Fuzzy volumes, principles and application to manipulating robots

The 3D simulation of objects in an evolutionist environment is hard to implement, when we consider the amount of parameters and the high cost of computer resources. These facts brought us to introduce the notion of associated fuzzy volumes. This concept is based on the fuzzy geometry principles, which can be used in production with robot assistance. The technique is to associate to a set of complex objects and their environment, some fuzzy volumes constitute a peaks network (points positioned in 3D), each of these points is situated around an object or on its surface in order to approach a target object. With the algorithm developed in this paper, which is based on a genetic algorithm, it is possible to detect interference during the simulation time. The industrial manipulators are used as applications of this technology.