论文标题

量子认知三合会。上下文表示的语义几何形状

Quantum Cognitive Triad. Semantic geometry of context representation

论文作者

Surov, Ilya A.

论文摘要

本文描述了一种相对于二分法决定替代方案的行为环境语义表示的算法。上下文表示为二维希尔伯特空间中的量子量子状态,可视化为Bloch球体上的点。该球体的方位角坐标是一个一维语义空间,在该空间中,根据其与所考虑的不确定性相关的主观相关性来容纳环境。上下文以有关二进制情况因素的知识来定义的三元组来处理。获得的上下文表示的三合会同时起着稳定的认知结构的作用,允许受试者建模概率变化的行为。开发的算法说明了一种基于量子理论的概念和数学设备进行定量主观语义建模的方法。

The paper describes an algorithm for semantic representation of behavioral contexts relative to a dichotomic decision alternative. The contexts are represented as quantum qubit states in two-dimensional Hilbert space visualized as points on the Bloch sphere. The azimuthal coordinate of this sphere functions as a one-dimensional semantic space in which the contexts are accommodated according to their subjective relevance to the considered uncertainty. The contexts are processed in triples defined by knowledge of a subject about a binary situational factor. The obtained triads of context representations function as stable cognitive structure at the same time allowing a subject to model probabilistically-variative behavior. The developed algorithm illustrates an approach for quantitative subjectively-semantic modeling of behavior based on conceptual and mathematical apparatus of quantum theory.

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