A Soundness Test for Multi Criteria Decision Models with Imprecise Data

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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.
Original languageEnglish
Title of host publicationJoint 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)
Number of pages8
PublisherAtlantis Press
Publication date2021
Pages274-281
ISBN (Electronic)978-94-6239-423-0
DOIs
Publication statusPublished - 2021
SeriesAtlantis Studies in Uncertainty Modelling
Volume3
ISSN2589-6644

ID: 280066334