Abstract: The weighted variational principles for fuzzy factor are established making use of some concept, thinking and waysin fuzzy mathamatics and calculus of variation. In the course of numerical analysis, the forms of mathematics are changed to obtain optimum approximation values of solution by way of the fuzzy factor of successive refinement. The weighted variational principles are the genera-lest forms of the variational principles, which unite the mathematical forms of engineering structure with one formula. It is fundamental to establish the discrete equations for the large general programme system.