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Logical Decisions - Classweb

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Figure 7-6. Assessment matrix for Analytic Hierarchy Process.<br />

In this matrix, the rows and columns both represent alternatives.<br />

The cells in the matrix represent the performance ratio of the row<br />

alternative to the column alternative.<br />

Since the ratio of an alternative to itself must be one, LDW does<br />

not need to show the ratios on the diagonal of the matrix. Instead,<br />

LDW uses the diagonal cells to show the current utility for each<br />

alternative based on the assessment so far.<br />

Initially, LDW assumes that all of the alternatives have equal<br />

performance, so that all the ratios off the diagonal equal one.<br />

To complete the assessment for the Analytic Hierarchy Process<br />

method, you need to enter the ratio for each possible pair of<br />

alternatives. This means you need to enter a ratio in each nondiagonal<br />

cell in the matrix.<br />

Since each pair appears twice in the matrix (once above the<br />

diagonal and once below it), you only need to enter ratios for the<br />

cells above the diagonal. LDW automatically enters the proper<br />

ratio in the corresponding cell below the diagonal.<br />

You enter the ratios between alternatives by highlighting the cell<br />

you want to enter and typing in the appropriate ratio.<br />

You can get help with this by double clicking the cell. When you<br />

do this, you will see a dialog box like the one in Figure 7-7.<br />

7-16 Section 7 -- Using LDW 2: Assessing

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