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Kybernetika 38(3):259-273, 2002.

Möbius Fitting Aggregation Operators.

Anna Kolesárová


Abstract:

Standard M\"obius transform evaluation formula for the Choquet integral is associated with the $\mathbf{min}$-aggregation. However, several other aggregation operators replacing $\mathbf{min}$ 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. This new method allows to construct aggregation operators from simpler ones.


AMS: 04A;


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BIB TeX

@article{kyb:2002:3:259-273,

author = {Koles\'{a}rov\'{a}, Anna },

title = {Möbius Fitting Aggregation Operators.},

journal = {Kybernetika},

volume = {38},

year = {2002},

number = {3},

pages = {259-273}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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