Short Agreement Toha

Generalization on fuzzy segmentations: Intuitively, there is a favorable way to generalize the superposition metrics for Fuzzy partitions, described in Table 11, by providing a method for calculating the cardinities of the confusion matrix for fuzzy quantities, because the confusion matrix is the basis on which all metrics in this category are defined. To do this, the main task is to calculate the correspondence between two segmentations, the assignment of voxels to segments being probabilities (fuzzy). For this purpose, it is customary to use an appropriate triangular norm (t) to calculate the correspondence between two fuzzy assignments [11, 12]. For two probabilities p1 and p2, which represent the belonging of a particular element (Voxel) to a specific class (segment) according to two different classifiers (segments), we use min (p1,p2) as the norm t as the concordance between the two classifiers. That is, we define the compliance function g:[0,1]×[0,1]→[0,1] which models conformity through a particular Voxel associated with a particular segment as g (p1,p2) =min (p1,p2). This also means that the agreement is given by g (1−p1,1-p2) on the same Voxel associated with the background. Intuitively, the disagreement between segments is the difference between probabilities due to |p1-p2| the data is given. However, since the comparison is asymmetric (i.e.: One of the segmentations is the fundamental truth and the other is the segmentation of the tests), consider the predetermined difference and not the absolute difference as in Eqs. 3 and 5. The four cardinities defined in equation 1 can now be generalised as follows in the Fuzzy case: the rules of taking or payment are generally accepted between undertakings with their suppliers, which require the purchasing undertaking to take over, on a specified date, a delivery agreed by the supplier, at the risk of paying a fine to the supplier if it does not do so. This type of agreement benefits the supplier by reducing the risk of losing money for the capital spent to make the product they want to sell. It benefits the buyer by allowing him to demand a lower negotiated price, since he takes on part of the supplier`s risk. .

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