Résumé: The boundary of a fuzzy set is an important topic that is defined using the concepts of fuzzy topology. The inherent vagueness in the fuzzy sets allows researchers to construct various definitions of the fuzzy boundary. The fuzzy boundary is not only crucial for the theoretical purpose, it is also used to express uncertain geographical objects in geographical information systems (GIS). Specifically, the fuzzy boundary is used for constructing algebraic models such as fuzzy 9 and 16-intersection matrices, which evaluate the topological relation between two uncertain geographical objects. Considering that, this paper analyzes the concept of the fuzzy boundary of a set in the fuzzy topological space. Next, several algebraic models where the fuzzy boundary has been used for analyzing the spatial objects are discussed.

Langue: Anglais