International Summer School on Aggregation Operators and their applications (AGOP 2005)
Sprache des Tagungstitel:
In this contribution we discuss the aggregation of $T$-transitive reciprocal relations. We first focus on how to ensure that the aggregated relation is also reciprocal. Further, we investigate how to preserve the transitivity condition. For the three prototypical continuous t-norms $\TM$, $\TP$ and $\TL$ we present necessary and sufficient conditions such that the aggregation of $T$-transitive reciprocal relations results in a $T$-transitive reciprocal relation.