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Weighted triangular norms-based aggregation operators

✍ Scribed by Tomasa Calvo; Radko Mesiar

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 219 KB
Volume: 137
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(02)00428-1

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✦ Synopsis

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.

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