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Logical Decisions - Classweb

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A probability of less than 0.5 for the more preferred possibility of<br />

alternative A corresponds to the third case in the table above,<br />

where big K is greater than 0 and the small k i sum to less than 1.<br />

Here, a low utility on any one measure leads to a low overall<br />

utility (destructive interaction).<br />

Defining Interactions in LDW. LDW lets you define interactions<br />

in several ways --<br />

! By using an additive MUF formula (no interactions).<br />

! By assessing a second tradeoff.<br />

! By assessing a probabilistic tradeoff.<br />

! By directly entering the small k for one measure.<br />

! By directly entering the small k for all measures.<br />

Generally, you define interactions after the weights have been<br />

assessed. If you define the MUF formula to have no interactions,<br />

you don't need to enter any additional information. This is the<br />

default.<br />

To assess a second tradeoff between two measures, LDW displays<br />

a list of the existing tradeoffs and asks you to select one. Then<br />

LDW asks you to directly define the second tradeoff using the<br />

"free float" tradeoff assessment option.<br />

If you have used a weight assessment method other than<br />

tradeoffs, LDW will let you select any two active members and<br />

define a tradeoff between them.<br />

To assess a probabilistic tradeoff, LDW again asks you to select an<br />

existing tradeoff. LDW then constructs a probabilistic tradeoff<br />

question for the members in the original tradeoff and asks you to<br />

enter the probability that makes the two alternatives equally<br />

preferred. Again for other assessment methods you can select<br />

any two active members to use in the question.<br />

Directly entering the small k for one active member lets LDW<br />

compute the complete MUF formula. Usually you will compute<br />

the small ks using an additive MUF formula first and then select<br />

an adjustment. If you enter a small k smaller than the one<br />

computed for the additive formula, you will have a big K greater<br />

than zero, indicating destructive interaction.<br />

Section 9 -- In Depth 9-63

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