Set Cover is a well-studied problem with application in many fields. A well-known variant of this the Minimum Membership problem: Given set points and objects, objective to cover all while minimizing maximum number objects that contain any one point. dual Hitting stab an object contains. We study both these variants geometric setting various types plane, including axis-parallel line segments, s...

Measurement results contain different kinds of uncertainty. Besides systematic errors andrandom errors individual measurement results are also subject to another type of uncertainty,so-called emph{fuzziness}. It turns out that special fuzzy subsets of the set of real numbers $RR$are useful to model fuzziness of measurement results. These fuzzy subsets $x^*$ are called emph{fuzzy numbers}. The m...