The problem of hotel selection involves lots of uncertain information and multiple factors and can be identified as a multi-criteria decision-making problem. Aiming at the information description, measure, and fusion of hotel selection problems, this study develops multi-criteria decision-making methods based on Z-numbers and their projection measure and fusion techniques. To manage the three-dimensional structure of Z-numbers effectively, an optimization model is introduced to determine the potential probability distributions involved in Z-numbers. Then, the module, inner product, and cosine of Z-numbers are defined, and the projection measure of Z-numbers is presented by dealing with the three-dimensional structure of Z-numbers directly. Moreover, some Z-number Choquet integral projection operators are proposed for fusing Z-number evaluation information. Subsequently, an improved Multi-Objective Optimization by Ratio Analysis plus the Full Multiplicative Form method and an innovative pairwise evaluation-based multi-criteria decision-making method are developed. Based on the ideas of content-based recommendation and collaborative filtering recommendation, the above two methods are applied to solve hotel selection problems. And the sensitivity analysis and comparison discussion are conducted to demonstrate the applicability and validity of the two methods.

酒店选择问题涉及的不确定信息多、因素多，可以识别为多准则决策问题。针对酒店选择问题的信息描述、测度和融合，本研究开发了基于Z- numbers及其投影测度和融合技术的多准则决策方法。为了有效地管理Z数的三维结构，引入了优化模型来确定Z数中涉及的潜在概率分布。然后，模块，内积，以及余弦ž -值被限定，并且的投影测量Ž-numbers 是通过直接处理Z -numbers的三维结构来呈现的。此外，还提出了一些Z 数Choquet 积分投影算子来融合Z 数评估信息。随后，开发了一种改进的比率分析多目标优化加完全乘法形式方法和一种创新的基于成对评估的多标准决策方法。基于基于内容的推荐和协同过滤推荐的思想，将上述两种方法应用于酒店选择问题的解决。并通过敏感性分析和比较讨论来证明两种方法的适用性和有效性。