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Logical Decisions - Classweb

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Converting the Measures to Common Units<br />

Since LDW allows so much flexibility in defining the scales and<br />

units for the measures, you cannot directly combine the measures<br />

into an overall score. For example, there is no direct way to<br />

combine the price of a car with its horsepower. To combine the<br />

measures, we must first convert them to a common scale.<br />

The common scale used in decision analysis is called utility,<br />

which has units called utils (generally pronounced "you-tills").<br />

Utility is a measure of desirability. The idea is that more utility is<br />

preferred to less and that each util represents the same amount of<br />

"increased desirability."<br />

The default utility scale for each measure has a range from zero to<br />

one, with one being the most preferred.<br />

LDW assigns a utility of zero to alternatives having the least preferred<br />

level for a measure. LDW assigns a utility of one to alternatives having<br />

the most preferred level.<br />

Alternatives having intermediate levels for a measure have a<br />

utility between zero and one on the measure's utility scale. LDW<br />

provides five methods for computing the common units for a<br />

measure:<br />

! Single Measure Utility Functions (SUFs),<br />

! The Analytic Hierarchy Process,<br />

! Adjusted AHP,<br />

! AHP SUFs, and<br />

! Direct Entry.<br />

Two of these methods -- SUFs and AHP SUFs -- use a continuous<br />

function to convert levels on a measure's nominal scale (say<br />

horsepower) to utility. The direct entry method associates utilities<br />

directly with labels or alternatives. The other two methods are<br />

based on the "Analytic Hierarchy Process." They define the utility<br />

for the alternatives by having you directly compare their<br />

performance on a measure without defining an explicit scale for<br />

the measure.<br />

The Analytic Hierarchy Process and adjusted AHP methods don't<br />

use explicit measure levels. Thus, they don't allow the distinction<br />

that the decision analysis method usually makes between the<br />

Section 9 -- In Depth 9-13

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