In a recent paper, De Baets et al. have characterized the fuzzytolerance and fuzzy equivalence relations that a given strict order relation iscompatible with. In this paper, we generalize this characterization by consideringan arbitrary (crisp) relation instead of a strict order relation, while payingattention to the particular cases of a reflexive or irreflexive relation. The reasoninglargely ...

One of the most applied techniques in autonomous robotics for navigation is Simultaneous Localization and Mapping (SLAM). SLAM iteratively builds a map of the environment by putting each new observation in relation with the current map. This relation is usually done by scan matching algorithms such as Iterative Closest Point (ICP) where two sets of features are paired. However as ICP is sensiti...

The interior of a cell is very crowded (up to 35% protein by weight), with significant consequences for diffusive transport. The possible trajectories of a given tracer particle are constrained by the labyrinth of obstacles. For a static obstacle configuration, a percolation transition takes place at a certain critical obstacle density, so that above this density no long-range transport is poss...