Multi-expert multi-criterion decision-making problems are complicated decision issues. Different experts have different opinions with regard to multi-criterion decision-making problems, depending on their background and experience. These experts provide information that usually contains certain, uncertain, and incomplete information simultaneously. However, traditional computing methods only fully consider certain information, and ignore uncertain or incomplete information, which causes information distortion in assessment results. In order to effectively solve the above problems, this paper proposes a new flexible method for solving multi-expert multi-criterion decision-making problem. The primary purpose of the proposed method is to fully consider all information provided by experts to avoid information distortion of assessment results. Finally, an illustrative example of computer numerical control (CNC) machine tool selection is provided to prove the practicality of the proposed method. After comparing the results generated by proposed method with the results generated using linguistic ordered weighted geometric averaging operator (LOWGA) operator and induced LOWGA operator methods, the results indicate that the proposed method integrating an induced LOWGA operator and a hesitant fuzzy linguistic term set is more flexible and is able to reflect real-world situations.

中文翻译：

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解决多专家多准则决策问题的一种灵活新方法

多专家，多标准的决策问题是复杂的决策问题。对于多准则决策问题，不同的专家会根据他们的背景和经验而有不同的看法。这些专家提供的信息通常通常同时包含某些，不确定和不完整的信息。然而，传统的计算方法仅充分考虑某些信息，而忽略不确定或不完整的信息，这会导致评估结果中的信息失真。为了有效地解决上述问题，本文提出了一种新的灵活的方法来解决多专家多准则决策问题。提出的方法的主要目的是充分考虑专家提供的所有信息，以避免评估结果的信息失真。最后，提供了计算机数控（CNC）机床选择的说明性示例，以证明所提方法的实用性。在将所提出的方法的结果与使用语言有序加权几何平均算子（LOWGA）算子和归纳LOWGA算子方法产生的结果进行比较之后，结果表明，所提出的方法将归纳LOWGA算子和犹豫的模糊语言术语集相结合。灵活，能够反映现实情况。