A large number of studies in cognitive science have revealed that probabilistic outcomes of certain human decisions do not agree with the axioms of classical probability theory. The field of Quantum Cognition provides an alternative probabilistic model to explain such paradoxical findings. It posits that cognitive systems have an underlying quantum-like structure, especially in decision-making under uncertainty. In this paper, we hypothesise that relevance judgement, being a multidimensional, cognitive concept, can be used to probe the quantum-like structure for modelling users' cognitive states in information seeking. Extending from an experiment protocol inspired by the Stern-Gerlach experiment in Quantum Physics, we design a crowd-sourced user study to show violation of the Kolmogorovian probability axioms as a proof of the quantum-like structure, and provide a comparison between a quantum probabilistic model and a Bayesian model for predictions of relevance.

中文翻译：

---

多维关联判断中的类量子结构

认知科学的大量研究表明，某些人类决策的概率结果与经典概率论的公理不一致。量子认知领域提供了另一种概率模型来解释这种矛盾的发现。它假设认知系统具有潜在的类量子结构，尤其是在不确定性下的决策中。在本文中，我们假设相关性判断是一个多维的认知概念，可用于探索类量子结构，以模拟用户在信息搜索中的认知状态。从受量子物理学中 Stern-Gerlach 实验启发的实验协议扩展，