The framework of interval-valued fuzzy preference relations (IVFPRs) is adequate and effective to model human preference evaluations under indeterminacy. This paper analyzes three recently presented multiplicative transitivity models of IVFPRs and exposes their drawbacks. An and-like-uninorm-based functional transitivity equation is developed to introduce a multiplicative consistency notion for IVFPRs. Based on the transitivity logarithmic equation, a geometric-consistency index is further proposed to compute the inconsistency level of an IVFPR. The paper builds a logarithmic least squares model with row indeterminacy constraints and equivalently transforms it into a quadratic programming model for finding a closed-form solution of the normalized interval-valued fuzzy weights of IVFPRs. A novel method is subsequently presented to check the acceptability of an IVFPR by examining its acceptable consistency and acceptable indeterminacy. An approach including an and-like-uninorm-based maximization model is introduced to aggregate local interval-valued fuzzy weights and an interval fuzzy analytic hierarchy process is designed step-by-step. An illustrative example and a comparison study are utilized to demonstrate the performance and merits of the presented models. Meanwhile, an outstanding undergraduate student selection problem in international exchange is provided to show the application of the proposed decision method.

区间值模糊偏好关系（IVFPR）的框架对于在不确定性下的人类偏好评估建模是足够有效的。本文分析了最近提出的三个IVFPR乘性传递模型，并揭示了它们的缺点。建立了一个基于等式的基于函数的传递方程，为IVFPR引入了乘性一致性概念。在传递对数方程的基础上，进一步提出了几何一致性指标来计算IVFPR的不一致性水平。本文建立了具有行不确定性约束的对数最小二乘模型，并将其等效转换为二次规划模型，以寻找IVFPR归一化间隔值模糊权重的封闭形式解。随后提出了一种新颖的方法，通过检查IVFPR的可接受一致性和可接受不确定性来检查其可接受性。引入了一种基于类和基于范数的最大化模型的方法来聚合局部区间值模糊权重，并逐步设计了区间模糊分析层次过程。一个说明性的例子和一个比较研究被用来证明所提出的模型的性能和优点。同时，提供了国际交流中一个突出的本科生选拔问题，以说明该决策方法的应用。引入了一种基于类和基于范数的最大化模型的方法来聚合局部区间值模糊权重，并逐步设计了区间模糊分析层次过程。一个说明性的例子和一个比较研究被用来证明所提出的模型的性能和优点。同时，提供了国际交流中一个突出的本科生选拔问题，以说明该决策方法的应用。引入了一种基于类和基于范数的最大化模型的方法来聚合局部区间值模糊权重，并逐步设计了区间模糊分析层次过程。一个说明性的例子和一个比较研究被用来证明所提出的模型的性能和优点。同时，提供了国际交流中一个突出的本科生选拔问题，以说明该决策方法的应用。