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Soft Computing
Erschienen in: Soft Computing 4/2016

12.02.2015 | Methodologies and Application

Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers

Erschienen in: Soft Computing | Ausgabe 4/2016

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Abstract

A hesitant fuzzy linguistic set is an extension of both a linguistic term set and a hesitant fuzzy set. It combines a quantitative evaluation with a qualitative evaluation, which can describe the real preferences of decision makers and reflect their uncertainty, hesitancy and inconsistency. The focus of this paper is those multi-criteria decision-making (MCDM) problems in which the criteria values take the form of hesitant fuzzy linguistic numbers (HFLNs). Having reviewed the relevant literature, the Hausdorff distance for HFLNs is provided and some linguistic scale functions are applied. Subsequently, two hesitant fuzzy linguistic MCDM methods are proposed, which are based on the proposed distance measure and the TOPSIS and TODIM methods. The first of these MCDM methods is based on complete rationality, whilst the second is based on bounded rationality. Finally, an illustrative example is provided to verify the proposed methods, which are then compared to the existing approaches.
Vorheriger Artikel A comparison of feature ranking techniques for fault diagnosis of ball bearing
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Metadaten
Titel
Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers
Publikationsdatum
12.02.2015
Erschienen in
Soft Computing / Ausgabe 4/2016
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-015-1609-5

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