Grey Relational Analysis

In modeling, Grey Relational Analysis is a widely used algorithm for analyzing complex systems. Its fundamental approach involves categorizing the research subject into multiple influencing factors, establishing inter-factor relationships to construct a system model, and subsequently predicting system development trends. In practical applications, Grey Relational Analysis can be extensively utilized across various domains such as economics, environmental science, and social studies. The algorithm's primary advantage lies in its ability to derive rapid and accurate conclusions using minimal data, making it particularly favored by researchers. The implementation typically involves calculating relational coefficients between system characteristics and influence factors using mathematical formulas like: γ(x₀(k), xᵢ(k)) = (min + ρ·max) / (Δᵢ(k) + ρ·max), where ρ represents the分辨 coefficient. During the analysis of complex systems, this method enables researchers to comprehensively understand internal system correlations, thereby facilitating deeper exploration of inherent system patterns and characteristics through systematic data normalization and relational degree computation.