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Banska Bystrica, Slovakia

Matej Bel University , is a public research university in the central Slovak town of Banská Bystrica. The University was established on July 1, 1992 and inaugurated on October 23, 1992. It bears the name of Matthias Bel, an outstanding Lutheran scholar of the 18th century. As a collegiate university, it comprises six faculties that differ in character and history, each retaining substantial autonomy on financial and institutional affairs.Academically, the Matej Bel University is noted for influential movements and curricula in international relations and economics. Wikipedia.

Ilias M.,Matej Bel University | Kello V.,Comenius University | Urban M.,Comenius University | Urban M.,Slovak University of Technology in Bratislava
Acta Physica Slovaca | Year: 2010

We present an overview of basic principles and methods of the relativistic quantum chemistry. Practical aspects of different methods will be discussed stressing their capability of providing accurate predictions of molecular properties, particularly in species containing a heavy metal element. We will present a series of examples showing the importance of relativistic effects in a variety of molecular properties including electron affinities, ionization potentials, reaction and dissociation energies, electric, spectroscopic and other properties. It is possible to recognize a link between these properties and behaviour of materials in some cases. Particular attention is paid to relativistic calculations of the nuclear quadrupole moments for which accurate theoretical electric field gradient is combined with data from the microwave spectra. Important aspect of the present paper is understanding of trends in electronically related atoms throughout the Mendeleev Periodic Table rather than focusing on highly accurate numbers. We will show that relativistic effects represent an unavoidable instrument for explaining some unexpected properties of heavy metal containing compounds. We will also discuss an interplay between the many-electron correlation and relativistic effects. Source

Maslov K.A.,National Research Nuclear University MEPhI | Kolomeitsev E.E.,Matej Bel University | Voskresensky D.N.,National Research Nuclear University MEPhI
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics | Year: 2015

The equation of state of cold baryonic matter is studied within a relativistic mean-field model with hadron masses and coupling constants depending on the scalar field. All hadron masses undergo a universal scaling, whereas the couplings are scaled differently. The appearance of hyperons in dense neutron star interiors is accounted for, however the equation of state remains sufficiently stiff if the reduction of the ϕ meson mass is included. Our equation of state matches well the constraints known from analyses of the astrophysical data and particle production in heavy-ion collisions. © 2015 The Authors. Source

Spirkova J.,Matej Bel University
Information Sciences | Year: 2015

Based on the minimization considering dissimilarity function D(x,y)=f(x)-f(y)2 induced ordered weighted averaging operators IOWA and induced ordered generalized mixture operators IOMg are discussed. In general, these operators need not be monotone non-decreasing, thus they need not be the aggregation operators. This paper introduces conditions for their monotonicity and weak monotonicity. Several examples are included. © 2014 Elsevier Inc. All rights reserved. Source

Kukova M.,Matej Bel University
Information Sciences | Year: 2013

The principle of inclusion and exclusion for classical sets belongs to the very well-known theorems of combinatorics and probability theory. With the appearance of fuzzy sets and their generalizations it is natural to ask if this principle holds for them as well. It turns out that this is true e.g. for IF-events, which include fuzzy sets as a special case, as it was shown in [8]. In contrast to the mentioned paper we work with L-states and with a wider set of probabilities. As a consequence of this approach we obtain another method for proving the inclusion-exclusion principle for IF-sets. © 2012 Elsevier Inc. All rights reserved. Source

Janis V.,Matej Bel University
Information Sciences | Year: 2010

We consider the system of intuitionistic fuzzy sets (IF-sets) in a universe X and study the cuts of an IF-set. Suppose a left continuous triangular norm is given. The t-norm based cut (level set) of an IF-set is defined in a way that binds the membership and nonmembership functions via the triangular norm. This is an extension of usual cuts of IF-sets. We show that the system of these cuts fulfils analogical properties as usual systems of cuts. However, it is not possible to reconstruct an IF-set from the system of t-norm based cuts. © 2009 Elsevier Inc. All rights reserved. Source

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