A Markov Mesh Modelling on Uncertain Galois Lattice: Classification in Terminology

Because the need to classify objects with respect to uncertain properties is increasing, it becomes important to seek an appropriate generalization of a Galois lattice structure. We aim to analyze an uncertain (probabilistic) Galois lattice structure. One of our interests consists to determine a complete (total) order within the objects set generated by the uncertain Galois lattice structure. Afterwards, we classify the objects according to the generation power criterion. This classification is set up using a Markov Mesh (MM) model when considering the uncertain Galois lattice as a neighborhood system. As an application,we hierarchically classify textual fragments according to their lexical properties. This operation produces a set of structured contexts (or fragments) that enables us to weight and find out the presence of different contexts of use assigned to each term. This set of contexts may aid the terminologist to capture the meaning of the terms studied.