A Soundness Test for Multi Criteria Decision Models with Imprecise Data

DOI

10.2991/asum.k.210827.037How to use a DOI?

Keywords

Imprecision, Interval-valued data, Preference estimation

Abstract

This paper proposes a set of minimal conditions which should be fulfilled by any multi-criteria additive procedure set out to work under imprecision. The proposed conditions are defined in terms of binary preference relations, which are inferred from interval-valued alternatives, and are shown to be useful for evaluating the interval-based reasoning procedures of imprecise multi-criteria methods. In particular, well-known distance-based methods like TOPSIS and VIKOR are examined in their interval extensions, together with the interval-valued method of WOD, finding that only VIKOR fails to pass the complete test.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Camilo Franco
AU  - Jens Leth Hougaard
PY  - 2021
DA  - 2021/08/30
TI  - A Soundness Test for Multi Criteria Decision Models with Imprecise Data
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 274
EP  - 281
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.037
DO  - 10.2991/asum.k.210827.037
ID  - Franco2021
ER  -