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We propose a novel Bayesian Ordinal Regression approach for multiple criteria choice and ranking problems. It employs an additive value function model to represent indirect Decision Maker’s (DM’s) preferences in the form of pairwise comparisons of reference alternatives. By defining a likelihood for the provided preference information and specifying a prior of the preference model, we apply the Bayesian rule to derive a posterior distribution over a set of all potential value functions, not necessarily compatible ones. This distribution emphasizes the potential differences in the abilities of these models to reconstruct the DM’s pairwise comparisons. Hence a distinctive character of our approach consists of characterizing the uncertainty in consequence of applying indirect preference information. We also employ a Markov Chain Monte Carlo algorithm, called the Metropolis-Hastings method, to summarize the posterior …