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Deriving topological concepts for fuzzy regions: from properties to definitions

Verstraete J.

Control and Cybernetics

2012

Vol. 41, no. 1

113-143

Fuzzy regions are a concept allowing the uncertain or imprecise spatial data to be represented. Many geographic or spatial data are prone to uncertainty or imprecision and while such data can be represented, it is still necessary to be able to perform basic tasks one expects to perform in a geographic context. A number of operations have been considered in the past; in this contribution the topological concepts of fuzzy regions will be examined. For this purpose, appropriate definitions for the boundary, interior and exterior of fuzzy regions will be developed. These definitions can then be applied in an extension of the 9-intersection model.