Towards a Competitiveness in the Economic Activity in Colombia: Using Moore's Families and Galois Lattices in Clustering

The main aim of this paper is to find affinities between each Colombian region through economic activities analysis focusing on crucial role of location to be further competitiveness. The mathematical models of Moore families’ and Galois lattices are used to identify a kind of industry in a region and its economic activity affinities. The results obtained from the calculation, we are shown 6 lattices formed with a great deal of affinity groupings within each of them. These groups have allowed us analysing economic activity-region by each region and identifying what kind of industry is developed within them. Finally, it is highlighted that these mathematical models give a prospective view of regional and national economic activity from general level to specific level, which can be used as tool for analyzing environments, policymaking and encouraging business development. Likewise, these models can offer a new manner to analyse socioeconomic changes with a great deal with uncertainty.