利用较多锥的内部和闭包，引进多目标规划问题的严格强较多有效解等概念．根据它们的表示定理，建立各类较多有效解的最优性条件，并由此得到严格弱较多有效解的Lagrange直接对偶和严格强较多有效解的tagrange逆对偶定理.

The concepts of several kinds of major efficient solutions are defined on the basis of the interior and closure of a major cone.The optimality condition for each kind of major efficient solution is established through its expression theorem.Then the Lagrange direct duality theorem for a strictly weakly major efficient solution and the Lagrange inverse for a strictly strongly major efficient solution are proven.