Weighted triangular norms-based aggregation operators

Generalizing the construction of weighted quasi-arithmetic means for t-norms and t-conorms, we have proposed a new class of weighted means. This class is extended to weighted triangular norms-based aggregation operators, including weighted uninorms, nullnorms, gamma operators, etc. Note that the normal weighting vectors result in idempotent aggregation operators, however, non-normal weighting vectors can be also accepted. (C) 2002 Elsevier Science B.V. All rights reserved.