Purpose: The aim of the work was the comparison of different methods’ usefulness for managing incomplete explanatory data in aiding the recognition for new patients, by different methods of multidimensional discriminant analysis, and in visualizing medical classification problems. Material and methods: Different methods as casewise deletion, single and multiple imputations for different discrim...

Distance geometry has been a broadly useful tool for dealing with conformational calculations. Customarily each atom is represented as a point, constraints on the distances between some atoms are obtained from experimental or theoretical sources, and then a random sampling of conformations can be calculated that are consistent with the constraints. Although these methods can be applied to small...

Let X be a 2-dimensional normed space, and let BX be the unit ball in X. We discuss the question of how large the set of extremal points of BX may be if X contains a well-distributed set whose distance set ∆ satisfies the estimate |∆ ∩ [0, N ]| ≤ CN3/2− . We also give a necessary and sufficient condition for the existence of a well-distributed set with |∆ ∩ [0, N ]| ≤ CN .

Most existing distances between intuitionistic fuzzy sets are defined in linear plane representations in 2D or 3D space. Here, we define a new interpretation of intuitionistic fuzzy sets as a restricted spherical surface in 3D space. A new spherical distance for intuitionistic fuzzy sets is introduced. We prove that the spherical distance is different from those existing distances in that it is...