Finding the closest or farthest line segment (line) from a point are fundamental proximity problems. Given a set S of n points in the plane and another point q, we present optimal O(n logn) time, O(n) space algorithms for finding the closest and farthest line segments (lines) from q among those spanned by the points in S. We further show how to apply our techniques to find the minimum (maximum)...

Our research aim is to ameliorate the recall of the Fuzzy Proximity Information Retrieval Model (FPIRM) of Beigbeder & Mercier (2005), their approach is very “precise” when evaluating internationally agreed upon collections of documents used for benchmarking. The precision in this case for each query is the ratio of relevant documents retrieved over documents returned. However, the recall is we...

Fuzzy log& can be used advantageously in autonomous orbital operations that require the capability of handling imprecise measurements from sensors. Several applications are under way at the Software Technology Laboratory, NASA / Johnson Space Center to investigate fuzzy logic approaches and develop guidance and control algorithms for autonomous orbital operations. Translational as well as rotat...

Fuzzy multiset is applicable as a model of information retrieval because it has the mathematical structure which expresses the number and the degree of attribution of an element simultaneously. Therefore fuzzy multisets can be used also as a suitable model for document clustering. This paper aims at developing clustering algorithms based on a fuzzy multiset model for document clustering. The st...

− Spatial data mining knows a more and more important interest. Fundamental processes of spatial data mining are in particular clustering and structural patterns detection. These processes are influenced strongly by the concept of proximity or neighborhood. This paper introduces some structures to the construction of a spatial data mining integrating fuzzy structural primitives and propose to o...

The presence or absence of a BWER within a storm is important for severe weather forecasting. The three dimensional structure of a BWER is often not clearly deened in radar data and a fuzzy logic approach where the various uncertainties associated with a BWER's radar proole (capping, three-dimensional structure, vertical height, reeectivity ranges, proximity to a mesocyclone, etc.) are taken in...