Consistency Theory Framework of DHHFLPRs

In decision-making processes, preference relations are popular and powerful techniques for expert preference modeling (Urena et al. in Inf Sci 302:14–32, 2015). Consistency measures of preference relations are the vital basis of group decision-making (GDM) and have been studied extensively, which show that the supplied preferences satisfy some transitive properties (Wu and Xu in Omega 65(3):28–40, 2016). Consistency measures mainly consist of two parts: (1) judging whether each preference relation is of acceptable consistency; (2) improving the preference relation with unacceptable consistency. Based on double hierarchy hesitant fuzzy linguistic preference information, Gou et al. (Inf Sci 489:93–112 2019), Gou et al. (Int J Strateg Prop Manag 42(1):1–23, 2020) discussed the additive consistency measures and multiplicative consistency measures for DHHFLPRs, respectively. In this chapter, we will deeply discuss these two consistency measures for DHHFLPRs.