A theoretical look at Electre Tri-nB and related sorting models
- Author
- Denis Bouyssou, Thierry Marchant (UGent) and Marc Pirlot
- Organization
- Abstract
- ELECTRE TRI is a set of methods designed to sort alternatives evaluated on several criteria into ordered categories. In these methods, alternatives are assigned to categories by comparing them with reference profiles that represent either the boundary or central elements of the category. The original ELECTRE TRI-B method uses one limiting profile for separating a category from the category below. A more recent method, ELECTRE TRI-nB, allows one to use several limiting profiles for the same purpose. We investigate the properties of ELECTRE TRI-nB using a conjoint measurement framework. When the number of limiting profiles used to define each category is not restricted, ELECTRE TRI-nB is easy to characterize axiomatically and is found to be equivalent to several other methods proposed in the literature. We extend this result in various directions.
- Keywords
- Multiple criteria analysis, Sorting models, Electre Tri, OUTRANKING RELATIONS, TRI-NB, CLASSIFICATION, SETS, AXIOMATIZATION, UTILITY
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8742008
- MLA
- Bouyssou, Denis, et al. “A Theoretical Look at Electre Tri-NB and Related Sorting Models.” 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, vol. 21, no. 1, 2023, pp. 1–31, doi:10.1007/s10288-022-00501-9.
- APA
- Bouyssou, D., Marchant, T., & Pirlot, M. (2023). A theoretical look at Electre Tri-nB and related sorting models. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 21(1), 1–31. https://doi.org/10.1007/s10288-022-00501-9
- Chicago author-date
- Bouyssou, Denis, Thierry Marchant, and Marc Pirlot. 2023. “A Theoretical Look at Electre Tri-NB and Related Sorting Models.” 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH 21 (1): 1–31. https://doi.org/10.1007/s10288-022-00501-9.
- Chicago author-date (all authors)
- Bouyssou, Denis, Thierry Marchant, and Marc Pirlot. 2023. “A Theoretical Look at Electre Tri-NB and Related Sorting Models.” 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH 21 (1): 1–31. doi:10.1007/s10288-022-00501-9.
- Vancouver
- 1.Bouyssou D, Marchant T, Pirlot M. A theoretical look at Electre Tri-nB and related sorting models. 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH. 2023;21(1):1–31.
- IEEE
- [1]D. Bouyssou, T. Marchant, and M. Pirlot, “A theoretical look at Electre Tri-nB and related sorting models,” 4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, vol. 21, no. 1, pp. 1–31, 2023.
@article{8742008,
abstract = {{ELECTRE TRI is a set of methods designed to sort alternatives evaluated on several criteria into ordered categories. In these methods, alternatives are assigned to categories by comparing them with reference profiles that represent either the boundary or central elements of the category. The original ELECTRE TRI-B method uses one limiting profile for separating a category from the category below. A more recent method, ELECTRE TRI-nB, allows one to use several limiting profiles for the same purpose. We investigate the properties of ELECTRE TRI-nB using a conjoint measurement framework. When the number of limiting profiles used to define each category is not restricted, ELECTRE TRI-nB is easy to characterize axiomatically and is found to be equivalent to several other methods proposed in the literature. We extend this result in various directions.}},
author = {{Bouyssou, Denis and Marchant, Thierry and Pirlot, Marc}},
issn = {{1619-4500}},
journal = {{4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH}},
keywords = {{Multiple criteria analysis,Sorting models,Electre Tri,OUTRANKING RELATIONS,TRI-NB,CLASSIFICATION,SETS,AXIOMATIZATION,UTILITY}},
language = {{eng}},
number = {{1}},
pages = {{1--31}},
title = {{A theoretical look at Electre Tri-nB and related sorting models}},
url = {{http://doi.org/10.1007/s10288-022-00501-9}},
volume = {{21}},
year = {{2023}},
}
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