In this paper, we consider the InterCriteria Analysis (ICrA), which is based on the index matrices and intuitionistic fuzzy sets. We demonstrate the application of ICrA using the software ICrAData. ICrAData implements five different algorithms for InterCriteria relations calculation, namely: µ-biased, Unbiased, ν-biased, Balanced and Weighted. The software ICrAData displays results in two panels-matrix and graphical view, and the results can also be exported in various formats: matrices, vectors, and graphics. In the matrix view, the column data can be sorted in ascending or descending order. The graphic view has options for resizing the intuitionistic fuzzy triangle, showing a grid and assigning different colours to the points. Moreover, a selected point in the graphic is outlined in the matrix view, and vice-versa. In the present paper some of the ICrAData software functionalities are illustrated by an example.

In the paper, we propose two new conjectures about the convergence of Hermite Approximants of multivalued analytic functions of Laguerre class L . The conjectures are based in part on the numerical experiments, made recently by the authors in [26] and [27]. Bibliography: [59] items. Figures: 14 items.

The main purpose of the paper is to present some powerful data on the advantage of the rational approximation procedure based on Hermite-Padé polynomials over the Padé approximation procedure. The first part of the paper is devoted to some numerical examples in this direction. The second part will be devoted to some theoretical results.In particular, we demonstrate our ideas about the advantage of rational Hermite-Padé approximants over Padé approximants analyzing the analytical structure of the frequency function ν of the free Van der Pol equation.Bibliography: [41] titles.

A meshless multi-point flux approximation method AIP Conf.A variational approach to the theory of multipoint Padé approximants Abstract. In the present paper, we consider m 1 -almost uniform convergence of sequences of multipoint Padé approximants of degree (n, m n ), where m n = o(n/ log n). We provide a sufficient condition for the interpolation points to be uniformly distributed with respect to the equilibrium measure of the supporting compactum.