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Due to complicated decision environment and limited knowledge of decision makers, decision makers may provide incomplete hesitant fuzzy linguistic preference relations (IHFLPRs) in group decision making (GDM) problems. Furthermore, to guarantee that decision makers are non-random and logical and obtain decision results that are accepted by most decision makers, it is necessary to consider individual consistency control in consensus reaching processes (CRPs) for GDM problems. In this paper, some models are developed to manage incomplete information and consensus for GDM with IHFLPRs. First, we develop an optimization model to impute missing elements for an IHFLPR, in which the best additive consistency index (BCI) and the average additive consistency index (ACI) are utilized to measure the additive consistency level of an IHFLPR. Afterwards, for CRPs in GDM with IHFLPRs, some local …