Decision making under uncertainty is a crucial issue and most demanding area of research now a days. Intuitionistic hesitant fuzzy set plays important role in dealing with the circumstances in which decision makers judge an alternative with a collection membership grades and a collection of non-membership grades. This paper contributes a novel and advanced distance measure between Intuitionistic Hesitant fuzzy sets (IHFSs). A comparative analysis of the present distance measure with existing measures is performed first. Afterwards, a case study is carried in multi-criteria decision making problem to exhibit the applicability and rationality of the proposed distance measure. The advantage of the proposed distance measure over the existing distance measures is that in case of deficit number of elements in IHFs, a decision maker can evaluate distance measure without adding extra elements to make them equivalent and furthermore, it works in successfully in all the situations. KeywordsHesitant fuzzy set, Intuitionistic fuzzy set, Intuitionistic hesitant fuzzy set, Fuzzy multi criteria decision making.

中文翻译：

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直觉犹豫模糊集下新型距离测度的模糊多准则决策算法

不确定性下的决策是至关重要的问题，并且是当今最苛刻的研究领域。直觉的犹豫模糊集在处理决策者通过集合成员等级和非成员等级来判断替代方案的情况下起着重要作用。本文为直觉犹豫模糊集（IHFS）之间的距离测量提供了一种新颖而先进的方法。首先对当前距离度量与现有度量进行比较分析。随后，在多准则决策问题中进行了案例研究，以证明所提出的距离度量的适用性和合理性。与现有的距离度量相比，拟议的距离度量的优势在于，如果IHF中的元素数量不足，决策者可以评估距离测度而无需添加额外的元素以使它们等效，此外，它可以在所有情况下成功运行。关键词：犹豫模糊集，直觉模糊集，直觉犹豫模糊集，模糊多准则决策。