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Title: Consistency of hesitant fuzzy linguistic preference relations: An interval consistency index
Authors: Li, CongCong
Rodriguez, Rosa M.
Herrera, Francisco
Martínez, Luis
Dong, Yucheng
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 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.
Keywords: Linguistic preference relation
Hesitant fuzzy linguistic term sets
Consistency measure
Interval index
Average index
Issue Date: Mar-2018
metadata.dc.description.sponsorship: the grant (No. 71571124 ) from NSF of China, the Spanish National research project TIN2015-66524-P and Spanish Ministry of Economy and Finance Postdoctoral fellow (IJCI-2015-23715) and ERDF
Publisher: Elsevier
Citation: C.C. Li, R.M. Rodríguez, F. Herrera, L. Martínez, Y. Dong, Consistency of hesitant fuzzy linguistic preference relations: An interval consistency index. Information Sciences, vol. 432, pp. 347-361, 2018. 10.1016/j.ins.2017.12.018
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