fuzziness and utility has been obtained. The monotonic nature of the information measures has been studied with the help of numerical examples with certain number of experimental observations.