In pedestrian navigation, navigators are free to choose any passable way. Because of this characteristic, accurate route instructions are important when navigating from waypoint to waypoint. In this paper, a theoretical framework is described for dealing with position uncertainty in pedestrian guiding systems. Stages of closeness are defined based on the topological relation between the navigat...

In this work we consider a very general principle for fuzzy rule interpolation methods based on an interpretation of the generalized modus ponens rule in terms of closeness relations. Then we present two particular instances of the general principle when the closeness relations are defined from parametric families of similarity fuzzy relations on the input and output spaces. The case of multipl...

In this paper, we present a novel index, called the Generalized Control Number (GCTN ), which evaluates the closeness of a given non-singular configuration of a hexapod with UCU-legs to the next singularity. The GCTN is invariant with respect to similarity transformations (choice of units) and under Euclidean motions of the reference frame (choice of fixed frame). Moreover, this index indicates...

In real world complex networks, the importance of a node depends on two important parameters: 1. characteristics of the node, and 2. the context of the given application. The current literature contains several centrality measures that have been defined to measure the importance of a node based on the given application requirements. These centrality measures assign a centrality value to each no...

How to identify the influential spreaders in social networks is crucial for accelerating/hindering information diffusion, increasing product exposure, controlling diseases and rumors, and so on. In this paper, by viewing the k-shell value of each node as its mass and the shortest path distance between two nodes as their distance, then inspired by the idea of the gravity formula, we propose a gr...

We consider the closeness testing problem for discrete distributions. The goal is to distinguish whether two samples are drawn from same unspecified distribution, or their respective distributions separated in L1-norm. In this paper, we focus on adapting rate shape of underlying distributions, i.e. a local minimax setting. provide, best our knowledge, first separation distance up logarithmic fa...