Description of data quality relies heavily on numbers. When dealing with data sets, which have been collected during longer periods, however, variation in the data quality will become evident. Older data may have different quality than newer data and other aspects including height or accessibility may influence the quality of parts of the data set. Precise numbers do not reflect this variation,...

Using the moment sequence of a continuous probability function to regenerate the full distribution is a mathematical problem that has been investigated for many years. One method is to use a flexible distribution to approximate the densities by matching the moments of the two distributions. The results are of great interest, as they can be readily applied to response time analysis in concurrent...

We formulate necessary and sufficient conditions for an arbitrary discrete probability distribution to fac­ tor according to an undirected graphical model, or a log-linear model, or other more general exponen­ tial models. This result generalizes the well known Hammersley-Clifford Theorem.

Article Outline Glossary I. Definition of the subject and its importance I

This paper summarizes recent work on the theory of epsilon entropy for probability distributions on complete separable metric spaces. The theory was conceived [3] in order to have a framework for discussing the quality of data storage and transmission systems. The concept of data source was defined in [4] as a probabilistic metric space: a complete separable metric space together with a probabi...

In the study, we propose the Associated Probability Intuitionistic Fuzzy Weighted Averaging (As-P-IFWA) and the Associated Probability Intuitionistic Fuzzy Weighted Geometric (As-P-IFWG) aggregation operators with associated probabilities of a fuzzy measure presenting an uncertainty. Decision makers' evaluations are given as intuitionistic fuzzy values and are used as the arguments of the aggre...

One of the most controversial issues in uncertainty modelling and information sciences is the relationship between probability theory and fuzzy sets. This paper is meant to survey the literature pertaining to this debate, and to try to overcome misunderstandings and to supply access to many basic references that have addressed the "probability versus fuzzy set" challenge. This problem has not a...