During the reporting period, fuzzy (pseudo-) metrics based on t-conorms were investigated. In particular three research areas were developed during this period:

1) The modelling and construction of a strong, fragmentary, on t-conorms based fuzzy (pseudo) metric on the set of infinite words.

2) Definition of a strong, on t-conorms based fuzzy (pseudo) metric generated from another (pseudo) metric is given. This metric is proved to be a strong on t-conorms based fuzzy (pseudo) metric with Hamacher t-conorms, but is not strong with nilpotent-maximum t-conorms.

3) Definition of a strong on t-conorms based fuzzy (pseudo) metric generated from another (pseudo) metric is given. This is proved to be a strong, fragmentary, on t-conorms based fuzzy (pseudo) metric with a product t-conorm.

The current results were presented at the 79th International Scientific Conference of the UL with a title "On T-conorm Based Fuzzy (Pseudo)Metrics and Applications in Combinatorics on Words".

The information posted on 31.03.2021.