Handbook on MCDA Applications Chapter 7
Site selection for a university kindergarten in Madrid
Authors: T. Tervonen, G. Fernandez Barberis, J. Rui Figueira and M. C. Escribano
Comment: Rubis Best Choice Recommendation
Version: saved from RubisRestServer@leopold-loewenheim.uni.lu
Author: R. Bisdorff
Content
Method data
Comment: Rubis best choice recommendation in XMCDA format.
Version: 1.0
Parameter |
Value |
Comment |
variant |
Rubis
|
|
valuationType |
bipolar
|
|
vetoType |
normal
|
|
List of Alternatives
Potential decision actions.
# |
Identifyer |
Name |
Comment |
1 |
Ar |
Campus Arguelles |
Madrid centre. |
2 |
Lr |
La Rozas |
West of Madrid centre. |
3 |
Ma |
Majadahonda |
West of Madrid centre. |
4 |
Mo |
Campus Moncloa |
Madrid centre. Same location as San Dominique. |
5 |
Mp |
Campus Monteprincipe |
South West of Madrid centre. |
6 |
Po |
Pozuelo |
Sout West of Madrid centre. |
7 |
Sd |
San Dominique |
Madrid centre. Same loaction as Campus Moncloa |
Rubis family of criteria.
# |
Identifyer |
Name |
Comment |
Weight |
Scale |
Thresholds |
direction |
min |
max |
indifference |
weak preference |
preference |
weak veto |
veto |
1 |
ACC |
Accessibility to Madrid city centre |
In minutes. The metropolitan area
of Madrid covers a wide area, causing transportation accessibility
to be of importantance when choosing a site for a new facility. In a
city with heavy traffic congestion, the actual distance might not
correlate with accessibility, and therefore we have chosen to
measure it in minutes by public transportation from a central
transport hub. |
0.30 |
min |
30.00 |
60.00 |
6.50
|
|
12.50
|
|
|
2 |
COP |
land and construction prize |
The sites have differing
costs of location and construction depending on the building
location (e.g. residential zone, city center or outskirts). |
0.30 |
min |
3000000.00 |
5500000.00 |
10000.00
|
|
100000.00
|
|
|
3 |
EFF |
Effects to the city landscape |
Government regulations define that
effects to urban landscape, green spaces, and cultural heritage must
be estimated. We measure them with odinal ranking number from best (1rst) to worst (7th). |
0.10 |
min |
1.00 |
7.00 |
|
|
|
|
|
4 |
MAC |
maintenance costs of the facility |
In euros / month, measured by
estimating total fixed and variable costs (supplies, personnel,
taxes, etc). |
0.10 |
min |
20000.00 |
50000.00 |
0.00 + -0.03x
|
|
0.00 + -0.08x
|
|
|
5 |
SIZ |
Size (in children) of the kindergarten |
size (in children) of the kindergarten to be
built as measured with a number of day-care places. The Spanish
government regulates \citep{BOE:2005,BOE:2007} the maximum number of children
for $m^2$ and the required common services. The number of day-care
places can be derived from the estimated building specifications. |
0.20 |
max |
100.00 |
300.00 |
1.50
|
|
3.00
|
|
|
Rubis Performance Table
alternative |
ACC |
COP |
EFF |
MAC |
SIZ |
Ar |
36.67 |
5238520.00 |
5.00 |
31750.00 |
167.00 |
Lr |
49.00 |
3904800.00 |
2.00 |
38000.00 |
201.00 |
Ma |
46.33 |
3146000.00 |
4.00 |
30500.00 |
159.00 |
Mo |
39.17 |
4729000.00 |
7.00 |
29000.00 |
159.00 |
Mp |
52.50 |
3937880.00 |
3.00 |
43500.00 |
234.00 |
Po |
42.83 |
3317270.00 |
1.00 |
31750.00 |
167.00 |
Sd |
38.33 |
4068450.00 |
6.00 |
26250.00 |
134.00 |
Ordinal Criteria Correlation Index
Comment: Generalisation of Kendall's τ to nested homogeneous semiorders.
correlation
relation |
ACC |
COP |
EFF |
MAC |
SIZ |
ACC |
1.00 |
-1.00 |
-0.90 |
-0.52 |
-0.90 |
COP |
-1.00 |
1.00 |
-0.90 |
-0.33 |
-0.14 |
EFF |
-0.90 |
-0.90 |
1.00 |
-0.90 |
-1.00 |
MAC |
-0.52 |
-0.33 |
-0.90 |
1.00 |
-0.90 |
SIZ |
-0.90 |
-0.14 |
-1.00 |
-0.90 |
1.00 |
Principal component analysis of the criteria correlation index
( Black arrows indicate outranking situations supported by a criteria coalition
of positive significance, i.e. gathering more than 50% of the global criteria significance weights.
Empty arrow heads indicate an indeterminate outranking situation.)
Bipolar-valued Outranking Relation
Comment: Rubis Choice Recommendation Relation
Valuation Domain
Comment: Significance degrees
Maximum |
100 |
Median |
0 |
Minimum |
-100 |
Valued Adjacency Table
Comment: Pairwise outranking significance degrees in the range: -100.00 to 100.00
|
Ar |
Lr |
Ma |
Mo |
Mp |
Po |
Sd |
Ar |
0.00 |
-20.00 |
10.00 |
20.00 |
-20.00 |
20.00 |
20.00 |
Lr |
50.00 |
0.00 |
20.00 |
50.00 |
60.00 |
0.00 |
50.00 |
Ma |
30.00 |
40.00 |
0.00 |
60.00 |
40.00 |
40.00 |
50.00 |
Mo |
40.00 |
-20.00 |
20.00 |
0.00 |
-20.00 |
-20.00 |
0.00 |
Mp |
20.00 |
30.00 |
20.00 |
20.00 |
0.00 |
-30.00 |
20.00 |
Po |
100.00 |
60.00 |
30.00 |
80.00 |
60.00 |
0.00 |
80.00 |
Sd |
40.00 |
-20.00 |
-20.00 |
60.00 |
-20.00 |
-20.00 |
0.00 |
Rubis Choice Recommendation
Comment: In decreasing order of determinateness. All values expressed in %.
# |
Choice set |
Determinateness |
Outrankingness |
Outrankedness |
Comment |
1 |
{
Po,
}
|
65.00 |
65.00 |
35.00 |
Best choice |
2 |
{
Ma,
}
|
65.00 |
65.00 |
40.00 |
Best choice |
Potentially Bad Choices
Comment: All values expressed in %.
# |
Choice set |
Determinateness |
Outrankedness |
Outrankingness |
Comment |
1 |
{
Ar,
}
|
60.00 |
60.00 |
40.00 |
Bad choice |
2 |
{
Mo,
}
|
60.00 |
60.00 |
40.00 |
Bad choice |
Content
Bisdorff R., Meyer P., Roubens M., Rubis: A new methodology for the choice decision problem. 4OR,
A Quarterly Journal of Operational Research, Springer (2008), Vol 6 Number 2 pp. 143-165, DOI 10.1007/s10288-007-0045-5.
PDF preprint version.
Online documentation: Decision Deck Project
Rubis XSL Transformation to HTML R. Bisdorff, $Revision: 1.6 $
XMCDA 2.0 Schema P. Meyer and Th. Veneziano 2009
Copyright © 2009 DECISION DECK Consortium