Describing, Modeling and Topological Relationships of Fuzzy Regionsusing Intuitionist Fuzzy Theory

Although fuzzy logic methods are of great interest in many GIS applications, the traditional fuzzy logic has two important deficiencies. First, applying the fuzzy logic is needed to assign, to every property and for every value, a crisp membership function. Second, fuzzy logic does not distinguish between the situation in which there is no knowledge about a certain statement and a situation that the belief to the statement in favor and against is the same. Due to this fact, it is not recommended for problems with missing data and where grades of membership are hard to define. Uncertainty and vagueness are parts and parcels of many geographical phenomena. In general there is rarely a clear boundary between such different natural phenomena. In this paper a simple fuzzy region and fundamental concepts for uncertainty modeling of spatial relationships are analyzed from the view point of intuitionistic fuzzy (IF) logic. The authors demonstrated how it could provide model for fuzzy region; i.e., regions with indeterminate boundaries. They introduced a new theoretical framework and discussed possible contribution to remote sensing. As a proof of their idea, the paper discusses the use of suggested model for different kind of uncertainty.