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Logical Decisions - Classweb

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on the decision maker's response, LDW helps her modify one<br />

alternative until she prefers it equally to the other.<br />

LDW starts the process by showing one alternative having the<br />

most preferred level on the first member and the least preferred<br />

level on the other. The other alternative has the least preferred<br />

level on the first member and the most preferred level on the<br />

second. LDW represents these two alternatives by points at<br />

opposite corners of the graph.<br />

If the decision maker prefers the two alternatives equally, LDW<br />

will assign the two members equal weights. A decrease in the<br />

first member of its entire range just compensates for an increase in<br />

the second member over its range.<br />

If, however, the decision maker prefers the first alternative, the<br />

improvement in the second measure does not compensate for the<br />

change in the first. To make the second alternative more<br />

attractive, we improve its level on the first member.<br />

If we improved the first member all the way to its most preferred<br />

level, the decision maker would have to prefer the second<br />

alternative to the first. It would have the same level (the most<br />

preferred) on the first member and a better level on the second<br />

(the most preferred level vs. the least preferred level).<br />

This means that we can find a level for the first member on the<br />

second alternative that makes the second alternative equally<br />

preferred to the first. A series of questions posed to the decision<br />

maker will allow us to zero in on that level.<br />

For example, suppose that again we want to establish a tradeoff<br />

between Cost and Power for use in selecting trucks. We might do<br />

this by going through the following dialogue with the decision<br />

maker:<br />

Section 9 -- In Depth 9-45

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