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Logical Decisions - Classweb

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This dialogue let us establish a tradeoff between cost and power<br />

by identifying two alternatives that differ only in those measures<br />

and that the decision maker prefers equally. The two equally<br />

preferred alternatives are:<br />

Alternative A: cost = $7000, power = 80 hp, and<br />

Alternative B: cost = $9000, power = 160 hp.<br />

LDW can now compute the relative weight for the two measures<br />

(if the SUFs for the two measures have been assessed). LDW does<br />

this automatically. You and the decision maker don't have to do<br />

any computations. All you have to do is tell LDW when you<br />

prefer two simple alternatives equally.<br />

Assessing Tradeoffs with LDW. LDW simplifies the tradeoff<br />

assessment process by keeping track of which measures you have<br />

assessed. Initially LDW lets you select any two active members to<br />

trade against one another. Once you have done one or more<br />

tradeoffs, the program gives you a reduced range of choices. In<br />

this way LDW ensures that you don't assess any unneeded<br />

tradeoffs.<br />

To compute a complete set of weights for a MUF, you must have at least<br />

one tradeoff that includes each active member. If there are n members<br />

you must assess n-1 tradeoffs.<br />

Interpreting Directly Entered Weights<br />

You can interpret directly entered weights as defining a pair of<br />

equally preferred alternatives. In this interpretation, think of an<br />

alternative that has the least preferred level on each of the active<br />

members except one -- the member whose scaling constant you<br />

are assessing, which has the most preferred level. This is the first<br />

simplified alternative in the pair. Call it the "one member for<br />

sure" alternative.<br />

Next think of an alternative with well-defined uncertainties. This<br />

alternative has a probability P of having all of the active members<br />

at their most preferred levels (including the one you are<br />

assessing) and a probability of 1 - P of having all of the active<br />

members at their least preferred levels. This is the second<br />

simplified alternative (well, maybe its not so simple). Call it the<br />

"all or nothing" alternative.<br />

9-48 Section 9 -- In Depth

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