Consistency of hesitant fuzzy linguistic preference relations: An interval consistency index
Type of publication: International Journal
Year of publication: 2018
Authors: Cong-Cong Li
Director: Rosa María Rodríguez, Francisco Herrera, Luis Martínez, Yucheng Dong
Type: Information Sciences
Editorial: Elsevier
Volumen: 432
Pagination: 347-361
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.
DOI: 10.1016/j.ins.2017.12.018