In the following work a new method was proposed to study similarity of objects’ structures. This method is an adaptation of radar methods of objects’ ordering and cluster analysis, which are being developed by the authors. The value added by the authors is the construction of measures for conformability of structures of two objects. Those measures may also be used to define similarities between given objects. Proposed measures are independent of the order of features.
In the following work we presented a method of using radar charts to calculate measures of conformability of two objects according to formulasgiven by, among others, Dice, Jaccard, Tanimoto and Tversky. This method incorporates another one presented by the authors of this study [Binderman, Borkowski, Szczesny 2010]. Presented methods can be also utilized to define similarities between given objects, as well as to order and group objects. Measures described in this work satisfy the condition of stability as they do not depend on the order of studied features.
In the following work we have described a process of using radar charts to measure concentration of a distribution. The process utilises the idea of Gini index based on a Lorenz curve as well as a method presented by the authors in [Binderman, Borkowski, Szczesny 2010]. The presented technique can also be used by analysts to create new coefficients of concentration based on measures of similarity and dissimilarity of objects so that from the set of constructed coefficients one that best fulfils the required criteria of sensitivity can be chosen.
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