In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some properties of intervalvalued overlap functions and the derived interval-valued OWA operators are analysed. We specially focus on the homogeneity and migrativity pr...

We present a flexible analysis/synthesis tool for transient signals that extends current sinusoidal and sines+noise models for audio to sines+transients+noise. The explicit handling of transients provides a more realistic and robust signal model. Because the transient model presented is the frequency domain dual to sinusoidal modeling, it has similar flexibility and allows for a wide range of t...

We present improvements to our incremental proposition-based summariser, which is inspired by Kintsch and van Dijk’s (1978) text comprehension model. Argument overlap is a central concept in this summariser. Our new model replaces the old overlap method based on distributional similarity with one based on lexical chains. We evaluate on a new corpus of 124 summaries of educational texts, and sho...

We construct a sequence of convex polyhedra on n vertices with the property that, as n→∞, the fraction of its edge unfoldings that avoid overlap approaches 0, and so the fraction that overlap approaches 1. Nevertheless, each does have (several) nonoverlapping edge unfoldings.