Weighted triangular norms-based aggregation operators

Authors:
Tomasa Calvo;Radko Mesiar
Affiliations:
Department of Computer Science, University of Alcalá, 28871-Alcalá de Henares, Spain and Department of Mathematics and Computer Science, UIB, 07122-Palma de Mallorca, Spain;Department of Mathematics, Slovak Technical University, 81368-Bratislava, Slovak Republic and Systems Research Institute, PAN, 01-447 Warszawa, Poland
Venue:
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
Year:
2003

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Abstract

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.