abstract = "a hybrid system method to predict the volume of the
robot-laser-hardened specimens when one of the
parameters in the existing model cannot be measured or
calculated the intelligent-system is presented. Also,
we have a model of the intelligent system to predict
the volume of hardened specimens developed by someone,
but we can not calculate one parameter in it. Thus, we
develop a new method of the hybrid intelligent system
to solve this problem. We develop a hybrid of genetic
programming and multiple regression. To predict the
volume of hardened specimens, we use teh neural
network, genetic algorithm and multiple regression. The
genetic programming modelling results show a good
agreement with the measured volume of hardened
specimens. We analyse the SEM picture of the
microstructure of robot-laser-hardened specimens with a
mathematical method. In this open problem we use the
graph theory and fractal geometry. Fractal dimensions
are calculated using image processing of a SEM
micrographs in combination with a box-counting
algorithm using ImageJ software.",