Matej Bel University

About: Matej Bel University is a education organization based out in Banská Bystrica, Slovakia. It is known for research contribution in the topics: Tourism & Fuzzy set. The organization has 721 authors who have published 1497 publications receiving 11573 citations. The organization is also known as: Matej Bel & Univerzita Mateja Bela.

Strong laws for recurrence quantification analysis

Abstract: The recurrence rate and determinism are two of the basic complexity measures studied in the recurrence quantification analysis. In this paper, the recurrence rate and determinism are expressed in terms of the correlation sums, and strong laws of large numbers are given for them.

Logical Entropy and Logical Mutual Information of Experiments in the Intuitionistic Fuzzy Case

Abstract: In this contribution, we introduce the concepts of logical entropy and logical mutual information of experiments in the intuitionistic fuzzy case, and study the basic properties of the suggested measures. Subsequently, by means of the suggested notion of logical entropy of an IF-partition, we define the logical entropy of an IF-dynamical system. It is shown that the logical entropy of IF-dynamical systems is invariant under isomorphism. Finally, an analogy of the Kolmogorov–Sinai theorem on generators for IF-dynamical systems is proved.

Branch-Width, Parse Trees, and Monadic Second-Order Logic for Matroids

Abstract: We introduce "matroid parse trees" which, using only a limited amount of information, can build up all matroids of bounded branch-width representable over a finite field. We prove that if M is a family of matroids described by a sentence in the second-order monadic logic of matroids, then the parse trees of bounded-width representable members of M can be recognized by a finite tree automaton. Since the cycle matroids of graphs are representable over any finite field, our result directly extends the well-known "MS2-theorem" for graphs of bounded tree-width by Courcelle and others. This work has algorithmic applications in matroid or coding theories.

Father’s and Mother’s Roles and Their Particularities in Raising Children

Abstract: Abstract We live in the era, when a lack of understanding the elementary family's functions and ineffectiveness in creating lasting and open relations within the family backgrounds are a frequent phenomenon. The breakdown of the family is often caused by immaturity and inadequate conditions for the parental and marital role. Personal tragedies, as well as the consequences in the upbringing, are serious effects of divorce and family breakdown. In this article we are attempting to point out an importance of the family in our current society with an emphasis on the particularities of the father’s and mother’s role in child rearing.