As an extension of neutrosophic set, interval complex neutrosophic set is a new research topic in the field of neutrosophic set theory, which can handle the uncertain, inconsistent and incomplete information in periodic data. Distance measure is an important tool to solve some problems in engineering and science. Hence, this paper presents some interval complex neutrosophic distance measures to deal with multi-criteria group decision-making problems. Firstly, this paper shows the definitions of interval complex neutrosophic set, and especially some novel set theoretic properties. Then, some new distance measures based on Hamming, Euclidean and Hausdorff metrics are proposed. Next, an approach is developed to rank the alternatives in multi-criteria group decision-making problems. Finally, a numerical example is given to demonstrate the practicality and effectiveness of these distance measures.

中文翻译：

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区间复杂中智集之间的距离度量及其在多准则群决策中的应用

作为中智集的扩展，区间复杂中智集是中智集理论领域的一个新的研究课题，它可以处理周期数据中不确定，不一致和不完整的信息。距离测量是解决工程和科学中一些问题的重要工具。因此，本文提出了一些区间复杂的中智距离度量方法，以解决多准则群体决策问题。首先，本文介绍了区间复数中智集的定义，特别是一些新颖的集理论性质。然后，提出了一些基于汉明，欧几里德和豪斯多夫度量的新距离度量。接下来，开发了一种方法来对多准则小组决策问题中的备选方案进行排名。最后，