This is a revision of the author’s paper ”On asymptotic stability in energy space of ground states of NLS in 1D” [C3]. We correct an error in Lemma 5.4 [C3] and we simplify the smoothing argument. §

A critical component of both economic and perceptual decision-making under uncertainty is the belief formation process. However, most research has studied belief formation in economic and perceptual decision-making in isolation. One reason for this separate treatment may be the assumption that there are distinct psychological mechanisms that underlie belief formation in economic and perceptual ...

The belief decision tree (BDT) approach is a decision tree in an uncertain environment where the uncertainty is represented through the Transferable Belief Model (TBM), one interpretation of the belief function theory. The uncertainty can appear either in the actual class of training objects or attribute values of objects to classify. From the procedures of building BDT, we mention the averagin...

Providing explanations of the conclusions of decision-support systems can be viewed as presenting inference results in a manner that enhances the user's insight into how these results were obtained. The ability to explain inferences has been demonstrated to be an important factor in making medical decision-support systems acceptable for clinical use. Although many researchers in artificial inte...

While the theory of belief change has attracted a lot of interest from researchers, work on implementing belief change and actually putting it to use in real-world problems is still scarce. In this paper, we present an implementation of propositional belief change using Binary Decision Diagrams. Upper complexity bounds for the algorithm are presented and discussed. The approach is presented bot...

There are important theoretical and practical reasons to study belief structures. Similar to qualitative probability, qualitative belief can also be described in terms of a preference relation. One of the objectives in this study is to specify the precise conditions that a preference relation must satisfy such that it can be faithfully represented by a belief function. Two special classes of pr...