During the reporting period, work continued on fuzzy approximating metrics, exploring their relationship to partial metrics and various nuances in their definitions. Also, fuzzy approximating metrics were compared with modular metrics and a definition of approximating modular metrics was introduced. A scientific paper on "Fuzzy approximating metrics and their relations with partial metrics and modular metrics" has been prepared and submitted to the ESCIM 2022 conference.
Work on the presentation "Parametrized metrics and their applications in word combinatorics" has been done, which will be presented at the IMPU 2022 conference in Milan in early July.
Together with mathematician E.M. Miķelsons, developed an application that allows the user to input arbitrary binary strings with equal lengths. This application outputs the distance between two different words of the same length, based on the algorithm and construction of the paper "Parametrised metrics and their applications in word combinatorics".
The information posted on 30.06.2022.