Consistency of hesitant fuzzy linguistic preference relations: An interval consistency index
Information SciencesPublished 11 December 2017
Cong‐Cong Li, Rosa M. Rodríguez, Luis Martı́nez, Yucheng Dong, Francisco Herrera
Citations118
SJR quartileQ1
SJR score1.80
SNIP1.98
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TL;DR
This paper proposes a new hesitant consistency measure, called interval consistency index, to estimate the consistency range of a HFLPR, and shows that the normalization method should be considered as an approximate average consistency index of aHFLPR.
Abstract
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.
Keywords
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