In this paper, we first extend the Heronian mean (HM), which can capture the correlations of the aggregated arguments, to aggregate the neutrosophic hesitant fuzzy set (NHFS) which is the generalization of neutrosophic sets (NSs) and hesitant fuzzy sets (HFSs). And then we propose some new Heronian mean operators for NHFS, including the neutrosophic hesitant fuzzy improved generalized weighted Heronian mean (NHFIGWHM) operator and the neutrosophic hesitant fuzzy improved generalized geometric weighted Heronian mean (NHFIGGWHM) operator. At the same time, some properties about these operators are investigated, such as idempotency, monotonicity, boundedness and so on. Furthermore, an approach for multiple criteria decision making (MCDM) based these operators is proposed. Finally, an example is given to illustrate the application and effectiveness of the developed approach.
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