Quantum Finance and Fuzzy Reinforcement Learning-Based Multi-agent Trading System

In a volatile stock market, an investor’s long-term goal involves determining the most effective buying, selling strategies, and money management techniques in order to maximize profits. This paper introduces a multi-agent trading system to achieve this goal, termed QF-FRL, based on quantum finance and fuzzy reinforcement learning (QF-FRL). The system comprises two agents: (1) The trading agent, constructed using the Deep Deterministic Policy Gradient (DDPG) and Twin Delayed Deep Deterministic Policy Gradient (TD3). This agent employs a Denoising Auto Encoder (DAE) to extract stock representations from historical time series data. The trading agent initially employed the DDPG model, which was subsequently supplanted by the TD3 model. It integrates traditional financial technology indicators, like moving averages, with modern deep reinforcement learning technology to generate buying and selling signals for determining the optimal strategy. (2) The risk control agent, founded on quantum finance and an adaptive network-based fuzzy inference system. This agent merges the QPL indicator with a fuzzy risk control method to ascertain transaction amounts. Furthermore, a genetic algorithm is utilized to optimize the parameters of the fuzzy system, aiming to enhance profits and ensure accuracy in transactions at specific amounts. The experiments in this study involved selecting nine stocks and testing them against seven competing quantitative trading models. Upon comparing the profit rate, trading frequency, Sharpe ratio, and average return of each stock, eight stocks within the QF-FRL system achieved the highest returns and a greater number of transactions. Additionally, the QF-FRL system has also attained the highest average return and the second highest average Sharpe ratio. The results indicate that QF-FRL outperforms competing models, yielding higher profits and being particularly suitable for long-term investment. Moreover, it exhibits more favorable risk-adjusted returns and a notable degree of robustness.