Diretrizes para a seleção de hiperparâmetros na construção de objetos espaciais Fuzzy

Abstract

Spatial databases and Geographic Information Systems enable the integration and management of geographic data in applications. These systems store and manipulate crisp spatial data, that is, objects with clearly defined boundaries. Fuzzy set theory applied to spatial data, on the other hand, allows the creation and manipulation of objects in space whose internal or external boundaries are uncertain. These elements are formalized in Fuzzy Spatial Algebra (FUSA), which consists in a formal definition of spatial objects in fuzzy objects. Spatial Plateau Algebra (SPA) implements the concepts of FUSA and enables the construction of fuzzy spatial objects. This construction is done through a systematic approach based on SPA, which is formed by two steps, where each step requires the choice of hyperparameters that affect different ways the construction of the resulting plateau spatial object. However, there are no ways to compare the results and relate them to each type of application. In this job were created from experiments with numerical (e.g. area) and topological (e.g. equal) for the comparison of plateau spatial objects. In this way, it was possible to view the characteristics of objects created with different sets of hyperparameters. As a result of the experiments, guidelines were proposed that correlate each hyperparameter with different types of application.