The theme of the thesis is a verifying framework for balanced scorecard or multi ¡V dimensional managerial indicators . The verifying framework consists of seven major modules , TETRAD , and LISREL . The seven major modules are mission-strategy-module,factor-analysis-module , dimension-indicator-module,principle-component- analysis-module,canonical-correlation-module, game-theory-module,and performance-vector-model. The verifying framework takes advantage of knowledge or tools of vector analysis, multivariate statistical analysis , game theory , fuzzy sets , and multiobjective decision making . The thesis hopes to offer a preciser quantitative verifying framework for balanced scorecard or multi-dimensional managerial indicators .