Abstract

The evaluation of sustainable rural tourism potential is a key work in sustainable rural tourism development. Due to the complexity of the rural tourism development situation and the limited cognition of people, most of the assessment problems for sustainable rural tourism potential are highly uncertain, which brings challenges to the characterisation and measurement of evaluation information. Besides, decision-makers (DMs) usually do not exhibit complete rationality in the practical evaluation process. To tackle such problems, this paper proposes a new behaviour multi-attribute group decision-making (MAGDM) method with probabilistic linguistic terms sets (PLTSs) by integrating Wasserstein distance measure into TODIM (an acronym in Portuguese of interactive and multicriteria decision making) method. Firstly, a new Wasserstein-based distance measure with PLTSs is defined, and some properties of the proposed distance are developed. Secondly, based on the correlation coefficient among attributes and standard deviation of each attribute, an attribute weight determination method (called PL-CRITIC method) is proposed. Subsequently, a Wasserstein distance-based probabilistic linguistic TODIM method is developed. Finally, the proposed method is applied to the evaluation of sustainable rural tourism potential, along with sensitivity and comparative analyses, as a means of illustrating the effectiveness and advantages of the new method.

摘要

可持续乡村旅游潜力评价是乡村旅游可持续发展的一项关键工作。由于乡村旅游发展形势的复杂性和人们认知的有限，可持续乡村旅游潜力的评价问题大多具有高度不确定性，这给评价信息的表征和测量带来了挑战。此外，决策者（DMs）在实际评估过程中通常不会表现出完全的理性。为了解决这些问题，本文通过将 Wasserstein 距离度量集成到 TODIM（交互式多准则决策的葡萄牙语首字母缩略词）方法中，提出了一种新的带有概率语言术语集（PLTS）的行为多属性群决策（MAGDM）方法。 . 首先，定义了一种新的基于 Wasserstein 的带有 PLTS 的距离度量，并开发了所提出的距离的一些属性。其次，基于属性间的相关系数和各属性的标准差，提出了一种属性权重确定方法（称为PL-CRITIC方法）。随后，开发了一种基于 Wasserstein 距离的概率语言 TODIM 方法。最后，将所提出的方法应用于可持续乡村旅游潜力的评估，以及敏感性和比较分析，以说明新方法的有效性和优势。提出了一种属性权重确定方法（称为PL-CRITIC方法）。随后，开发了一种基于 Wasserstein 距离的概率语言 TODIM 方法。最后，将所提出的方法应用于可持续乡村旅游潜力的评估，以及敏感性和比较分析，以说明新方法的有效性和优势。提出了一种属性权重确定方法（称为PL-CRITIC方法）。随后，开发了一种基于 Wasserstein 距离的概率语言 TODIM 方法。最后，将所提出的方法应用于可持续乡村旅游潜力的评估，以及敏感性和比较分析，以说明新方法的有效性和优势。