Abstract
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.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of AGOP'05 (Lugano) |
| Pages | 113-118 |
| Number of pages | 6 |
| Publication status | Published - 2005 |
Fields of science
- 101 Mathematics
- 101004 Biomathematics
- 101027 Dynamical systems
- 101013 Mathematical logic
- 101028 Mathematical modelling
- 101014 Numerical mathematics
- 101020 Technical mathematics
- 101024 Probability theory
- 102001 Artificial intelligence
- 102003 Image processing
- 102009 Computer simulation
- 102019 Machine learning
- 102023 Supercomputing
- 202027 Mechatronics
- 206001 Biomedical engineering
- 206003 Medical physics
- 102035 Data science