no. 6
Characterization of Electre I choice procedures
RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1673-1683

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.

Reçu le :
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2019110
Classification : 90B50
Keywords: Choice procedure, outranking method, Electre I, top cycle, Gocha, Getcha 
@article{RO_2020__54_6_1673_0,
     author = {Sanni, Mustapha Balewa and Ogouyandjou, Carlos and Moussa, Freedath Djibril},
     title = {Characterization of {Electre} {I} choice procedures},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1673--1683},
     year = {2020},
     publisher = {EDP Sciences},
     volume = {54},
     number = {6},
     doi = {10.1051/ro/2019110},
     mrnumber = {4150238},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2019110/}
}
TY  - JOUR
AU  - Sanni, Mustapha Balewa
AU  - Ogouyandjou, Carlos
AU  - Moussa, Freedath Djibril
TI  - Characterization of Electre I choice procedures
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2020
SP  - 1673
EP  - 1683
VL  - 54
IS  - 6
PB  - EDP Sciences
UR  - https://www.numdam.org/articles/10.1051/ro/2019110/
DO  - 10.1051/ro/2019110
LA  - en
ID  - RO_2020__54_6_1673_0
ER  - 
%0 Journal Article
%A Sanni, Mustapha Balewa
%A Ogouyandjou, Carlos
%A Moussa, Freedath Djibril
%T Characterization of Electre I choice procedures
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2020
%P 1673-1683
%V 54
%N 6
%I EDP Sciences
%U https://www.numdam.org/articles/10.1051/ro/2019110/
%R 10.1051/ro/2019110
%G en
%F RO_2020__54_6_1673_0
Sanni, Mustapha Balewa; Ogouyandjou, Carlos; Moussa, Freedath Djibril. Characterization of Electre I choice procedures. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1673-1683. doi: 10.1051/ro/2019110

[1] C. Berge, Graphes Et Hypergraphes. Dunod, Paris (1970). | MR | Zbl

[2] D. Bouysou, Outranking relations: Do they have special properties?. J. Multiple Criteria Decis. Anal. 5 (1996) 99–111. | Zbl | DOI

[3] D. Bouysou and M. Pirlot, A consolidated approach to the axiomatization of outranking relations: a survey and new results. Ann. Oper. Res. 229 (2015) 159–212. | MR | Zbl | DOI

[4] K. Eliaz and E.A. Ok, Indifference or indiciseveness? Choice-theoretic foundations of incomplete preferences. Games Econ. Behav. 56 (2006) 61–86. | MR | Zbl | DOI

[5] K. Govindan and M.B. Jepsen, Electre: a comprehensive literature review on methodologies and applications. Ann. Oper. Res. 250 (2016) 1–29. | MR | DOI

[6] R. Joseph, Making choices with a binary relation: relative choice axioms and transitive closures. Eur. J. Oper. Res. 207 (2010) 865–877. | MR | Zbl | DOI

[7] S. Lahiri, Stable sets of weak tournaments. Yugoslav J. Oper. Res. 14 (2004) 33–40. | MR | Zbl | DOI

[8] J.-F. Laslier, Tournament Solutions and Majority Voting. Springer, Berlin (1997). | MR | Zbl | DOI

[9] A. Mardani, A. Jusoh, K.M. Nor, Z. Khalifah, N. Zakwan and A. Valipour, Multiple criteria decision-making techniques and their applications a review of the literature from 2000 to 2014. Econ. Res. 28 (2015) 516–571.

[10] H. Moulin, Choosing from a tournament. Soc. Choice Welfare 3 (1986) 271–291. | MR | Zbl | DOI

[11] B. Roy, Classement et choix en présence de points de vue multiples (la méthode electre). RAIRO 2 (1968) 57–75.

[12] B. Roy, Algèbre moderne et théorie des graphes orientées vers les sciences économiques et sociales. In: Vol. 2 of Applications et problèmes spécifiques. Dunod, Paris (1970). | MR | Zbl

[13] B. Roy, D. Bouyssou, Aide multicritè à la décision: Méthodes et cas, Economica (1993). | Zbl

[14] M. Sanni, Etude des procédures de choix fondées sur des relations binaires. Ph.D. thesis, Université de Paris Dauphine (2010).

[15] T. Schwartz, Rationality and the myth of maximum. Noûs 6 (1972) 97–117. | DOI

[16] T. Schwartz, The Logic of Collective Choice. Columbia University Press (1986). | DOI

[17] J. Von Neumann and O. Morgenstern, Theory of games and economic behaviour. Princeton University Press, Princeton (1944). | MR | Zbl

[18] X. Yu, S. Zhang, X. Liao and X. Qi, Electre methods in prioritized mcdm environment. Inf. Sci. 424 (2018) 301–316. | MR | DOI

Cité par Sources :