ABSTRACT

ABSTRACT: Uncertainty modelling for geometric data is currently an important problem in spatial reasoning, geographic information systems (GIS) and spatial databases. In many geographical applications, spatial regions do not always have homogeneous interiors and sharply defined boundaries but frequently their interiors and boundaries are fuzzy. This paper provides a new fuzzy spatial region model based on flou sets. To the authors’ knowledge, there has been no similar work based on flou sets. This model, which is different from the traditional fuzzy model that uses membership value, uses the relative relations between point sets and represents a fuzzy region as a flou set. The model uses operational properties of flou sets to obtain the properties and relations of fuzzy regions. The fuzzy region model based on flou sets is valuable in fields such as GIS, geography and spatial databases.