Logical Decisions - Classweb

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You can, however, leave the assessment process at any time. The utilities for the alternatives will be computed based on the ratios you have entered to that point. Just click the "Done" button when you have completed your assessments. The AHP process collects more preference judgments than are required to compute a set of utilities. Consequently, some judgments are likely to be inconsistent. LDW represents the degree of inconsistency by the numbers in the upper left corner of the matrix. The number labeled "C.I." is the "Consistency Index" for the matrix. It is an absolute measure of how consistent the ratios in the matrix are. The number labeled "C.R." is the consistency ratio and is a relative measure of consistency. The developers of the AHP approach suggest that C.R.s above 0.10 indicate that you should adjust the matrix to make it more consistent. The AHP Menu. When doing an AHP assessment, the AHP menu appears in the main menu bar. It has the following options: ! Done -- Save the current AHP matrix and return to the Common Units Dialog Box. ! Cancel -- Return to the Common Units Dialog Box without saving the AHP matrix. ! Hide Weights -- Don't show the computed AHP levels or weights along the matrix diagonal. Selecting this option again will restore the levels/weights. ! Show C.R. Only -- Show only the consistency ratio statistic in the upper left-hand corner of the matrix. Selecting this option again will restore the lambdamax and consistency index statistics. ! Hide All Statistics -- Don't show any of the three statistics in the upper left-hand corner of the matrix. Selecting this option again will restore all three statistics. ! Estimate Ratios -- When checked, LDW computes a performance ratio for each pair of alternatives based on the ratios entered so far. When unchecked, LDW does not compute these ratios. 7-18 Section 7 -- Using LDW 2: Assessing
! Identify Outliers — Highlights those ratios that differ most from the ratios computed by LDW based on the utilities displayed on the diagonal of the AHP matrix. When you select this option, LDW will ask you how many outliers to highlight and will redraw the matrix with that number of cells highlighted in red. Common Units Using Adjusted AHP The Analytic Hierarchy Process method for converting to common units has the property that the computed utilities for the alternatives sum to 1.0. This may pose a problem when combining the Analytic Hierarchy Process with other methods which range from 0.0 (worst) to 1.0 (best). To remedy this problem, LDW provides an alternate assessment method -- called Adjusted AHP -- which adjusts the computed AHP utilities so that they range from 0.0 (worst) to 1.0 (best). This adjustment is the only difference between the two approaches. The adjusted utilities appear on the assessment matrix diagonal during the assessment process, which is otherwise exactly the same as for the Analytic Hierarchy Process method. Common Units Using AHP SUFs The Analytic Hierarchy Process and Adjusted AHP approaches described above require that you include every alternative in the matrix. This makes the assessment requirements excessive for problems with more than a few alternatives. In addition, there is no link between the ratios assessed and the levels for the alternatives on the measure. For these reasons, LDW provides an alternate approach called "AHP SUFs." The AHP SUFs method lets you develop an AHP matrix for just some alternatives. LDW uses the utilities computed from the matrix as the basis for a single measure utility function. LDW can then use this SUF to rank all of the alternatives. Note that -- unlike the traditional Analytic Hierarchy Process method -- the AHP SUFs method requires you to define a level for each alternative on the active measure. When you select the "AHP SUF" method in the common units dialog box and click "Assess," LDW first asks you to select a set of alternatives to use in the matrix. Just click on the alternative names to select and highlight them. Only alternatives whose levels are within the range defined in the active measure's Section 7 -- Using LDW 2: Assessing 7-19
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Logical Decisions Decision Support
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Table of Contents Table of Contents
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Assessing Weights with Weight Ratio
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Assessing Interactions Between Meas
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Introduction Real decisions aren't
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S E C T I O N Requirements and Inst
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"Logical Decisions". This program g
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Quick Start Introduction This secti
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Defining goals and measures. In LDW
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Figure 3-1. The SUF for "Years of E
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weights of the measures. All of the
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S E C T I O N Basic Tutorial 4
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Figure 4-1. Tutorial overview. 4-2
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Now lets make sure the alternatives
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Assume you have decided that you wi
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Next we will enter the measures for
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Defining Preferences The alternativ
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1. Select the Assess::Common Units
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almost equally unacceptable, while
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1. Select the Assess::Common Units
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When you do this, the tradeoff grap
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1. Select "Performance" and "Price"
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8. Click on the "Equal" button to t
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Figure 4-11. Display generated by R
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Figure 4-13. Overall ranking for tr
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Figure 4-15. Graph showing sensitiv
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You can see the completed introduct
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Advanced Tutorial This tutorial sec
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Probabilities There is a problem wi
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This information indicates that the
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A uniform distribution is defined b
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On the left is a list of the possib
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Figure 5-2. Example of Results::Unc
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screen a large database for the alt
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9. LDW will ask if you want to appe
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commit to buying their truck before
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see that the rankings for all the a
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S E C T I O N Using LDW 1: Structur
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The Edit::Insert option. The Insert
Page 86 and 87: ! Summary -- view a dialog box that
Page 88 and 89: structure like an organization char
Page 90 and 91: If you check the Show Assessment St
Page 92 and 93: saves it for later pasting. When yo
Page 94 and 95: You can create a new Matrix view by
Page 96 and 97: The quick entry view shows the alte
Page 98 and 99: Structuring Goals The goals in an L
Page 100 and 101: these two fields to describe each m
Page 102 and 103: the hierarchy. In the Matrix view,
Page 104 and 105: ! Point Estimate -- use a single nu
Page 106 and 107: Figure 6-12. Example of a measure l
Page 108 and 109: Figure 6-14. Example of a measure l
Page 110 and 111: pass, LDW replaces each probabilist
Page 112 and 113: Figure 6-17. Dialog box for definin
Page 114 and 115: Figure 6-18. Measure Category Dialo
Page 117: S E C T I O N Using LDW 2: Assessin
Page 120 and 121: measure utility functions for the g
Page 122 and 123: information as possible when you ch
Page 124 and 125: measures with categories require mu
Page 126 and 127: The "Reset" button deletes any asse
Page 128 and 129: You can change the shape of the cur
Page 130 and 131: Figure 7-4. Utility Assessment Scre
Page 132 and 133: very different from the average of
Page 134 and 135: Figure 7-6. Assessment matrix for A
Page 138 and 139: properties dialog box can be select
Page 140 and 141: the same level. LDW provides a grap
Page 142 and 143: options in the Hierarchy menu to ad
Page 144 and 145: The check box labeled "Allow Repres
