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This book sets out a process to identify the uncertainty in geographic entities. It describes how to successfully obtain, model, analyze, and display data, as well as interpret results within the context of GIS. Focusing on uncertainty that arises from transitional boundaries, th limits its study to three types of uncertainties: intervals, fuzzy sets, and possibility distributions. Th explains that uncertainty in geographical data typically stems from these three and it is only natural to incorporate them into the analysis and display of surface data. Th defines the mathematics associated with each method for analysis, then develops related algorithms, and moves on to illustrate various applications.