Possibility Equivalence of Unimodal Asymmetric Probability Distributions

− At the application level, it is important to be able to define around the measurement result an interval which will contain an important part of the distribution of the measured values, that is, a confidence interval. This practice acknowledged by the ISO Guide is a major shift from the probabilistic representation as a confidence interval represents a set of possible values for a parameter associated with a confidence level. It can be viewed as a probabilitypossibility transformations by viewing possibility distribution as encoding confidence intervals. In this paper, after having recalled probability/possibility links by the notion of confidence intervals, previous works concerning transformation of symmetric probability distribution into possibility distributions are extended to asymmetric probability distributions.