Introdução à topologia Fuzzy

Abstract

This term paper is a study on fuzzy topology. Instead of using ordinary sets like ordinary topology, the open ones in fuzzy topology are fuzzy sets. For this study, we define fuzzy sets, fuzzy point, image and pre-image between these sets, as well as some results that are a consequence of these definitions. From these consequences, the definition of Fuzzy Topology is given, as well as neighborhood, base, closure, interior, adherence point, boundary point and accumulation. Finally, the concept of continuous functions, which differs from the ordinary topology, is presented, só a new definition for the fuzzy topology is presented to solve this difference.