Monitoring the improvement of an overall industrial performance based on a Choquet integral aggregation

In addition, the problems of horizontal interactions between elementary expressions being not handled by the conventional weighted mean, the 2-additive Choquet integral and

While we, too, assume independence of correct receptions, we additionally assume a constant probability p > 0 of correct transmission, allowing us to derive exact values for

However this leads to the same drawback (see Appendix A)... An alternative approach consists in defining such indices axiomatically. We present it in the following theorem.. Let

In measurement theory, it is classical to split the overall evaluation model u into two parts [11]: the utility functions (that map the attributes onto a sin- gle satisfaction

Every n-variable Choquet integral is comonotonically additive.. Axiomatizations of the Choquet

• are linear w.r.t.. Let us comment on the axioms presented in this characterization. First, we ask the veto and favor indices to be linear with respect to the fuzzy measures. We

Since the Choquet integral includes weighted arithmetic means, ordered weighted averaging operators, and lattice polynomi- als as particular cases, our results encompass

As one could have expected from the definition of the Choquet integral, the determination of the moments and the distribution functions of the Choquet integral is closely related to