Interval-based extensions of two outranking methods for multi-criteria ordinal classification

Eduardo Fernández, José Rui Figueira and Jorge Navarro

Omega, 2020, vol. 95, issue C

Abstract: We present two new interval-based extensions of ELECTRE TRI-nB and ELECTRE TRI-nC, in which the preference relations are built by using the interval outranking approach. The boundaries between adjacent classes (or categories) are described by a set of limiting profiles, whose criteria could take on values which are interval numbers. Compared to INTERCLASS (a recently proposed interval-based ordinal classification method), the assignments suggested by our first extension come from enhanced preference relations between the actions and limiting boundaries and are likely to be more appropriate. In addition, it can suggest assignments from a pseudo-conjunctive logic. In our second extension, each class is characterized by a set of representative actions, again allowing interval numbers as criterion scores. The outranking relations between actions and classes are enhanced by having several representative actions in each category. Both new extensions can handle imperfect knowledge of the model parameters (weights, veto thresholds, credibility threshold), even missing criterion scores. Some fundamental properties and results are proved to guarantee the consistency of the methods, which are also illustrated with some numerical examples.

Keywords: Multi-criteria analysis; Ordinal classification; Outranking approach; Interval mathematics (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (15)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0305048319300726
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:95:y:2020:i:c:s0305048319300726

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.omega.2019.05.001

Access Statistics for this article

Omega is currently edited by B. Lev

More articles in Omega from Elsevier
Bibliographic data for series maintained by Catherine Liu ().