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

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 hes- itant consistency measure, c...

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Detalles Bibliográficos
Autores: Li, CongCong, Rodriguez, Rosa M., Herrera, Francisco, Martínez, Luis, Dong, Yucheng
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Jaén
Repositorio:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/1790
Acceso en línea:https://www.sciencedirect.com/science/article/abs/pii/S0020025517304693
https://hdl.handle.net/10953/1790
Access Level:acceso abierto
Palabra clave:Linguistic preference relation
Hesitant fuzzy linguistic term sets
Consistency measure
Interval index
Average index
Descripción
Sumario: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 hes- itant consistency measure, called interval consistency index, to estimate the consistency range of a HFLPR. The underlying idea of the interval consistency index consists of measur- ing 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 con- sidered as an approximate average consistency index of a HFLPR.