This study pioneers a comprehensive framework for momentum prediction, incorporating a multifaceted methodology that integrates Markov chains, Analytic Hierarchy Process (AHP)-TOPSIS, and Principal Component Analysis (PCA). This novel amalgamation enhances the robustness and depth of the predictive analysis. The use of AHP-TOPSIS augments decision-making processes by prioritizing critical factors influencing momentum, while PCA contributes to data dimensionality reduction, ensuring a focused and efficient analysis. This holistic approach not only advances the methodological landscape of sports momentum prediction but also sets a precedent for future interdisciplinary research in predictive analytics.