An optimization-based approach to estimate the range of consistency in hesitant fuzzy linguistic preference relations
Type of publication: International Conference
Year of publication: 2016
Authors: Cong-Cong Li
Director: Yucheng Dong, Francisco Herrera, Luis Martínez
Type: 2016 IEEE International Conference on Fuzzy Systems
Pagination: 864-871
ISBN Number: 978-1-5090-0626-7
Publication place: Vancouver (Canada)
Abstract: The study of consistency is a very important problem in decision making using preference relations. This paper focuses on measuring the consistency of hesitant fuzzy linguistic preference relations (HFLPRs). In this paper we propose the optimization-based approach to estimate the range of consistency degree in a HFLPR. The underlying idea of the proposed approach consists in measuring the pessimistic consistency index (PCI) of HFLPRs, and also the optimistic consistency index (OCI) of HFLPRs. The PCI of HFLPRs is determined by its linguistic preference relation with the worst consistency degree, and the OCI of HFLPRs is determined by its linguistic preference relation with the best consistency degree. Furthermore, numerical examples are provided to show the use of the proposed consistency measure
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