组合概念的一般量子模型：Fock空间中的量子场模型
General Quantum Modeling of Combining Concepts: A Quantum Field Model in Fock Space
摘要：
我们将Ayndham（2007 a）提出的Hilbert空间中的量子模型扩展为Fock空间中的量子场论模型，用于概念组合的建模。项目和概念在Fock空间中用向量表示，项目的隶属度权重用量子概率表示。我们应用这一理论来模拟概念的析取，并表明我们的理论对关于概念析取的项目的隶属权重的预测与Hampton（1988 b）进行的实验的完整结果集非常准确地匹配。正是干涉和叠加的量子效应是汉普顿观察到的过度延伸和欠延伸效应的起源，这些效应是对经典的析取用法的偏离。对于我们在量子场模型的预测和汉普顿的实验数据之间获得的完美匹配来说，至关重要的是，项目可以处于“不同数量的状态”的叠加中，这证明了需要量子场论的真正结构来将预测与实验数据相匹配。
英文摘要：
We extend a quantum model in Hilbert space developed in Aerts (2007a) into a quantum field theoric model in Fock space for the modeling of the combination of concepts. Items and concepts are represented by vectors in Fock space and membership weights of items are modeled by quantum probabilities. We apply this theory to model the disjunction of concepts and show that the predictions of our theory for the membership weights of items regarding the disjunction of concepts match with great accuracy the complete set of results of an experiment conducted by Hampton (1988b). It are the quantum effects of interference and superposition of that are at the origin of the effects of overextension and underextension observed by Hampton as deviations from a classical use of the disjunction. It is essential for the perfect matches we obtain between the predictions of the quantum field model and Hampton's experimental data that items can be in superpositions of `different numbers states' which proves that the genuine structure of quantum field theory is needed to match predictions with experimental data.
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