Issue |
RAIRO-Oper. Res.
Volume 54, Number 6, November-December 2020
|
|
---|---|---|
Page(s) | 1673 - 1683 | |
DOI | https://doi.org/10.1051/ro/2019110 | |
Published online | 16 September 2020 |
Characterization of Electre I choice procedures
1
Institut National Supérieur de Technologie Industriel (INSTI) de Lokossa, Université Nationale des Sciences, Technologies, Ingénierie et Mathématiques (UNSTIM) d’Abomey, Abomey, Benin
2
Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi, Cotonou, Benin
3
Faculté des Sciences et Techniques, Université d’Abomey-Calavi, Cotonou, Benin
* Corresponding author: musanni@yahoo.fr
Received:
17
September
2018
Accepted:
10
November
2019
This paper discusses choice procedures that select the set of best alternatives taking into account reflexive binary relations (called pseudo-tournaments in the paper), such as those that can be obtained when constructing an outranking relation à la Electre. The paper contains interesting results which link together the second “exploitation” step in the Electre I outranking method with two choice procedures (Gocha and Getcha choice procedures also known in the literature as Schwartz set and Smith set respectively). A set of results that characterize some properties of the two outranking methods (ElectI and ElectIP choice procedures) is also presented.
Mathematics Subject Classification: 90B50
Key words: Choice procedure / outranking method / Electre I / top cycle / Gocha / Getcha
© EDP Sciences, ROADEF, SMAI 2020
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