Susanne Saminger, Bernard De Baets, Koen C. Maes,
"Aggregation of T-transitive reciprocal relations"
: Proceedings of AGOP'05 (Lugano), Seite(n) 113-118, 2005, ISBN: 80-227-2260-X
Original Titel:
Aggregation of T-transitive reciprocal relations
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings of AGOP'05 (Lugano)
Original Kurzfassung:
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.