We are interested in understanding the relationship between Bayesian inference and evidence theory, in particular imprecise and paradoxical reasoning. The concept of a set of probability distributions is central both in robust Bayesian analysis and in some versions of Dempster-Shafer theory. Most of the literature regards these two theories as incomparable. We interpret imprecise probabilities ...

In real-time systems, a computation may not have time to complete its execution because of deadline requirements. In such cases. no result except the approximate results produced by the computation up to that point will be available. It is desirable to utilize these imprecise results if possible. We propose two approaches to enable computations to return imprecise results when executions cannot...

In this paper, we deal with fuzzy random variables for inputs andoutputs in Data Envelopment Analysis (DEA). These variables are considered as fuzzyrandom flat LR numbers with known distribution. The problem is to find a method forconverting the imprecise chance-constrained DEA model into a crisp one. This can bedone by first, defuzzification of imprecise probability by constructing a suitablem...

Current approaches for answering queries with imprecise constraints require users to provide distance metrics and importance measures for attributes of interest metrics that are hard to elicit from lay users. Moreover they assume the ability to modify the architecture of the underlying database. Given that most Web databases are autonomous and may have users with limited expertise over the asso...

Gert de Cooman’s work is an important contribution to a better understanding of how to deal with imprecise probabilities. But there is an important issue which is not addressed. How can imprecise probabilites be dealt with not in isolation but in the broader context of imprecise probability distributions, imprecise events and imprecise relations? What is needed for this purpose is the concept o...

Imprecision arises naturally in the context of computer models and their relation to reality. An imprecise treatment of general computer models is presented, illustrated with an analysis of a complex galaxy formation simulation known as Galform. The analysis involves several different types of uncertainty, one of which (the Model Discrepancy) comes directly from expert elicitation regarding the...

Given the ambiguity and imprecision of the "concept" in the Internet, which may be described with both textual and image information, the use of Fuzzy Conceptual Matching (FCM) is a necessity for search engines. In the FCM approach, the "concept" is defined by a series of keywords with different weights depending on the importance of each keyword. Ambiguity in concepts can be defined by a set o...

There has been a recent surge of research on the topic of poor-pitch singing. However, this research has not addressed an important distinction in measurement: that between accuracy and precision. With respect to singing, accuracy refers to the average difference between sung and target pitches. Precision, by contrast, refers to the consistency of repeated attempts to produce a pitch. A group o...

This paper addresses the issue of qualitative reasoning in imprecise spatial domains. In particular, the uncertainty in the nature of the spatial relationships between objects in space is represented by a set of possibilities. The approach to spatial reasoning proposed here is carried out in three steps. First, a transformation is carried out on the disjunctive set of possible relationships to ...