M. Köksalan,
V. Mousseau,
O. Ozpeynirci,
and S. Bilgin Ozpeynirci.
An outranking-based approach for assigning alternatives to ordered classes.
Naval Research Logistics,
56(1):74-85,
February 2009.
[WWW
] [
]
| Abstract: |
We consider the problem of assigning alternatives evaluated on several criteria into ordered categories C1, C2,..., Cp. This problem is known as the multi-criteria sorting problem and arises in many situations such as classifying countries into different risk levels based on economical and socio-political criteria, evaluating credit applications of bank customers. We are interested in sorting methods that are grounded on the construction of outranking relations. Among these, the Electre Tri method requires defining multidimensional profiles that represent the frontier separating consecutive categories Ch and Ch+1, and assigns an alternative to categories according to how it compares to each of the profiles. The explicit specification of the profiles of consecutive categories can be difficult for decision makers. We develop a new outranking based sorting method that does not require the explicit definition of profiles. We instead require the decision maker to assign a subset of reference alternatives to the categories. To assign the remaining alternatives, each such alternative is compared to reference alternatives, and assigned to categories accordingly |
@Article{BKMO2008,
author = {M. Köksalan and V. Mousseau and O. Ozpeynirci and S. {Bilgin Ozpeynirci}},
title = {An outranking-based approach for assigning alternatives to ordered classes},
journal = {Naval Research Logistics},
volume = {56},
number={1},
pages = {74-85},
year = {2009},
month={February},
url = {http://www3.interscience.wiley.com/journal/121458513/abstract},
pdf = {../PDF/BKMO.pdf},
abstract = {We consider the problem of assigning alternatives evaluated on several criteria into ordered categories C1, C2,..., Cp. This problem is known as the multi-criteria sorting problem and arises in many situations such as classifying countries into different risk levels based on economical and socio-political criteria, evaluating credit applications of bank customers. We are interested in sorting methods that are grounded on the construction of outranking relations. Among these, the Electre Tri method requires defining multidimensional profiles that represent the frontier separating consecutive categories Ch and Ch+1, and assigns an alternative to categories according to how it compares to each of the profiles. The explicit specification of the profiles of consecutive categories can be difficult for decision makers. We develop a new outranking based sorting method that does not require the explicit definition of profiles. We instead require the decision maker to assign a subset of reference alternatives to the categories. To assign the remaining alternatives, each such alternative is compared to reference alternatives, and assigned to categories accordingly}
}
Fernando Pereira,
Jose Figueira,
Vincent Mousseau,
and Bernard Roy.
Comparing two Territory Partitions in Districting Problems: Indices and Practical Issues.
Socio-Economic Planning Sciences,
43(1):72-88,
2009.
[WWW
] [
]
| Abstract: |
Planning as part of public sector decision-making situations is an activity of critical importance, with direct relevance for urban planners. The ramifications of such decisions generally have significant effect on peoples' lives. The current paper deals with the comparison between territorial maps in the context of districting problems with a strong socio-economic component. The theoretical problem involves the comparison of two partitions in a connected, undirected, and planar graph. In considering this problem, we introduce three new indices to compare territory partitions: compatibility, inclusion, and distance, all of which have importance for real-world planning situations. Numerical experiments of these indices were carried out for the communes network in Ile de France |
@article{Pereiraetal09,
year=2009,
author={Pereira, Fernando and Figueira, Jose and Mousseau, Vincent and Roy, Bernard},
title={Comparing two Territory Partitions in Districting Problems: Indices and Practical Issues},
journal={Socio-Economic Planning Sciences},
volume={43},
number={1},
pages={72-88},
url= {http://www.sciencedirect.com/science?_ob=PublicationURL&_cdi=5827&_pubType=J&_auth=y&_acct=C000046800&_version=1&_urlVersion=0&_userid=870092&md5=2981ca6c9a3d203c91bc2b6d39197af1},
pdf={../PDF/Pereira-et-al2007.pdf},
abstract={Planning as part of public sector decision-making situations is an activity of critical importance, with direct relevance for urban planners. The ramifications of such decisions generally have significant effect on peoples' lives. The current paper deals with the comparison between territorial maps in the context of districting problems with a strong socio-economic component. The theoretical problem involves the comparison of two partitions in a connected, undirected, and planar graph. In considering this problem, we introduce three new indices to compare territory partitions: compatibility, inclusion, and distance, all of which have importance for real-world planning situations. Numerical experiments of these indices were carried out for the communes network in Ile de France}
}