As a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multiattribute decision-making problems based on the proposed operators. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the method.

中文翻译：

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基于单值中智犹豫模糊信息的归一化几何聚合算子的多属性决策方法

作为单值中智元素和犹豫模糊元素的概括，单值中智犹豫模糊元素（SVNHFE）是描述不确定和不精确信息的有效工具。因此，对于许多实际问题，处理单值中智犹豫模糊信息具有重要意义。本文从几何角度出发，基于一些归一化运算，研究了SVNHFEs的聚集。首先，定义了两个标准化操作来处理SVNHFE。然后，提出了一系列满足有效聚合算子基本条件的归一化聚合算子。此外，基于提出的算子，开发了一种用于解决多属性决策问题的决策方法。最后，