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Utility Function

A utility function transforms an outcome into a numerical value and measures the worth of an outcome. The utility of an outcome may be negative or positive. This utility function may be a simple table, a linear function, or a more complex function. The outcome matrix is converted to the utility matrix using the utility function.

Let U be the utility matrix

\begin{displaymath}U = \left( \begin{array}{llll}
U_{11} U_{12} \ldots U_{1m} \...
... \vdots \\
U_{n1} U_{n2} \ldots U_{nm}
\end{array} \right)

where Uij is the utility of the ith alternative task dealing with the jth objective.


Ronald LeRoi Burback