Page 146 and 147: Next you will see a tradeoff assess
Page 148 and 149: The Tradeoff::Use Alternatives to S
Page 150 and 151: Figure 7-13. Example of Direct Entr
Page 152 and 153: You can think of the importance num
Page 154 and 155: Figure 7-15. Assessment Screen for
Page 156 and 157: When you have selected two members
Page 158 and 159: ("importance strength") that best d
Page 160 and 161: clicking on the "Initialize" button
Page 162 and 163: Set a Small k. The Enter Small k op
Page 164 and 165: select the tradeoff you would like
Page 166 and 167: Figure 7-18. Effects of consistency
Page 169 and 170: Using LDW 3: Reviewing Results Intr
Page 171 and 172: The curve shows how the utility fun
Page 173 and 174: The tradeoff graph has one measure
Page 175 and 176: When you select the option, you are
Page 177 and 178: the relative weights of the "Price"
Page 179 and 180: epresents a computer alternative wi
Page 181 and 182: Figure 8-11. Example of Review::Ass
Page 183 and 184: e true even if the measure has a ve
Page 185 and 186: an analysis are included in exactly
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Graph Weights The Graph Weights dis
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Figure 8-16. Results::Rank Alternat
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Figure 8-18. Dialog box for Results
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You can use the measure equivalents
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simulation for each alternative usi
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Sensitivity Graphs Sensitivity grap
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You can view a sensitivity table by
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Figure 8-28. Example of Results::Sc
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Figure 8-30. Example of Results::Sc
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In the dialog box, you are asked to
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Figure 8-34. Dialog box for Results
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Graph an Alternative The graph an a
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Figure 8-38. Example of Results::Gr
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Finally, the two radio buttons on t
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Figure 8-43. Example of Results::Co
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Printing and Saving Windows You can
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The dialog box will show you the fi
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Figure 8-45. Dialog box for Edit::C
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Changing the range for utility. You
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Figure 8-50. Dialog box for Prefere
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the current color for that type of
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copies the selected objects to the
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analysis with the skeleton analysis
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Figure 8-55. Dialog box for File::I
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the other measures. The measure nam
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The idea of the Import Structure op
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Next, LDW asks you if it should app
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Other Options utility function for
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In addition, the Window menu contai
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In Depth Introduction This section
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A third example is a portfolio deci
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Each alternative has a raw score (c
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into more specific goals continues
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Measures in LDW You define measures
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computed measure levels to common u
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Converting the Measures to Common U
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Figure 9-2. Example of linear (stra
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For an example of the mid-level spl
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Since U(L0) = U(80) = 0 and U(L1) =
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Figure 9-5. Summary of SUF assessme
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describe two alternatives: A, which
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with equal chances of 40 and 70 per
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In the original formulation of the
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1 Equal Importance Two activities c
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You begin the process by selecting
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Figure 9-7. Effects of goals with a
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0.5. Then the weight assigned to "P
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! You can use the "Smarter Method"
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allocates this weight before comput
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nth root of the product of the rati
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Figure 9-8. Summary of estimating t
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on the decision maker's response, L
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Figure 9-10. MUF assessment figure
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Now think of adjusting P so that th
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Another approach is to use the rang
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Figure 9-12. Quantitative range vs.
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If a measure’s range changes, LDW
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Figure 9-14 is an example of the ov
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Similarly, a single member can have
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chance having 160 hp (the most pref
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A probability of less than 0.5 for
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Interpreting the Ranking Results LD
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S E C T I O N Examples 10
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the idea that other manufactures an
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The completed goals hierarchy is sh
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Buying a House The ranking results
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Figure 10-5. Goals hierarchy for bu
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Overall goal Quality goal Costs goa
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The preference assessments were don
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Figure 10-9. Goals hierarchy for re
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! Noise, ! Agricultural Impacts, an
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S E C T I O N Commands Summary 11
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Assess Menu Edit Menu The Assess me
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File Menu Edit::Insert Lets you add
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utility function” if the active g
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Matrix Menu ! Hierarchy -- options
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Results::Dynamic Sensitivity See th
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Review::Compute Utilities Compute t
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Tradeoff Menu View Menu LDW display
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S E C T I O N Glossary 12
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Common Units Certainty Equivalent C
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LDW File Level Lottery Measure assi
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MUF MUF Formula See also: Alternati
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Preference Set Probabilistic Level
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Tradeoff Trial program decides whic
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Bibliography B
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The classic reference on multiple m
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Appendix This appendix describes th
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= .125 Thus the weight for cost is
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Index adjusted AHP ................
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computing ................8 - 3 int
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