On distributivity between aggregation operators with annihilator and Mayor’s aggregation operators

Migrativity equations and Mayor's aggregation operators

There has been a growing interest in the study of the notion of $alpha$-migrativity and generalizations in recent years, and it has been investigated for families of certain operators such as t-norms, t-conorms, uninorms, nullnorms.This paper is mainly devoted to investigating the migrativity equations between semi-t-operators or semi-uninorms, and Mayor's aggregation operators. The results tha...

Fundamentals on Aggregation Operators

based on Detyniecki's doctoral thesis [15]: "Mathematical aggregation operators and their application to video querying", directed by B. Bouchon-Meunier and R. Yager. The complete document is available as a LIP6 research report: 2001-002. Ask for a printed version of the thesis or download it from http://www.lip6.fr/reports/index-eng.html. I also would like to thank Radko Mesiar for all the com...

On compensatory bipolar aggregation operators

Möbius fitting aggregation operators

Standard Mobius transform evaluation formula for the Choquet integral is associated with the min-aggregation. However, several other aggregation operators replacing min operator can be applied, which leads to a new construction method for aggregation operators. All binary operators applicable in this approach are characterized by the 1-Lipschitz property. Among ternary aggregation operators all...

Aggregation operators 2003

Several new results in the field of aggre-gation operators are recalled. Most of them were or will be presented at 24 th Finally, a personal vision of the future development of the theory of aggregation operators is given.