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Summary SDSS - Multi-Attribute Decision Analysis

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Summary of 1 pages for the course SDSS at TU Delft (Summary of Lecture)

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  • November 6, 2022
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  • 2022/2023
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Proximity -​Adjust
WLC

s
de
clu - Based on the idea of adjusting preferences
In according to the spatial relationship between
Weighted Linear alternatives, or an alternative and some
Combination reference locations:
es
lud
Criterion weights Inc




In
Weighted Linear des




clu
Inclu




des
Combination Associates with the ith decision alternative




de
(location) a set of criterion weights w1, w2,




s
Inclu
w3, etc. and combines the weights with the




Inc
criterion (attribute) values ai1, ai2 etc (1 =




lud
1,2..) as follows:




es
- Weighted Linear Combination (WLC) is the
Value functions Local WLC
most often used GIS-​MADA method
- WLC model consists of two components:
​ ​- criterion weights:
​ ​- value functions: - The alternative characterized by the
highest value of V(Ai) is the most preferred
Confluence of the two research areas: one)
Includes




- The decision alternative with the highest value of ​ ​ ​is the most preferred
alternative in the q-​th neighborhood




Assigning Weights of
Analytic Hierarchy Constructing an
Step 2 Importance through Step 3
Process steps overall priority rating
Pairwise comparison
Multi-​Attribute es
lud
Decision Analysis Inclu
Inc


des AHP procedure involves three main steps:
- Normalization of Matrix C entries:
Analytic Hierarchy Process 1. Developing the AHP hierarchy
2. Assigning weights of importance to each element of the
hierarchical structure
​ ​- using the pairwise comparison method
- Then the weights are computes as follows:
Include




3. Constructing an overall priority rating

- One of the most comprehensive methods of
multicriteria decision analysis
s




- Based on three principles:
​ ​- Decomposition Hierarchical
​ ​ ​ ​- Requires that a decision problem be
decomposed into a hierarchy that captures Structure Analytic Hierarchy
the essential elements of the problem
Inclu Process
​ ​- Comparative judgment des
des




​ ​ ​ ​- Requires assessment of pairwise
Inclu




comparisons of the elements within a given level
of the hierarchical structure, with respect to their
parent in the next-​higher level - Global Method
​ ​- Synthesis of priorities
​ ​ ​- Takes each of the derived ratio scale priorities
in the various levels of the
hierarchy and constructs a composite set of priorities
for the elements at the
lowest level of the hierarchy (that is, alternatives) Four levels:
- Goal
- Objectives
- Attributes
- Alternatives




Ideal Point Methods Ideal Point Example Example
s
su
r
ve



Reference points
LC




- Based on evaluating decision
W




alternatives with reference to some and Separation Ideal Point Models
specific target or goal Measures
- Ordering a set of decision alternative
on the basis of their separations from
some ideal/reference point


- Reference point: any significant target or goal
against which the decision alternatives are
evaluated Positive model:
- This hypothetical alternative is often defined in
terms of the positive ideal (utopia) point, or
negative ideal (or anti-​ideal or nadir) point
- Positive and negative ideal points are determined
as the best and worst possible value achievable by
any alternative, respectively:




Spatially explicit
Negative model:
ideal point model

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