Implementable Representations of Level-2 Fuzzy Regions for Use in Databases and GIS

Many spatial data are prone to uncertainty and imprecision, which calls for a way of representing such information. In this contribu- tion, implementable models for the representation of level-2 fuzzy regions are presented. These models are designed to still adhere to the theoreti- cal model of level-2 fuzzy regions - which employs fuzzy set theory and uses level-2 fuzzy sets to combine imprecision with uncertainty - but im- pose some limitations and modifications so that they can be represented and used in a computer system. These limitations are mainly aimed at restricting the amount of data that needs to be stored; apart from the representation structures, the operations also need to be defined in an algorithmic and computable way.