During the reporting period, a mobility month at the University of the Balearic Islands has been made in order to start a collaboration with the Motibo research group and its leader, Professor Oscar Valero. The work on parametrized pseudometrics and its applications to finding the distance between two infinite words has been started together with this group. A function, for which the axioms of the definition of parametrized pseudometrics are satisfied and describes well the "expected" distance between different infinite words, is constructed. A general formula has been found, which determines the distance between two periodic infinite words.
A presentation "On Strong Fuzzy (Pseudo)metric, Fuzzy Approximate (Pseudo)metric and Applications in Combinatorics on Words" has been made, which is presented during a mobility in Palma, Balearic Islands, to the research group "Motibo" at the University of the Balearic Islands in Spain.
Completion of the scientific publication "Some remarks on strong fuzzy metrics and strong fuzzy approximating metrics with applications in word combinatorics", which includes results from this and previous periods.
The information posted on 30.12.2021.