Recently interval neutrosophic hesitant fuzzy sets are found to be more general and useful to express incomplete, indeterminate and inconsistent information. In this paper, we define some new Einstein operational rules on interval neutrosophic hesitant fuzzy elements, then we propose the interval neutrosophic hesitant fuzzy Einstein Choquet integral (INHFECI) operator and discuss its properties. Further, an approach for multicriteria decision making is developed to study the interaction between the input arguments under the interval neutrosophic hesitant fuzzy environment. The main advantage of the proposed operator is that, it can deal with the situations of the positive interaction, negative interaction or non-interaction among the criteria, during the decision making process. Also, the proposed operator can replace the weighted average to aggregate dependent criteria of interval neutrosophic hesistant fuzzy information for obtaining more accurate results. Moreover, some interval neutrosophic hesitant fuzzy weighted average operators are proposed as special cases of INHFECI operator. Finally, an illustrative example follows.

中文翻译：

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用于多准则决策的区间中智犹豫模糊Einstein Choquet积分算子

最近，人们发现区间中智犹豫模糊集在表达不完整、不确定和不一致的信息方面更加通用和有用。在本文中，我们定义了区间中智犹豫模糊元的一些新的爱因斯坦运算规则，然后我们提出了区间中智犹豫模糊Einstein Choquet积分(INHFECI)算子并讨论了它的性质。此外，还开发了一种多准则决策方法来研究区间中智犹豫模糊环境下输入参数之间的相互作用。建议算子的主要优点是，它可以在决策过程中处理标准之间正相互作用、负相互作用或不相互作用的情况。还，建议的算子可以代替加权平均来聚合区间中智犹豫模糊信息的相关标准，以获得更准确的结果。此外，提出了一些区间中智犹豫模糊加权平均算子作为INHFECI算子的特例。最后，下面是一个说明性的例子。