| Interval-valued pre-aggregation functions are a hot topic in the research of aggregation functions and have received considerable attention in recent years. As a special class of
interval-valued pre-aggregation functions, (light) interval-valued pre-t-norms were initially proposed by Wang Yuntian and Hu Baoqing, but their properties were not further discussed by
the authors. The main purpose of this paper is to study in depth the properties and generation
of (light) interval-valued pre-t-norms. Firstly, several properties of (light) interval-valued pre-tnorms and their relationship with (light) pre-t-norms are presented. Then, two different generation methods for (light) interval-valued pre-t-norms are introduced. Finally, it demonstrates a
specific application of (light) interval-valued pre-t-norms in constructing interval-valued directional monotonic fuzzy implications, namely, using the (light) interval-valued pre-t-norm IT ,
interval-valued fuzzy negations IN , and (light) interval-valued pre-t-conorm IS to construct
interval-valued QL-directional monotonic operations. |
