<p>This paper presents a revolutionary method for solving fractional stochastic integro-differential equations with high accuracy and efficiency. The proposed approach involves the development of operational matrices for fractional integrals, stochastic integrals, and products, utilizing linear B-spline wavelet functions characterized by high precision and adaptability. The proposed method exhibits two critical features that distinguish it from conventional approaches. Firstly, it simplifies intricate problems by converting them into a linear system of algebraic equations, thereby enhancing their accuracy and reliability. Additionally, the approach employs thresholding to significantly reduce the computational workload in linear problems. Thresholding involves setting a threshold value to differentiate between relevant and irrelevant data. As a result, the method can avoid unnecessary calculations and focus only on the relevant data. Thresholding can help filter out noise or unwanted elements in a matrix, improving the quality of the data. This results in significantly faster and highly efficient problem-solving. The recently developed approach has revealed remarkable results in terms of both accuracy and efficiency, following a rigorous assessment of its error estimates and convergence. A thorough analysis shows that the scheme performs well and demonstrates significant potential as a reliable and efficient method. The findings indicate that the proposed method provides exceptional precision and operates with remarkable efficiency. These results are promising and suggest that this is an effective solution.</p>