During the reporting period, a mobility month to the Polytechnic University of Gandia has been made in order to start a collaboration with Professor Valentin Gregori. Together with this professor work on parametrised pseudometrics and its applications to finding distances between two infinite periodic words has started. A function is constructed for which the axioms of the definition of parametrised pseudometrics are satisfied and which describes well the expected distance between two different infinite periodic words.

A presentation "Fuzzy approximating methods in combinatorics on words" is developed and presented to Prof. Gregori and his colleagues in the research group during this mobility at the Polytechnic University of Gandia.

Work continued on the scientific paper "Fuzzy approximating metrics and their relations with fuzzy partial metrics and modular metrics". Also continued work on the scientific article "Two kinds of parametrised metrics: construction, topological properties and applications".

A presentation on "Fuzzy metrics" is being prepared for the Small Mathematics University, which will be presented to secondary school students who will be introduced to fuzzy metrics, including those developed in the framework of this project.

The information posted on 02.01.2023.