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Consistency of hesitant fuzzy linguistic preference relations: An interval consistency index

TítuloConsistency of hesitant fuzzy linguistic preference relations: An interval consistency index
Tipo de publicaciónRevista Internacional
Año de publicación2018
AutoresC-C. Li, R. M. Rodríguez, F. Herrera, L. Martínez and Y. Dong
RevistaInformation Sciences
Volumen432
Paginación347 - 361
EditorialElsevier
Palabras claveaverage index, consistency measure, hesitant fuzzy linguistic term sets, interval index, linguistic preference relation
Resumen

The study of hesitant consistency is very important in decision-making with hesitant fuzzy linguistic preference relations (HFLPRs), and generally the normalization method is used as a tool to measure the consistency degree of a HFLPR. In this paper we propose a new hesitant consistency measure, called interval consistency index, to estimate the consistency range of a HFLPR. The underlying idea of the interval consistency index consists of measuring the worst consistency index and the best consistency index of a HFLPR. Furthermore, by comparative study, a connection is shown between the interval consistency index and the normalization method, demonstrating that the normalization method should be considered as an approximate average consistency index of a HFLPR.

URLhttps://www.sciencedirect.com/science/article/pii/S0020025517304693
DOI10.1016/j.ins.2017.12.018
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