Research on t-conorms based fuzzy metrics continued during the reporting period. However, several other research areas closely related to strong fuzzy metrics were particularly developed during this period:

1) Various t-norms and families of t-norms have been seeked and defined, which can be used to obtain strong, fuzzy metrics induced either by a standard metric or by some other defined metric.

2) The issues and properties related to strong, fuzzy metrics are investigated. It is proved that if one is given a set with all strong, fuzzy metrics defined by a given continuous t-norm, then the limit of these metrics also belongs to the given set.

3) It is proved that if there is an infinite set with all t-norms yielding strong, fuzzy metrics induced by the standard metric or by any other metric, and the t-norms are increasing, then the limit of these t-norms also belongs to the set. It is also shown that if there are two strong, fuzzy metrics with any t-norm, then their minimum is also a strong, fuzzy metric, but the maximum is not necessarily. The smallest of all strong, fuzzy metrics is defined.

4) Definition of a strong, on t-conorms based fuzzy metric generated from some other metric is given. It is proved to be a strong, fragmentary on t-conorms based fuzzy metric with both product and Lukashevitz t-conorms.

The writing of a scientific publication on the results of this and the previous period has been started.

The information posted on 30.09.2021.