A Fuzzy Clustering Algorithm Based on the Analogy with Mechanical Physics: MeccFuz

This paper presents a new algorithm of fuzzy clustering, based on analogy withmechanics physics. The vectors x_i are compared with `material points' and the clusters can be looked on as material points clouds, that are characterized byspecific units. The choice is based on a study of potential energy. Once a specificunit is chosen, we calculated the membership of the other units whit respect it.A study of a sociology test is performed and the results are very encouraging,though an further deepening is needed like a thermodynamics analogy application.