Abstract: Ambiguity and difficulty in quantification characterize the evaluation of CEOs' strategic leadership in China. An evaluation index system is therefore developed including five strategic abilities, i.e. wishful foresight, decision making/performing, public relations, analysis-making and execution. Also, an appraising scale is defined for language in the evaluation index system with an expression of triangular fuzzy numbers given correspondingly. Then, a generalized induced ordered weighted averaging (GIOWA) operator is used for aggregation to complete the evaluation of CEOs' strategic leadership. The evaluation index system provides an objective reference for the selection, check-up and training of CEOs, and its validity is verified via empirical example.