As the tourism and mobile internet develop, car sharing is becoming more and more popular. How to select an appropriate car sharing platform is an important issue to tourists. The car sharing platform selection can be regarded as a kind of multi-attribute group decision making (MAGDM) problems. The probabilistic linguistic term set (PLTS) is a powerful tool to express tourists’ evaluations in the car sharing platform selection. This paper develops a probabilistic linguistic group decision making method for selecting a suitable car sharing platform. First, two aggregation operators of PLTSs are proposed. Subsequently, a fuzzy entropy and a hesitancy entropy of a PLTS are developed to measure the fuzziness and hesitancy of a PLTS, respectively. Combining the fuzzy entropy and hesitancy entropy, a total entropy of a PLTS is generated. Furthermore, a cross entropy between PLTSs is proposed as well. Using the total entropy and cross entropy, DMs’ weights and attribute weights are determined, respectively. By defining preference functions with PLTSs, an improved PL-PROMETHEE approach is developed to rank alternatives. Thereby, a novel method is proposed for solving MAGDM with PLTSs. A car sharing platform selection is examined at length to show the application and superiority of the proposed method.

中文翻译：

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一种基于熵的概率语言群决策方法及其在汽车共享平台选择中的应用

随着旅游业和移动互联网的发展，汽车共享越来越流行。如何选择合适的汽车共享平台是游客关注的重要问题。汽车共享平台选择可以看作是一种多属性群决策（MAGDM）问题。概率语言术语集（PLTS）是在汽车共享平台选择中表达游客评价的有力工具。本文开发了一种用于选择合适的汽车共享平台的概率语言群决策方法。首先，提出了PLTS的两个聚合算子。随后，开发了 PLTS 的模糊熵和犹豫熵来分别测量 PLTS 的模糊性和犹豫性。结合模糊熵和犹豫熵，生成PLTS的总熵。此外，还提出了 PLTS 之间的交叉熵。使用总熵和交叉熵，分别确定 DM 的权重和属性权重。通过使用 PLTS 定义偏好函数，开发了一种改进的 PL-PROMETHEE 方法来对备选方案进行排名。因此，提出了一种用 PLTS 求解 MAGDM 的新方法。对汽车共享平台选择进行了详细检查，以展示所提出方法的应用和优越性。