The main purpose of this planned manuscript is to establish an algorithm for the solution of multiattribute decision-making (MADM) issues, where the experts utilizing linguistic variables provide the information about attributes in the form of picture hesitant fuzzy numbers. So, for the solution of these kinds of issues, we develop the TOPSIS algorithm under picture hesitant fuzzy environment using linguistic variables, which plays a vital role in practical applications, notably MADM issues, where the decision information is arranged by the decision-makers (DMs) in the form of picture hesitant fuzzy numbers. Finally, a sample example is given as an application and appropriateness of the planned method. At the end, we conduct comparison analysis of the planned method with picture fuzzy TOPSIS method and intuitionistic fuzzy TOPSIS method.

中文翻译：

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基于语言变量的图像犹豫模糊环境下供应商选择的扩展TOPSIS方法

该计划手稿的主要目的是建立一种用于解决多属性决策（MADM）问题的算法，利用语言变量的专家以图像犹豫的模糊数的形式提供有关属性的信息。因此，为解决此类问题，我们在使用语言变量的图像犹豫模糊环境下开发了TOPSIS算法，该算法在实际应用中起着至关重要的作用，尤其是MADM问题，其中决策者由决策者来安排决策（ DM）以图片犹豫的模糊数形式出现。最后，给出了一个示例示例，作为计划方法的应用和适当性。最后，对图片模糊TOPSIS法和直觉模糊TOPSIS法对计划方法进行了比较分析。