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System hierarchical structure division based on the graph and matrix theory. (Chinese. English summary) Zbl 1212.90208
Summary: Using the relationship between directed graph and adjacency matrix, the degree of a node and the calculative nature of the matrix, the order relationship between nodes of a directed graph is transformed to a hierarchical structure for the system elements, so as to lay the foundation for the solid qualitative analysis for evaluators and decision-makers enabling quantitative research using analytic hierarchy process.
90B50 Management decision making, including multiple objectives
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)