Another concept of generalized diagonal dominance for nonlinear functions (i.e. quasi-generalized nonlinear diagonal dominance) is introduced. This concept includes as special case generalized nonlinear diagonal dominance, possess much of important properties of generalized nonlinear diagonal dominance, easy to judge a nonlinear function is quasi-generalized nonlinear diagonally dominant if its derivative is a generalized diagonally dominant matrix on an convex set in Rn.提出了另一种非线性对角占优性(即拟对角占优性)，推广了现有非线性对角占优性，同时，拟对角占优性具有许多良好的性质，可以方便地利用其导函数是H矩阵去判定一个非线性函数是拟对角占优的。研究了拟对角占优函数的性质，并对判定非线性广义对角占优性的公开问题给出了反例。