Displaying similar documents to “Special Issue: Guest editorial [Summer School on Aggregation Operators, Related Techniques and Their Applications AGOP'2003]”

A discussion on aggregation operators

Daniel Gómez, Montero, Javier (2004)

Kybernetika

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It has been lately made very clear that aggregation processes can not be based upon a unique binary operator. Global aggregation operators have been therefore introduced as families of aggregation operators { T n } n , being each one of these T n the n -ary operator actually amalgamating information whenever the number of items to be aggregated is n . Of course, some mathematical restrictions can be introduced, in order to assure an appropriate meaning, consistency and key mathematical capabilities....

Construction of aggregation operators: new composition method

Tomasa Calvo, Andrea Mesiarová, Ľubica Valášková (2003)

Kybernetika

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A new construction method for aggregation operators based on a composition of aggregation operators is proposed. Several general properties of this construction method are recalled. Further, several special cases are discussed. It is also shown, that this construction generalizes a recently introduced twofold integral, which is exactly a composition of the Choquet and Sugeno integral by means of a min operator.

Nonparametric recursive aggregation process

Elena Tsiporkova, Veselka Boeva (2004)

Kybernetika

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In this work we introduce a nonparametric recursive aggregation process called Multilayer Aggregation (MLA). The name refers to the fact that at each step the results from the previous one are aggregated and thus, before the final result is derived, the initial values are subjected to several layers of aggregation. Most of the conventional aggregation operators, as for instance weighted mean, combine numerical values according to a vector of weights (parameters). Alternatively, the MLA...

Möbius fitting aggregation operators

Anna Kolesárová (2002)

Kybernetika

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Standard Möbius 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 3-copulas are shown to be fitting and moreover, all fitting weighted means are characterized....